Factorization of cyclotomic number Phi

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Φ₁₆₂₀₀₁(10) = 9000000900..._<138852> = 179854755663689_<15> × [5004038323..._<138838>] (0.01%)

Φ₁₆₂₀₀₂(10) = 9090909090..._<81000> = [9090909090..._<81000>] (0.00%)

Φ₁₆₂₀₀₃(10) = 9009009009..._<108000> = [9009009009..._<108000>] (0.00%)

Φ₁₆₂₀₀₄(10) = 1009999999..._<80001> = 40825009 × 193918789 × 853308334711381_<15> × [1495096437..._<79970>] (0.04%)

Φ₁₆₂₀₀₅(10) = 9000090000..._<129600> = [9000090000..._<129600>] (0.00%)

Φ₁₆₂₀₀₆(10) = 1098901098..._<47521> = 6804253 × 544185606277_<12> × 96465780286357_<14> × [3076506395..._<47488>] (0.07%)

Φ₁₆₂₀₀₇(10) = 1111111111..._<162007> = 5760834815778283511_<19> × [1928732808..._<161988>] (0.01%)

Φ₁₆₂₀₀₈(10) = 9999000099..._<62880> = 59780953 × [1672606340..._<62873>] (0.01%)

Φ₁₆₂₀₀₉(10) = 1001000999..._<105433> = [1001000999..._<105433>] (0.00%)

Φ₁₆₂₀₁₀(10) = 9091000000..._<60928> = 162011 × 1274856691_<10> × 663746545481_<12> × [6631373869..._<60902>] (0.04%)

Φ₁₆₂₀₁₁(10) = 1111111111..._<162011> = 136496859677_<12> × [8140195413..._<161999>] (0.01%)

Φ₁₆₂₀₁₂(10) = 9901000000..._<51568> = 3417083388541_<13> × [2897500258..._<51556>] (0.02%)

Φ₁₆₂₀₁₃(10) = 9000000000..._<153468> = 972079 × [9258506767..._<153462>] (0.00%)

Φ₁₆₂₀₁₄(10) = 1099999999..._<79577> = 13385596681_<11> × [8217788315..._<79566>] (0.01%)

Φ₁₆₂₀₁₅(10) = 9009100000..._<74016> = [9009100000..._<74016>] (0.00%)

Φ₁₆₂₀₁₆(10) = 1000000000..._<78721> = 162017 × [6172191807..._<78715>] (0.01%)

Φ₁₆₂₀₁₇(10) = 1111111111..._<162017> = [1111111111..._<162017>] (0.00%)

Φ₁₆₂₀₁₈(10) = 1000999998..._<54001> = [1000999998..._<54001>] (0.00%)

Φ₁₆₂₀₁₉(10) = 1000000000..._<134641> = 51522043 × 232011209 × 7156379231_<10> × [1168973350..._<134615>] (0.02%)

Φ_162020L(10) = 3576409999..._<32400> = 31593901 × 48025481529901_<14> × [2357069127..._<32379>] (0.07%)

Φ_162020M(10) = 2824060999..._<32401> = 432431381 × 40667576500253260764901_<23> × 1380506591476153081145761_<25> × [1163242051..._<32346>] (0.17%)

Φ₁₆₂₀₂₁(10) = 1109999999..._<105873> = [1109999999..._<105873>] (0.00%)

Φ₁₆₂₀₂₂(10) = 9090910000..._<68040> = 3078419 × [2953110021..._<68034>] (0.01%)

Φ₁₆₂₀₂₃(10) = 1111111111..._<151201> = [1111111111..._<151201>] (0.00%)

Φ₁₆₂₀₂₄(10) = 9999000100..._<52416> = 4698697 × 3084936961_<10> × [6898153255..._<52400>] (0.03%)

Φ₁₆₂₀₂₅(10) = 9999900000..._<129600> = 99807401 × [1001919687..._<129593>] (0.01%)

