Factorization of cyclotomic number Phi

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Φ₂₇₃₃₀₁(10) = 9000000900..._<234252> = (9000000900..._<234252>) (0.00%)

Φ₂₇₃₃₀₂(10) = 9090909090..._<136650> = 1739840533_<10> × 1533593905639330397_<19> × [3407120522..._<136623>] (0.02%)

Φ₂₇₃₃₀₃(10) = 9990000009..._<182196> = [9990000009..._<182196>] (0.00%)

Φ₂₇₃₃₀₄(10) = 1000099999..._<135073> = 3552953 × 62174746873_<11> × [4527306933..._<135055>] (0.01%)

Φ₂₇₃₃₀₅(10) = 1111099999..._<213809> = 10385591 × (1069847637..._<213802>) (0.00%)

Φ₂₇₃₃₀₆(10) = 1098901098..._<80001> = 546613 × 88004533 × 19324920649_<11> × 263316456074299_<15> × [4489292347..._<79962>] (0.05%)

Φ₂₇₃₃₀₇(10) = 9000000000..._<272160> = 113943874757_<12> × 63776245844471_<14> × (1238490199..._<272136>) (0.01%)

Φ₂₇₃₃₀₈(10) = 9900990099..._<113904> = [9900990099..._<113904>] (0.00%)

Φ₂₇₃₃₀₉(10) = 9009009009..._<163328> = 1093237 × [8240673348..._<163322>] (0.00%)

Φ₂₇₃₃₁₀(10) = 9091000000..._<108000> = 420994698361_<12> × 423176532091_<12> × [5102857678..._<107977>] (0.02%)

Φ₂₇₃₃₁₁(10) = 1111111111..._<273311> = 13665551 × 27877723 × (2916574301..._<273296>) (0.01%)

Φ₂₇₃₃₁₂(10) = 9999999999..._<82944> = 273313 × 1093249 × [3346729578..._<82933>] (0.01%)

Φ₂₇₃₃₁₃(10) = 1111111111..._<273313> = 1639879 × 3445094047802837249_<19> × (1966729372..._<273288>) (0.01%)

Φ₂₇₃₃₁₄(10) = 9090909090..._<136656> = 819943 × [1108724519..._<136651>] (0.00%)

Φ₂₇₃₃₁₅(10) = 1109988789..._<117505> = 546631 × [2030599781..._<117499>] (0.00%)

Φ₂₇₃₃₁₆(10) = 9900990099..._<136656> = [9900990099..._<136656>] (0.00%)

Φ₂₇₃₃₁₇(10) = 9000000000..._<248460> = 6632310323_<10> × (1356993198..._<248451>) (0.00%)

Φ₂₇₃₃₁₈(10) = 1098901098..._<91105> = [1098901098..._<91105>] (0.00%)

Φ₂₇₃₃₁₉(10) = 1111111111..._<259777> = 378748098590999_<15> × (2933641423..._<259762>) (0.01%)

Φ₂₇₃₃₂₀(10) = 1000099999..._<109313> = 170551681 × 2916367037921_<13> × [2010690574..._<109292>] (0.02%)

Φ₂₇₃₃₂₁(10) = 1000000001..._<177841> = [1000000001..._<177841>] (0.00%)

Φ₂₇₃₃₂₂(10) = 1000000099..._<117097> = 1093289 × [9146713266..._<117090>] (0.01%)

Φ₂₇₃₃₂₃(10) = 1111111111..._<273323> = 35973679969_<11> × 24857508376067_<14> × (1242553306..._<273299>) (0.01%)

Φ₂₇₃₃₂₄(10) = 1009998990..._<91105> = [1009998990..._<91105>] (0.00%)

Φ₂₇₃₃₂₅(10) = 1000000000..._<194881> = [1000000000..._<194881>] (0.00%)

Φ₂₇₃₃₂₆(10) = 1099999999..._<128609> = [1099999999..._<128609>] (0.00%)

Φ₂₇₃₃₂₇(10) = 1109999999..._<176281> = 206088559 × [5386034068..._<176272>] (0.00%)

Φ₂₇₃₃₂₈(10) = 1000000009..._<124161> = [1000000009..._<124161>] (0.00%)

Φ₂₇₃₃₂₉(10) = 9000000900..._<234276> = 5772737999533_<13> × (1559052377..._<234264>) (0.01%)

Φ₂₇₃₃₃₀(10) = 9990010000..._<72864> = 18586441 × [5374891298..._<72857>] (0.01%)

Φ₂₇₃₃₃₁(10) = 9000000000..._<272272> = 1639987 × 3279973 × 15853199 × (1055394736..._<272253>) (0.01%)

Φ₂₇₃₃₃₂(10) = 1009999999..._<130681> = 557244408389_<12> × 600837035741_<12> × [3016608563..._<130657>] (0.02%)

Φ₂₇₃₃₃₃(10) = 1109999999..._<180849> = [1109999999..._<180849>] (0.00%)

