Factorization of cyclotomic number Phi

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Φ₂₂₀₅₀₁(10) = 9000000000..._<210892> = 8820041 × [1020403419..._<210886>] (0.00%)

Φ₂₂₀₅₀₂(10) = 9090909090..._<110250> = [9090909090..._<110250>] (0.00%)

Φ₂₂₀₅₀₃(10) = 1109999999..._<142201> = [1109999999..._<142201>] (0.00%)

Φ₂₂₀₅₀₄(10) = 1000099999..._<107521> = 661513 × [1511837257..._<107515>] (0.01%)

Φ₂₂₀₅₀₅(10) = 9000090000..._<176400> = [9000090000..._<176400>] (0.00%)

Φ₂₂₀₅₀₆(10) = 1098901098..._<61441> = 17089656013_<11> × [6430211925..._<61430>] (0.02%)

Φ₂₂₀₅₀₇(10) = 1000000000..._<176257> = 1323043 × 270782597 × [2791292132..._<176242>] (0.01%)

Φ₂₂₀₅₀₈(10) = 9900990099..._<110252> = [9900990099..._<110252>] (0.00%)

Φ₂₂₀₅₀₉(10) = 9999999990..._<146988> = 9702397 × 26461081 × [3895053043..._<146974>] (0.01%)

Φ₂₂₀₅₁₀(10) = 1099989000..._<88201> = 1683814361_<10> × [6532721335..._<88191>] (0.01%)

Φ₂₂₀₅₁₁(10) = 1111111111..._<220511> = 242121079 × [4589072193..._<220502>] (0.00%)

Φ₂₂₀₅₁₂(10) = 1000000000..._<73473> = 220513 × 56945401027297_<14> × [7963557983..._<73453>] (0.03%)

Φ₂₂₀₅₁₃(10) = 1111111111..._<220513> = 1323079 × [8397919633..._<220506>] (0.00%)

Φ₂₂₀₅₁₄(10) = 9090910000..._<89424> = 1102571 × 48017805557_<11> × [1717111450..._<89408>] (0.02%)

Φ₂₂₀₅₁₅(10) = 9009099100..._<115200> = 3358939167721_<13> × [2682126305..._<115188>] (0.01%)

Φ₂₂₀₅₁₆(10) = 1009999999..._<106401> = 2197000909_<10> × 222055201681_<12> × [2070285241..._<106380>] (0.02%)

Φ₂₂₀₅₁₇(10) = 9000000000..._<200460> = [9000000000..._<200460>] (0.00%)

Φ₂₂₀₅₁₈(10) = 1000999998..._<73501> = 2425699 × 434283738841_<12> × [9502187587..._<73482>] (0.02%)

Φ₂₂₀₅₁₉(10) = 9000000000..._<203544> = 10628574763_<11> × 46506133987_<11> × [1820779014..._<203524>] (0.01%)

Φ₂₂₀₅₂₀(10) = 9999000099..._<85248> = 441041 × 166713121 × 19976906801_<11> × 32894536621841_<14> × [2069454156..._<85211>] (0.04%)

Φ₂₂₀₅₂₁(10) = 1109999889..._<126001> = 441043 × 54015736867_<11> × [4659310968..._<125984>] (0.01%)

Φ₂₂₀₅₂₂(10) = 9090909090..._<110260> = 50499539 × [1800196451..._<110253>] (0.01%)

Φ₂₂₀₅₂₃(10) = 9000000000..._<218280> = 3087323 × 8065849249_<10> × [3614184677..._<218264>] (0.01%)

Φ₂₂₀₅₂₄(10) = 1009998990..._<64769> = 159189853279549_<15> × [6344619139..._<64754>] (0.02%)

Φ₂₂₀₅₂₅(10) = 9999900000..._<176400> = 464326413751_<12> × [2153635826..._<176389>] (0.01%)

