Factorization of cyclotomic number Phi

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Φ₁₈₂₀₀₁(10) = 9009009009..._<110160> = 233325283 × 43105482298009_<14> × [8957415321..._<110138>] (0.02%)

Φ₁₈₂₀₀₂(10) = 9090909090..._<83200> = [9090909090..._<83200>] (0.00%)

Φ₁₈₂₀₀₃(10) = 9000000000..._<177048> = [9000000000..._<177048>] (0.00%)

Φ₁₈₂₀₀₄(10) = 9901000000..._<58464> = 15687288769_<11> × [6311479405..._<58454>] (0.02%)

Φ₁₈₂₀₀₅(10) = 1111099999..._<143617> = 1834246391_<10> × 31337984911_<11> × [1932966855..._<143597>] (0.01%)

Φ₁₈₂₀₀₆(10) = 1099999999..._<82721> = 197136230672371_<15> × [5579897699..._<82706>] (0.02%)

Φ₁₈₂₀₀₇(10) = 1000000000..._<103033> = [1000000000..._<103033>] (0.00%)

Φ₁₈₂₀₀₈(10) = 9999000099..._<91000> = 6045577729_<10> × [1653936240..._<90991>] (0.01%)

Φ₁₈₂₀₀₉(10) = 1111111111..._<182009> = [1111111111..._<182009>] (0.00%)

Φ₁₈₂₀₁₀(10) = 9100090999..._<48528> = 910051 × 221324161 × 279975196541371_<15> × [1613732773..._<48500>] (0.06%)

Φ₁₈₂₀₁₁(10) = 1111111111..._<182011> = 9355365401_<10> × [1187672595..._<182001>] (0.01%)

Φ₁₈₂₀₁₂(10) = 9900990099..._<91004> = 2730181 × 81549173212069_<14> × [4447005063..._<90984>] (0.02%)

Φ₁₈₂₀₁₃(10) = 1000000000..._<111697> = 364027 × [2747048982..._<111691>] (0.00%)

Φ₁₈₂₀₁₄(10) = 1099999890..._<78001> = 2366183 × [4648836924..._<77994>] (0.01%)

Φ₁₈₂₀₁₅(10) = 1111099999..._<142913> = 364031 × [3052212586..._<142907>] (0.00%)

Φ₁₈₂₀₁₆(10) = 1000000000..._<59905> = 37677313 × 2030412324097_<13> × [1307181329..._<59885>] (0.03%)

Φ₁₈₂₀₁₇(10) = 9000000000..._<165460> = [9000000000..._<165460>] (0.00%)

Φ₁₈₂₀₁₈(10) = 9090909090..._<91008> = 4966533464642401_<16> × [1830433471..._<90993>] (0.02%)

Φ₁₈₂₀₁₉(10) = 9009009009..._<110208> = 1123057231_<10> × 56004333997_<11> × [1432364324..._<110189>] (0.02%)

Φ_182020L(10) = 2796100002..._<34417> = 51153899181031853581_<20> × [5466054489..._<34397>] (0.06%)

Φ_182020M(10) = 3540999996..._<34416> = 3611822861_<10> × [9803913792..._<34406>] (0.03%)

Φ₁₈₂₀₂₁(10) = 9000000900..._<156012> = [9000000900..._<156012>] (0.00%)

Φ₁₈₂₀₂₂(10) = 9100000000..._<57992> = [9100000000..._<57992>] (0.00%)

Φ₁₈₂₀₂₃(10) = 9000000000..._<180880> = 2912369 × 52772836253_<11> × [5855792431..._<180863>] (0.01%)

Φ₁₈₂₀₂₄(10) = 1000099999..._<89281> = 4301260430393_<13> × [2325132402..._<89268>] (0.01%)

Φ₁₈₂₀₂₅(10) = 1000000000..._<96961> = [1000000000..._<96961>] (0.00%)

Φ₁₈₂₀₂₆(10) = 1099999999..._<84001> = 1274183 × [8632982860..._<83994>] (0.01%)

Φ₁₈₂₀₂₇(10) = 1111111111..._<182027> = 233814569427707_<15> × 23350625803311070213_<20> × [2035107697..._<181993>] (0.02%)

Φ₁₈₂₀₂₈(10) = 1009998990..._<47041> = 176749189 × 2219543127649_<13> × 196455726647500426444801_<24> × [1310494578..._<46997>] (0.09%)

Φ₁₈₂₀₂₉(10) = 1111111111..._<182029> = [1111111111..._<182029>] (0.00%)

Φ₁₈₂₀₃₀(10) = 9091000000..._<71712> = [9091000000..._<71712>] (0.00%)

Φ₁₈₂₀₃₁(10) = 1109999999..._<118681> = 23840600071_<11> × 295015093267_<12> × 27335560684111_<14> × [5773425613..._<118645>] (0.03%)

Φ₁₈₂₀₃₂(10) = 1000000009..._<87841> = 546097 × [1831176530..._<87835>] (0.01%)

Φ₁₈₂₀₃₃(10) = 9000000000..._<175728> = [9000000000..._<175728>] (0.00%)