Φ₂₇₃₃₃₄(10) = 1099999999..._<129457> = 83913539 × [1310873088..._<129449>] (0.01%)

Φ₂₇₃₃₃₅(10) = 9000090000..._<218664> = 546671 × 37720231 × (4364620345..._<218651>) (0.01%)

Φ₂₇₃₃₃₆(10) = 9999000100..._<78048> = 2186689 × 2174724083281_<13> × [2102642258..._<78030>] (0.02%)

Φ₂₇₃₃₃₇(10) = 9000000000..._<271440> = (9000000000..._<271440>) (0.00%)

Φ₂₇₃₃₃₈(10) = 1099999999..._<126145> = [1099999999..._<126145>] (0.00%)

Φ₂₇₃₃₃₉(10) = 1000000000..._<165001> = 15394999159_<11> × [6495615814..._<164990>] (0.01%)

Φ_273340L(10) = 3541000000..._<53664> = [3541000000..._<53664>] (0.00%)

Φ_273340M(10) = 2796099999..._<53665> = 2993346341_<10> × 35020215444543716264201_<23> × [2667331026..._<53633>] (0.06%)

Φ₂₇₃₃₄₁(10) = 9000000000..._<268800> = 546683 × (1646292275..._<268795>) (0.00%)

Φ₂₇₃₃₄₂(10) = 1098901098..._<91113> = 359444731 × [3057218548..._<91104>] (0.01%)

Φ₂₇₃₃₄₃(10) = 1111110999..._<220417> = 1368048913841_<13> × (8121866029..._<220404>) (0.01%)

Φ₂₇₃₃₄₄(10) = 9999999999..._<136640> = [9999999999..._<136640>] (0.00%)

Φ₂₇₃₃₄₅(10) = 1109988900..._<145777> = 1640071 × 6013591 × 19680841 × 631820437781161_<15> × [9050754320..._<145741>] (0.02%)

Φ₂₇₃₃₄₆(10) = 1099999999..._<135169> = 2441253127_<10> × 2531432158169_<13> × [1779973676..._<135147>] (0.02%)

Φ₂₇₃₃₄₇(10) = 1111111111..._<259841> = (1111111111..._<259841>) (0.00%)

Φ₂₇₃₃₄₈(10) = 1000000000..._<91081> = 4904136469_<10> × 270504045039061_<15> × [7538131152..._<91056>] (0.03%)

Φ₂₇₃₃₄₉(10) = 1111111111..._<273349> = 73804231 × 323098519 × (4659520896..._<273332>) (0.01%)

Φ₂₇₃₃₅₀(10) = 1000009999..._<84001> = [1000009999..._<84001>] (0.00%)

Φ₂₇₃₃₅₁(10) = 9009009009..._<163296> = 1066607401471_<13> × [8446415238..._<163284>] (0.01%)

Φ₂₇₃₃₅₂(10) = 1000099999..._<133585> = 1093409 × [9146623084..._<133578>] (0.00%)

Φ₂₇₃₃₅₃(10) = 9000000000..._<258948> = (9000000000..._<258948>) (0.00%)

Φ₂₇₃₃₅₄(10) = 9100000000..._<87920> = 55490863 × 2594676169_<10> × [6320286279..._<87903>] (0.02%)

Φ₂₇₃₃₅₅(10) = 1111099999..._<209089> = 53986923645401_<14> × (2058090969..._<209075>) (0.01%)

Φ₂₇₃₃₅₆(10) = 1009999999..._<132913> = [1009999999..._<132913>] (0.00%)

Φ₂₇₃₃₅₇(10) = 1001000999..._<156169> = 19298530198963_<14> × [5186928691..._<156155>] (0.01%)

Φ₂₇₃₃₅₈(10) = 1099999999..._<132241> = 3934988411_<10> × [2795433899..._<132231>] (0.01%)

Φ₂₇₃₃₅₉(10) = 1111111111..._<273359> = 546719 × 228747357919_<12> × 25234896385787107_<17> × (3520754240..._<273325>) (0.01%)

Φ₂₇₃₃₆₀(10) = 1000000009..._<67585> = [1000000009..._<67585>] (0.00%)

Φ₂₇₃₃₆₁(10) = 9000000000..._<248500> = (9000000000..._<248500>) (0.00%)

Φ₂₇₃₃₆₂(10) = 1099999999..._<135253> = 1163937945407_<13> × [9450675651..._<135240>] (0.01%)

Φ₂₇₃₃₆₃(10) = 9009009009..._<182240> = 1042059757_<10> × 10322186881_<11> × [8375537342..._<182221>] (0.01%)

Φ₂₇₃₃₆₄(10) = 9900990099..._<108000> = [9900990099..._<108000>] (0.00%)

Φ₂₇₃₃₆₅(10) = 9000090000..._<218688> = 34983612511_<11> × (2572658840..._<218678>) (0.00%)

Φ₂₇₃₃₆₆(10) = 1000999998..._<91117> = 273367 × 16108364917_<11> × [2273194155..._<91101>] (0.02%)