Φ₂₂₀₅₂₆(10) = 1099999999..._<108641> = 441053 × 4490129887_<10> × 71352608810597_<14> × 122474257207373_<15> × [6356065000..._<108597>] (0.04%)

Φ₂₂₀₅₂₇(10) = 1001000999..._<145009> = 253733422866769_<15> × 516512481761827_<15> × [7637935952..._<144979>] (0.02%)

Φ₂₂₀₅₂₈(10) = 9999999900..._<85440> = 260002513 × [3846116633..._<85432>] (0.01%)

Φ₂₂₀₅₂₉(10) = 1111111111..._<220529> = [1111111111..._<220529>] (0.00%)

Φ₂₂₀₅₃₀(10) = 9100090999..._<58800> = [9100090999..._<58800>] (0.00%)

Φ₂₂₀₅₃₁(10) = 9000000000..._<217792> = 1323187 × 2030292628843_<13> × 3350137607..._<217774> (100.00%)

Φ₂₂₀₅₃₂(10) = 1009999999..._<101761> = 2213633835869_<13> × [4562633546..._<101748>] (0.01%)

Φ₂₂₀₅₃₃(10) = 9009009009..._<134784> = 25429669051321_<14> × [3542715790..._<134771>] (0.01%)

Φ₂₂₀₅₃₄(10) = 1099999999..._<106681> = 634035251 × 6780758899_<10> × [2558591649..._<106662>] (0.02%)

Φ₂₂₀₅₃₅(10) = 1111099888..._<151201> = 196276151 × 279924193361_<12> × [2022297923..._<151181>] (0.01%)

Φ₂₂₀₅₃₆(10) = 1000000000..._<73441> = 220537 × [4534386520..._<73435>] (0.01%)

Φ₂₂₀₅₃₇(10) = 1111111111..._<220537> = 10156610999_<11> × 29046046123_<11> × 3627152190671_<13> × [1038378937..._<220504>] (0.01%)

Φ₂₂₀₅₃₈(10) = 9090909090..._<110268> = [9090909090..._<110268>] (0.00%)

Φ₂₂₀₅₃₉(10) = 9009009009..._<129600> = 441079 × 26905759 × 29014110841_<11> × [2616411963..._<129577>] (0.02%)

Φ_220540L(10) = 2824060999..._<44105> = 3375039848850536561_<19> × 9318490570300043681_<19> × [8979447141..._<44067>] (0.09%)

Φ_220540M(10) = 3576409999..._<44104> = [3576409999..._<44104>] (0.00%)

Φ₂₂₀₅₄₁(10) = 9000000000..._<207552> = 17948696644933_<14> × 993031166177107_<15> × [5049480657..._<207524>] (0.01%)

Φ₂₂₀₅₄₂(10) = 1098900989..._<61249> = 28390746360859_<14> × [3870630856..._<61235>] (0.02%)

Φ₂₂₀₅₄₃(10) = 1111111111..._<220543> = 4851947 × 10992465643477_<14> × [2083273672..._<220523>] (0.01%)

Φ₂₂₀₅₄₄(10) = 9999999999..._<110208> = [9999999999..._<110208>] (0.00%)

Φ₂₂₀₅₄₅(10) = 9999999999..._<104832> = 17202511 × 142254612631_<12> × [4086408683..._<104814>] (0.02%)

Φ₂₂₀₅₄₆(10) = 9090909090..._<110272> = 23377877 × [3888680349..._<110265>] (0.01%)

Φ₂₂₀₅₄₇(10) = 1111111111..._<205129> = 3080460669203_<13> × [3606964121..._<205116>] (0.01%)

Φ₂₂₀₅₄₈(10) = 1009998990..._<73513> = 77093443531729_<14> × [1310097128..._<73499>] (0.02%)

Φ₂₂₀₅₄₉(10) = 9999999999..._<188748> = 59548231 × 183496769 × [9151719782..._<188732>] (0.01%)