Φ₁₆₂₀₂₆(10) = 9090909090..._<81012> = 388862401 × 49596373347154063_<17> × [4713694596..._<80987>] (0.03%)

Φ₁₆₂₀₂₇(10) = 1000000001..._<101377> = 3642366961_<10> × 4927241071_<10> × [5572017751..._<101357>] (0.02%)

Φ₁₆₂₀₂₈(10) = 9900990099..._<81012> = 82796309 × 1836261703721_<13> × 402827190762949_<15> × [1616643628..._<80978>] (0.04%)

Φ₁₆₂₀₂₉(10) = 1111110999..._<136657> = [1111110999..._<136657>] (0.00%)

Φ₁₆₂₀₃₀(10) = 1098890109..._<39201> = 70499707980241_<14> × [1558715832..._<39187>] (0.04%)

Φ₁₆₂₀₃₁(10) = 9000000000..._<161200> = 23855564880401_<14> × [3772704626..._<161187>] (0.01%)

Φ₁₆₂₀₃₂(10) = 9999999900..._<69120> = 247123266833_<12> × [4046563493..._<69109>] (0.02%)

Φ₁₆₂₀₃₃(10) = 9009009009..._<108020> = 324067 × [2779983462..._<108015>] (0.01%)

Φ₁₆₂₀₃₄(10) = 9090909090..._<81016> = 6967463 × [1304766037..._<81010>] (0.01%)

Φ₁₆₂₀₃₅(10) = 1111099999..._<123905> = 5185121 × 575888014062841_<15> × [3720970375..._<123883>] (0.02%)

Φ₁₆₂₀₃₆(10) = 9999990000..._<46224> = 3880278931771640161_<19> × [2577131741..._<46206>] (0.04%)

Φ₁₆₂₀₃₇(10) = 9000000000..._<156780> = 6747911605769_<13> × [1333745983..._<156768>] (0.01%)

Φ₁₆₂₀₃₈(10) = 9090909090..._<81018> = 1978528702489_<13> × [4594782516..._<81006>] (0.02%)

Φ₁₆₂₀₃₉(10) = 9009009009..._<108024> = 2268547 × 20092837 × 981718790827_<12> × [2013264681..._<107999>] (0.02%)

Φ₁₆₂₀₄₀(10) = 1000099999..._<64801> = 6805681 × [1469507606..._<64794>] (0.01%)

Φ₁₆₂₀₄₁(10) = 9000000000..._<147300> = 110998409083_<12> × 574519606321_<12> × [1411305067..._<147278>] (0.02%)

Φ₁₆₂₀₄₂(10) = 9100000000..._<53312> = 20171798371_<11> × [4511248740..._<53302>] (0.02%)

Φ₁₆₂₀₄₃(10) = 9999999000..._<138852> = 648173 × 460850293 × [3347720196..._<138838>] (0.01%)

Φ₁₆₂₀₄₄(10) = 1009999999..._<76225> = 601183241 × 123021374141_<12> × [1365632785..._<76205>] (0.03%)

Φ₁₆₂₀₄₅(10) = 9990000009..._<79488> = 26899471 × 9149708881_<10> × [4058957211..._<79471>] (0.02%)

Φ₁₆₂₀₄₆(10) = 9090909090..._<81022> = 841694268614317_<15> × [1080072590..._<81008>] (0.02%)

Φ₁₆₂₀₄₇(10) = 9000000000..._<160680> = [9000000000..._<160680>] (0.00%)

Φ₁₆₂₀₄₈(10) = 1000000000..._<53761> = [1000000000..._<53761>] (0.00%)

Φ₁₆₂₀₄₉(10) = 9000000000..._<161236> = 109467340481_<12> × [8221630269..._<161225>] (0.01%)

Φ₁₆₂₀₅₀(10) = 9999900000..._<55440> = 90779975057801_<14> × [1101553508..._<55427>] (0.03%)

Φ₁₆₂₀₅₁(10) = 1109999999..._<102313> = [1109999999..._<102313>] (0.00%)