Φ₁₈₂₀₃₄(10) = 1000000000..._<60661> = 4432990266361_<13> × 14439580734259_<14> × [1562243187..._<60635>] (0.04%)

Φ₁₈₂₀₃₅(10) = 1000000100..._<124657> = [1000000100..._<124657>] (0.00%)

Φ₁₈₂₀₃₆(10) = 1009999999..._<85633> = 173181768961_<12> × 610276236109_<12> × [9556365314..._<85609>] (0.03%)

Φ₁₈₂₀₃₇(10) = 9009009009..._<121356> = 107268578917_<12> × [8398553518..._<121345>] (0.01%)

Φ₁₈₂₀₃₈(10) = 9090909090..._<91018> = 356066329 × [2553150452..._<91010>] (0.01%)

Φ₁₈₂₀₃₉(10) = 9000000000..._<142560> = 364079 × [2471990969..._<142555>] (0.00%)

Φ₁₈₂₀₄₀(10) = 1000099999..._<46081> = 132161041 × 557042401 × [1358475224..._<46064>] (0.04%)

Φ₁₈₂₀₄₁(10) = 1111111111..._<182041> = [1111111111..._<182041>] (0.00%)

Φ₁₈₂₀₄₂(10) = 1099999890..._<78013> = 3742419437_<10> × [2939274735..._<78003>] (0.01%)

Φ₁₈₂₀₄₃(10) = 1001000999..._<119617> = 24563426077_<11> × [4075168491..._<119606>] (0.01%)

Φ₁₈₂₀₄₄(10) = 1009999999..._<89601> = 171294006888721_<15> × [5896295021..._<89586>] (0.02%)

Φ₁₈₂₀₄₅(10) = 1111099999..._<139217> = 49516241 × 611671201 × 54290188081_<11> × 54999435401_<11> × [1228592525..._<139179>] (0.03%)

Φ₁₈₂₀₄₆(10) = 1098901098..._<60681> = 14745727 × 184835126767_<12> × 5001466449487_<13> × [8061401446..._<60649>] (0.05%)

Φ₁₈₂₀₄₇(10) = 1111111111..._<182047> = 30219803 × 42921221191_<11> × [8566310098..._<182028>] (0.01%)

Φ₁₈₂₀₄₈(10) = 9999999999..._<91008> = 3058224353_<10> × 3275043521_<10> × 46656171879437880332801_<23> × [2139954206..._<90967>] (0.05%)

Φ₁₈₂₀₄₉(10) = 1109999889..._<104017> = 4520640769_<10> × 1798423476613_<13> × [1365309068..._<103995>] (0.02%)

Φ₁₈₂₀₅₀(10) = 9999900000..._<66000> = [9999900000..._<66000>] (0.00%)

Φ₁₈₂₀₅₁(10) = 9000000000..._<181152> = 6336467107_<10> × 7975290209_<10> × [1780938117..._<181133>] (0.01%)

Φ₁₈₂₀₅₂(10) = 9999990000..._<55872> = 105660910868761_<15> × [9464228462..._<55858>] (0.03%)

Φ₁₈₂₀₅₃(10) = 9000000000..._<171328> = 32062507317809_<14> × 32879374395431_<14> × [8537318470..._<171301>] (0.02%)

Φ₁₈₂₀₅₄(10) = 1099999999..._<90401> = 1638487 × 2184649 × 62931516451_<11> × [4883147220..._<90377>] (0.03%)

Φ₁₈₂₀₅₅(10) = 9009099100..._<94848> = 8738641 × 23667151 × [4356036242..._<94834>] (0.02%)

Φ₁₈₂₀₅₆(10) = 1000099999..._<78001> = [1000099999..._<78001>] (0.00%)

Φ₁₈₂₀₅₇(10) = 1111111111..._<182057> = 2284087123_<10> × [4864574122..._<182047>] (0.01%)

Φ₁₈₂₀₅₈(10) = 9100000000..._<57456> = 32142058438333_<14> × [2831181461..._<57443>] (0.02%)

Φ₁₈₂₀₅₉(10) = 1111111111..._<182059> = [1111111111..._<182059>] (0.00%)

Φ_182060L(10) = 3576409999..._<36408> = 16452842998228001_<17> × [2173733743..._<36392>] (0.04%)

Φ_182060M(10) = 2824060999..._<36409> = 109837708301_<12> × [2571121560..._<36398>] (0.03%)

Φ₁₈₂₀₆₁(10) = 1000000001..._<110161> = 9467173 × 37868689 × 2080053843319_<13> × [1340987840..._<110134>] (0.02%)

Φ₁₈₂₀₆₂(10) = 9090909090..._<84672> = 238655808480077_<15> × [3809213422..._<84658>] (0.02%)

Φ₁₈₂₀₆₃(10) = 1111110999..._<150841> = [1111110999..._<150841>] (0.00%)

Φ₁₈₂₀₆₄(10) = 1000000009..._<60673> = 2184769 × [4577142983..._<60666>] (0.01%)

Φ₁₈₂₀₆₅(10) = 1111099999..._<134401> = [1111099999..._<134401>] (0.00%)