Φ₂₂₀₅₅₀(10) = 9999900000..._<80000> = 4521681473651_<13> × [2211544545..._<79988>] (0.02%)

Φ₂₂₀₅₅₁(10) = 9009009009..._<147032> = 1829395116559_<13> × [4924583501..._<147020>] (0.01%)

Φ₂₂₀₅₅₂(10) = 1000099999..._<104401> = 220553 × 2205521 × 36918419833_<11> × [5568986386..._<104378>] (0.02%)

Φ₂₂₀₅₅₃(10) = 1111111111..._<220553> = 441107 × 1323319 × [1903482957..._<220541>] (0.01%)

Φ₂₂₀₅₅₄(10) = 1000999998..._<73513> = 97470311437_<11> × [1026979378..._<73502>] (0.01%)

Φ₂₂₀₅₅₅(10) = 9000090000..._<176440> = [9000090000..._<176440>] (0.00%)

Φ₂₂₀₅₅₆(10) = 1009999999..._<94513> = 39733163401_<11> × 96634895474321_<14> × [2630475427..._<94488>] (0.03%)

Φ₂₂₀₅₅₇(10) = 1109999999..._<142993> = 5293369 × [2096963200..._<142986>] (0.00%)

Φ₂₂₀₅₅₈(10) = 9090909090..._<95616> = [9090909090..._<95616>] (0.00%)

Φ₂₂₀₅₅₉(10) = 1111111111..._<220559> = [1111111111..._<220559>] (0.00%)

Φ₂₂₀₅₆₀(10) = 9999999900..._<58752> = 340103521 × 163131910561_<12> × 1415610984481_<13> × [1273227531..._<58721>] (0.05%)

Φ₂₂₀₅₆₁(10) = 9000000000..._<200500> = [9000000000..._<200500>] (0.00%)

Φ₂₂₀₅₆₂(10) = 9090909090..._<110280> = 27790813 × 30437557 × [1074722326..._<110266>] (0.01%)

Φ₂₂₀₅₆₃(10) = 1000000000..._<125713> = [1000000000..._<125713>] (0.00%)

Φ₂₂₀₅₆₄(10) = 1009999999..._<108505> = 2691983621_<10> × [3751880182..._<108495>] (0.01%)

Φ₂₂₀₅₆₅(10) = 1111099999..._<170641> = 18968591 × 22938761 × 756979081 × [3373372037..._<170617>] (0.01%)

Φ₂₂₀₅₆₆(10) = 1098901098..._<73521> = 1306191853_<10> × [8413014492..._<73511>] (0.01%)

Φ₂₂₀₅₆₇(10) = 9000000000..._<219600> = 5524726925281_<13> × [1629039791..._<219588>] (0.01%)

Φ₂₂₀₅₆₈(10) = 1000099999..._<108577> = 1323409 × [7556998630..._<108570>] (0.01%)

Φ₂₂₀₅₆₉(10) = 9009009009..._<147044> = 9705037 × [9282817787..._<147037>] (0.00%)

Φ₂₂₀₅₇₀(10) = 1099988890..._<71809> = 295527626521_<12> × [3722118649..._<71797>] (0.02%)

Φ₂₂₀₅₇₁(10) = 1000000000..._<188785> = 108520933 × 144989699999_<12> × [6355494245..._<188765>] (0.01%)

Φ₂₂₀₅₇₂(10) = 9999990000..._<66720> = 20391677150329_<14> × [4903956612..._<66707>] (0.02%)

Φ₂₂₀₅₇₃(10) = 1111111111..._<220573> = 9264067 × [1199377240..._<220566>] (0.00%)

Φ₂₂₀₅₇₄(10) = 1099999999..._<106457> = [1099999999..._<106457>] (0.00%)

Φ₂₂₀₅₇₅(10) = 9999900000..._<110080> = 172726547551_<12> × [5789440095..._<110069>] (0.01%)