Φ₂₇₃₃₆₇(10) = 1111111111..._<273367> = (1111111111..._<273367>) (0.00%)

Φ₂₇₃₃₆₈(10) = 9999000099..._<136680> = 3082497569_<10> × [3243798211..._<136671>] (0.01%)

Φ₂₇₃₃₆₉(10) = 1109999999..._<181041> = [1109999999..._<181041>] (0.00%)

Φ₂₇₃₃₇₀(10) = 1099989000..._<109345> = 22142971 × [4967666715..._<109337>] (0.01%)

Φ₂₇₃₃₇₁(10) = 9999999999..._<234024> = 1059585997_<10> × 4497499693_<10> × (2098421113..._<234006>) (0.01%)

Φ₂₇₃₃₇₂(10) = 1009998990..._<77761> = [1009998990..._<77761>] (0.00%)

Φ₂₇₃₃₇₃(10) = 9000000000..._<272320> = 1093493 × 87009705187_<11> × (9459295769..._<272303>) (0.01%)

Φ₂₇₃₃₇₄(10) = 1099999999..._<134057> = 2273579113891_<13> × [4838186598..._<134044>] (0.01%)

Φ₂₇₃₃₇₅(10) = 9999999999..._<145800> = 11126808648001_<14> × [8987302933..._<145787>] (0.01%)

Φ₂₇₃₃₇₆(10) = 9999999999..._<136672> = [9999999999..._<136672>] (0.00%)

Φ₂₇₃₃₇₇(10) = 1111111111..._<237313> = 8201311 × (1354796947..._<237306>) (0.00%)

Φ₂₇₃₃₇₈(10) = 1098900989..._<74449> = 4303241457733_<13> × [2553658677..._<74436>] (0.02%)

Φ₂₇₃₃₇₉(10) = 9000000000..._<271576> = 761313493813_<12> × (1182167408..._<271565>) (0.00%)

Φ_273380L(10) = 3576409999..._<54672> = 6287741 × [5687909218..._<54665>] (0.01%)

Φ_273380M(10) = 2824060999..._<54673> = 558241961 × 588040381 × 26243290523621_<14> × [3278129884..._<54642>] (0.06%)

Φ₂₇₃₃₈₁(10) = 9009009009..._<182252> = [9009009009..._<182252>] (0.00%)

Φ₂₇₃₃₈₂(10) = 9090909090..._<136690> = [9090909090..._<136690>] (0.00%)

Φ₂₇₃₃₈₃(10) = 1111111111..._<239681> = (1111111111..._<239681>) (0.00%)

Φ₂₇₃₃₈₄(10) = 1000000000..._<91105> = 5774285350297_<13> × [1731816041..._<91092>] (0.01%)

Φ₂₇₃₃₈₅(10) = 9000090900..._<183168> = 4280828001311_<13> × 7937750424871_<13> × [2648632338..._<183143>] (0.01%)

Φ₂₇₃₃₈₆(10) = 9090909090..._<136692> = 485555866168481_<15> × 128540152006430053_<18> × [1456563089..._<136661>] (0.02%)

Φ₂₇₃₃₈₇(10) = 9009009009..._<182256> = [9009009009..._<182256>] (0.00%)

Φ₂₇₃₃₈₈(10) = 1009999999..._<133281> = 492098401 × 943461989 × 1652381950309_<13> × [1316541549..._<133251>] (0.02%)

Φ₂₇₃₃₈₉(10) = 9000000000..._<264540> = 31166347 × (2887730153..._<264533>) (0.00%)

Φ₂₇₃₃₉₀(10) = 1098890109..._<67201> = 38001211 × [2891723924..._<67193>] (0.01%)

Φ₂₇₃₃₉₁(10) = 9000000000..._<258984> = (9000000000..._<258984>) (0.00%)

Φ₂₇₃₃₉₂(10) = 1000000009..._<117121> = 820177 × [1219249027..._<117115>] (0.01%)

Φ₂₇₃₃₉₃(10) = 1001000999..._<177121> = [1001000999..._<177121>] (0.00%)

Φ₂₇₃₃₉₄(10) = 9999999999..._<114240> = 10935761 × 119746573 × [7636386417..._<114225>] (0.01%)

Φ₂₇₃₃₉₅(10) = 9000090000..._<218712> = 2187161 × (4114964559..._<218706>) (0.00%)

Φ₂₇₃₃₉₆(10) = 1009998990..._<91129> = 227738869 × 1818903589_<10> × 211330040605141_<15> × [1153753053..._<91097>] (0.04%)

Φ₂₇₃₃₉₇(10) = 9000000000..._<271180> = (9000000000..._<271180>) (0.00%)

Φ₂₇₃₃₉₈(10) = 1099999999..._<135865> = [1099999999..._<135865>] (0.00%)

Φ₂₇₃₃₉₉(10) = 9009009909..._<152352> = [9009009909..._<152352>] (0.00%)

Φ₂₇₃₄₀₀(10) = 1000000000..._<109281> = [1000000000..._<109281>] (0.00%)

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