Φ₁₈₂₀₆₆(10) = 9090909090..._<91032> = 95673498209_<11> × [9502013892..._<91021>] (0.01%)

Φ₁₈₂₀₆₇(10) = 9009009009..._<121376> = 77924677 × [1156117594..._<121369>] (0.01%)

Φ₁₈₂₀₆₈(10) = 1009999999..._<87033> = 26701364609_<11> × [3782578211..._<87022>] (0.01%)

Φ₁₈₂₀₆₉(10) = 9000000000..._<180096> = [9000000000..._<180096>] (0.00%)

Φ₁₈₂₀₇₀(10) = 1000000000..._<39169> = [1000000000..._<39169>] (0.00%)

Φ₁₈₂₀₇₁(10) = 9000000000..._<180792> = 1820711 × [4943123867..._<180786>] (0.00%)

Φ₁₈₂₀₇₂(10) = 1000099999..._<82721> = [1000099999..._<82721>] (0.00%)

Φ₁₈₂₀₇₃(10) = 1109999999..._<120225> = 728293 × 143837671 × [1059605492..._<120211>] (0.01%)

Φ₁₈₂₀₇₄(10) = 1099999999..._<89437> = [1099999999..._<89437>] (0.00%)

Φ₁₈₂₀₇₅(10) = 9999900000..._<145640> = 1205294622751_<13> × [8296643668..._<145628>] (0.01%)

Φ₁₈₂₀₇₆(10) = 1009998990..._<60689> = 5098129 × [1981116974..._<60682>] (0.01%)

Φ₁₈₂₀₇₇(10) = 1000000000..._<143857> = [1000000000..._<143857>] (0.00%)

Φ₁₈₂₀₇₈(10) = 9090909090..._<81696> = [9090909090..._<81696>] (0.00%)

Φ₁₈₂₀₇₉(10) = 9990000009..._<121380> = 728317 × 14930479 × 83766362356477_<14> × [1096734851..._<121354>] (0.02%)

Φ₁₈₂₀₈₀(10) = 1000000000..._<72705> = 482512001 × 15532516481_<11> × [1334289465..._<72686>] (0.03%)

Φ₁₈₂₀₈₁(10) = 9000000000..._<177600> = [9000000000..._<177600>] (0.00%)

Φ₁₈₂₀₈₂(10) = 1098901098..._<60693> = 28878704833009_<14> × [3805229857..._<60679>] (0.02%)

Φ₁₈₂₀₈₃(10) = 9000000000..._<165520> = [9000000000..._<165520>] (0.00%)

Φ₁₈₂₀₈₄(10) = 1000000000..._<77953> = [1000000000..._<77953>] (0.00%)

Φ₁₈₂₀₈₅(10) = 9009099100..._<95040> = [9009099100..._<95040>] (0.00%)

Φ₁₈₂₀₈₆(10) = 1099999999..._<90361> = 513664607 × [2141475166..._<90352>] (0.01%)

Φ₁₈₂₀₈₇(10) = 9000000000..._<171360> = [9000000000..._<171360>] (0.00%)

Φ₁₈₂₀₈₈(10) = 1000000000..._<60481> = 2647559521_<10> × 1943652287737_<13> × [1943281399..._<60459>] (0.04%)

Φ₁₈₂₀₈₉(10) = 1111111111..._<182089> = [1111111111..._<182089>] (0.00%)

Φ₁₈₂₀₉₀(10) = 9091000000..._<71760> = 3641801 × 342754005772961_<15> × [7283043565..._<71739>] (0.03%)

Φ₁₈₂₀₉₁(10) = 1109999888..._<88705> = 8007361043683_<13> × [1386224353..._<88692>] (0.01%)

Φ₁₈₂₀₉₂(10) = 9900990099..._<91044> = [9900990099..._<91044>] (0.00%)

Φ₁₈₂₀₉₃(10) = 9000000000..._<181020> = 364187 × [2471257897..._<181015>] (0.00%)

Φ₁₈₂₀₉₄(10) = 1098901098..._<52801> = [1098901098..._<52801>] (0.00%)

Φ₁₈₂₀₉₅(10) = 1111099999..._<143521> = 16018897151_<11> × 1778518951481_<13> × [3899976923..._<143498>] (0.02%)

Φ₁₈₂₀₉₆(10) = 1000000009..._<86113> = [1000000009..._<86113>] (0.00%)

Φ₁₈₂₀₉₇(10) = 9990000009..._<121392> = 34592666629951_<14> × [2887895320..._<121379>] (0.01%)

Φ₁₈₂₀₉₈(10) = 1099999890..._<78037> = 182099 × 106281735337891_<15> × [5683638455..._<78017>] (0.02%)

Φ₁₈₂₀₉₉(10) = 1111111111..._<182099> = [1111111111..._<182099>] (0.00%)

Φ_182100L(10) = 1010050099..._<24241> = 182101 × [5546647737..._<24235>] (0.02%)

Φ_182100M(10) = 9900498997..._<24240> = 30957001 × 2678144701_<10> × 51370045801_<11> × [2324631998..._<24213>] (0.11%)

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