Φ₁₆₂₀₅₂(10) = 9900990099..._<70560> = 477302126929_<12> × [2074365384..._<70549>] (0.02%)

Φ₁₆₂₀₅₃(10) = 1111111111..._<162053> = 972319 × 3665717013948523_<16> × 455764003592207053_<18> × [6839900144..._<162013>] (0.02%)

Φ₁₆₂₀₅₄(10) = 1000000000..._<54001> = 212128687 × [4714119599..._<53992>] (0.02%)

Φ₁₆₂₀₅₅(10) = 9000090000..._<129640> = [9000090000..._<129640>] (0.00%)

Φ₁₆₂₀₅₆(10) = 1000099999..._<79121> = 165485473961513_<15> × [6043430737..._<79106>] (0.02%)

Φ₁₆₂₀₅₇(10) = 1109999889..._<92593> = 1980984768001_<13> × [5603273215..._<92580>] (0.01%)

Φ₁₆₂₀₅₈(10) = 9090909090..._<71280> = 3900553582693_<13> × [2330671505..._<71268>] (0.02%)

Φ₁₆₂₀₅₉(10) = 1111111111..._<162059> = 324119 × 274339273170439891313111_<24> × [1249582736..._<162030>] (0.02%)

Φ_162060L(10) = 3952674100..._<20736> = 1944721 × [2032514741..._<20730>] (0.03%)

Φ_162060M(10) = 2555229609..._<20737> = 2755021 × [9274809919..._<20730>] (0.03%)

Φ₁₆₂₀₆₁(10) = 9000000000..._<152512> = 524753519 × [1715090928..._<152504>] (0.01%)

Φ₁₆₂₀₆₂(10) = 9090909090..._<81030> = 972373 × 37838460053809_<14> × 1639278373397437245167_<22> × [1507260302..._<80990>] (0.05%)

Φ₁₆₂₀₆₃(10) = 1001000999..._<98161> = 59963311 × 168248140877521_<15> × [9921986504..._<98138>] (0.02%)

Φ₁₆₂₀₆₄(10) = 1000000009..._<69409> = [1000000009..._<69409>] (0.00%)

Φ₁₆₂₀₆₅(10) = 9000090000..._<129648> = 3112944521_<10> × [2891182268..._<129639>] (0.01%)

Φ₁₆₂₀₆₆(10) = 1098901098..._<54021> = 1603650362971_<13> × 178950361794727_<15> × [3829273092..._<53994>] (0.05%)

Φ₁₆₂₀₆₇(10) = 9000000000..._<158256> = 972403 × [9255421877..._<158250>] (0.00%)

Φ₁₆₂₀₆₈(10) = 1009999999..._<78361> = [1009999999..._<78361>] (0.00%)

Φ₁₆₂₀₆₉(10) = 1109999999..._<106657> = 502738039 × [2207909316..._<106648>] (0.01%)

Φ₁₆₂₀₇₀(10) = 9091000000..._<61344> = 7295982616673521_<16> × [1246028188..._<61329>] (0.03%)

Φ₁₆₂₀₇₁(10) = 1000000000..._<127297> = 4863426569_<10> × 68766401159_<11> × [2990069896..._<127276>] (0.02%)

Φ₁₆₂₀₇₂(10) = 1000000000..._<54001> = [1000000000..._<54001>] (0.00%)

Φ₁₆₂₀₇₃(10) = 1111111111..._<153121> = 648293 × 30793871 × [5565726639..._<153107>] (0.01%)

Φ₁₆₂₀₇₄(10) = 9090909091..._<71760> = [9090909091..._<71760>] (0.00%)

Φ₁₆₂₀₇₅(10) = 1000010000..._<86401> = 324151 × 3889801 × [7931030017..._<86388>] (0.01%)

Φ₁₆₂₀₇₆(10) = 9900990099..._<81036> = 475222715449_<12> × 11111085009509_<14> × [1875102290..._<81012>] (0.03%)