Φ₂₂₀₅₇₆(10) = 1000000000..._<107521> = 345642593 × [2893161954..._<107512>] (0.01%)

Φ₂₂₀₅₇₇(10) = 9000000900..._<189060> = 236282082401_<12> × 2002695784951_<13> × 74481508568209_<14> × 258708213045409_<15> × [9870476043..._<189008>] (0.03%)

Φ₂₂₀₅₇₈(10) = 9100000000..._<72576> = 220579 × 3529249 × [1168947290..._<72565>] (0.02%)

Φ₂₂₀₅₇₉(10) = 1111111111..._<220579> = 258077431 × 1050369696210281_<16> × [4098880717..._<220555>] (0.01%)

Φ_220580L(10) = 2796099999..._<42881> = [2796099999..._<42881>] (0.00%)

Φ_220580M(10) = 3541000000..._<42880> = 79422034801_<11> × [4458460437..._<42869>] (0.03%)

Φ₂₂₀₅₈₁(10) = 9990000009..._<147048> = [9990000009..._<147048>] (0.00%)

Φ₂₂₀₅₈₂(10) = 9090909090..._<110290> = 21837619 × 76962383293_<11> × [5409081463..._<110272>] (0.02%)

Φ₂₂₀₅₈₃(10) = 9999999999..._<200420> = 99262351 × [1007431306..._<200413>] (0.00%)

Φ₂₂₀₅₈₄(10) = 1000099999..._<57601> = 9013503409_<10> × 749932439257_<12> × 8645198494297_<13> × [1711404583..._<57566>] (0.06%)

Φ₂₂₀₅₈₅(10) = 1111099999..._<174721> = [1111099999..._<174721>] (0.00%)

Φ₂₂₀₅₈₆(10) = 1099999999..._<108161> = [1099999999..._<108161>] (0.00%)

Φ₂₂₀₅₈₇(10) = 9009009009..._<147056> = 29216748151_<11> × [3083508459..._<147046>] (0.01%)

Φ₂₂₀₅₈₈(10) = 9900990099..._<110292> = 220589 × [4488433284..._<110287>] (0.00%)

Φ₂₂₀₅₈₉(10) = 1111111111..._<220589> = 67941413 × 224507542997_<12> × 433845254277255893_<18> × [1679024864..._<220552>] (0.02%)

Φ₂₂₀₅₉₀(10) = 1000000000..._<54433> = 1544131 × 103222664011_<12> × [6273946270..._<54415>] (0.03%)

Φ₂₂₀₅₉₁(10) = 9000000900..._<189072> = 2972684317_<10> × [3027566986..._<189063>] (0.01%)

Φ₂₂₀₅₉₂(10) = 1000000009..._<103681> = 661777 × 95075153 × [1589356425..._<103667>] (0.01%)

Φ₂₂₀₅₉₃(10) = 1000000000..._<139657> = 441187 × [2266612570..._<139651>] (0.00%)

Φ₂₂₀₅₉₄(10) = 9090909091..._<97200> = [9090909091..._<97200>] (0.00%)

Φ₂₂₀₅₉₅(10) = 9000090000..._<176472> = 441191 × 929451884671_<12> × [2194791630..._<176455>] (0.01%)

Φ₂₂₀₅₉₆(10) = 9901000000..._<71040> = 895178569 × 2253388141_<10> × [4908325771..._<71022>] (0.03%)

Φ₂₂₀₅₉₇(10) = 1111111111..._<199921> = [1111111111..._<199921>] (0.00%)

Φ₂₂₀₅₉₈(10) = 1000000099..._<94501> = 2426579 × [4121028410..._<94494>] (0.01%)

Φ₂₂₀₅₉₉(10) = 1001000999..._<145153> = 3088387 × [3241177352..._<145146>] (0.00%)

Φ₂₂₀₆₀₀(10) = 1000000000..._<88161> = 59120801 × [1691452049..._<88153>] (0.01%)

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