Φ₁₆₂₀₇₇(10) = 9000000000..._<159360> = 23663243 × 72523622729_<11> × [5244314832..._<159342>] (0.01%)

Φ₁₆₂₀₇₈(10) = 1098900989..._<43393> = [1098900989..._<43393>] (0.00%)

Φ₁₆₂₀₇₉(10) = 1111111111..._<162079> = 648317 × [1713839234..._<162073>] (0.00%)

Φ₁₆₂₀₈₀(10) = 1000000000..._<64769> = 324161 × 972481 × 15765845761_<11> × 1244024617921_<13> × [1617379236..._<64735>] (0.05%)

Φ₁₆₂₀₈₁(10) = 1000000000..._<99793> = [1000000000..._<99793>] (0.00%)

Φ₁₆₂₀₈₂(10) = 9090909090..._<81040> = 39438927300247_<14> × [2305059927..._<81027>] (0.02%)

Φ₁₆₂₀₈₃(10) = 9000000000..._<160488> = 69047359 × [1303453184..._<160481>] (0.00%)

Φ₁₆₂₀₈₄(10) = 9901000000..._<49824> = 10102695721_<11> × 22394857284229_<14> × [4376162985..._<49801>] (0.05%)

Φ₁₆₂₀₈₅(10) = 9000090900..._<100800> = 2593361 × [3470435045..._<100794>] (0.01%)

Φ₁₆₂₀₈₆(10) = 9090909090..._<81042> = 1296689 × 305207939 × [2297077574..._<81028>] (0.02%)

Φ₁₆₂₀₈₇(10) = 1109999999..._<106753> = 62241409 × 4684962649_<10> × 4829544253_<10> × 12985762093_<11> × [6069652653..._<106715>] (0.03%)

Φ₁₆₂₀₈₈(10) = 9999000099..._<81040> = 758085577 × [1318980389..._<81032>] (0.01%)

Φ₁₆₂₀₈₉(10) = 9999999999..._<153216> = 16533079 × 102597976481723_<15> × [5895321085..._<153195>] (0.01%)

Φ₁₆₂₀₉₀(10) = 9990010000..._<43200> = [9990010000..._<43200>] (0.00%)

Φ₁₆₂₀₉₁(10) = 1111111111..._<162091> = [1111111111..._<162091>] (0.00%)

Φ₁₆₂₀₉₂(10) = 1000000000..._<69385> = [1000000000..._<69385>] (0.00%)

Φ₁₆₂₀₉₃(10) = 1109999999..._<106401> = 132320730319_<12> × [8388708234..._<106389>] (0.01%)

Φ₁₆₂₀₉₄(10) = 9090909090..._<81046> = 2107223 × 37642891667933597569_<20> × [1146077111..._<81021>] (0.03%)

Φ₁₆₂₀₉₅(10) = 1111099999..._<121985> = [1111099999..._<121985>] (0.00%)

Φ₁₆₂₀₉₆(10) = 9999999900..._<48960> = 21072481 × 12588299800246369_<17> × [3769790774..._<48937>] (0.05%)

Φ₁₆₂₀₉₇(10) = 1111111111..._<145153> = 25287133 × 119627587 × [3673047587..._<145137>] (0.01%)

Φ₁₆₂₀₉₈(10) = 9090909090..._<81048> = 21333376725809_<14> × 1826435663655866849_<19> × [2333153613..._<81017>] (0.04%)

Φ₁₆₂₀₉₉(10) = 9990000009..._<88560> = [9990000009..._<88560>] (0.00%)

Φ_162100L(10) = 9900498007..._<32400> = 1567831201_<10> × 857662022401_<12> × [7362775490..._<32379>] (0.07%)

Φ_162100M(10) = 1010050200..._<32401> = 22762301697858301_<17> × [4437381659..._<32384>] (0.05%)

remove soft hyphens ソフトハイフンを取り除く | plain text version プレーンテキスト版