Factorization of cyclotomic number Phi

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Φ₁₂₁₃₀₁(10) = 9000000000..._<120000> = 242603 × 38573719 × [9617336903..._<119987>] (0.01%)

Φ₁₂₁₃₀₂(10) = 9990010000..._<38544> = 4213779137892386010703_<22> × [2370795827..._<38523>] (0.06%)

Φ₁₂₁₃₀₃(10) = 9000000900..._<90720> = 14556361 × 281422961 × [2197000759..._<90705>] (0.02%)

Φ₁₂₁₃₀₄(10) = 1000099999..._<59393> = [1000099999..._<59393>] (0.00%)

Φ₁₂₁₃₀₅(10) = 1109988900..._<64689> = 970441 × [1143798438..._<64683>] (0.01%)

Φ₁₂₁₃₀₆(10) = 1099999999..._<60061> = [1099999999..._<60061>] (0.00%)

Φ₁₂₁₃₀₇(10) = 1111111111..._<113345> = 727843 × [1526580747..._<113339>] (0.01%)

Φ₁₂₁₃₀₈(10) = 9901000000..._<36720> = 121309 × 62645441234008637269_<20> × [1302856444..._<36696>] (0.07%)

Φ₁₂₁₃₀₉(10) = 1111111111..._<121309> = 10189957 × 21703139411573_<14> × 6156589819751507_<16> × 450023365441716203_<18> × [1813373630..._<121255>] (0.04%)

Φ₁₂₁₃₁₀(10) = 9091000909..._<41568> = 413900391261001_<15> × [2196422400..._<41554>] (0.04%)

Φ₁₂₁₃₁₁(10) = 9999999990..._<80856> = [9999999990..._<80856>] (0.00%)

Φ₁₂₁₃₁₂(10) = 1000000000..._<56833> = 121313 × 132160932161_<12> × [6237198476..._<56816>] (0.03%)

Φ₁₂₁₃₁₃(10) = 1111111111..._<121313> = 1455757 × [7632531467..._<121306>] (0.01%)

Φ₁₂₁₃₁₄(10) = 1098901098..._<40437> = 4124677 × 9863379572131_<13> × 11134244655379_<14> × [2425951735..._<40404>] (0.08%)

Φ₁₂₁₃₁₅(10) = 1111099999..._<91873> = 387335745151_<12> × [2868570778..._<91861>] (0.01%)

Φ₁₂₁₃₁₆(10) = 1009999999..._<55969> = 363949 × [2775114095..._<55963>] (0.01%)

Φ₁₂₁₃₁₇(10) = 9009009909..._<67392> = 5056492561_<10> × [1781671742..._<67383>] (0.01%)

Φ₁₂₁₃₁₈(10) = 9090909090..._<60658> = 150135877721_<12> × [6055121020..._<60647>] (0.02%)

Φ₁₂₁₃₁₉(10) = 1111111111..._<107201> = 242639 × 67696003 × [6764471259..._<107187>] (0.01%)

Φ₁₂₁₃₂₀(10) = 9999999999..._<32256> = 29352625940881_<14> × 2137964085879121_<16> × [1593502078..._<32228>] (0.09%)

Φ₁₂₁₃₂₁(10) = 1111111111..._<121321> = 5823409 × [1908008026..._<121314>] (0.01%)

Φ₁₂₁₃₂₂(10) = 9090909090..._<60660> = 363967 × 727933 × 693773305613_<12> × 6176043330943_<13> × [8008035283..._<60624>] (0.06%)

Φ₁₂₁₃₂₃(10) = 1109999999..._<78625> = 15044053 × [7378330826..._<78617>] (0.01%)

Φ₁₂₁₃₂₄(10) = 1000000000..._<51913> = 21296001721_<11> × 2359016576561_<13> × 3145697642939209_<16> × 581630792235480961_<18> × [1087944063..._<51857>] (0.11%)

Φ₁₂₁₃₂₅(10) = 1000010000..._<92401> = 880091551 × [1136256789..._<92392>] (0.01%)

Φ₁₂₁₃₂₆(10) = 9100000000..._<39744> = [9100000000..._<39744>] (0.00%)

Φ₁₂₁₃₂₇(10) = 1111111111..._<121327> = [1111111111..._<121327>] (0.00%)

Φ₁₂₁₃₂₈(10) = 9999999900..._<60656> = [9999999900..._<60656>] (0.00%)

Φ₁₂₁₃₂₉(10) = 9990000009..._<69120> = [9990000009..._<69120>] (0.00%)

Φ₁₂₁₃₃₀(10) = 9091000000..._<44080> = 268298158460971_<15> × [3388394483..._<44066>] (0.03%)

Φ₁₂₁₃₃₁(10) = 9000000900..._<103992> = [9000000900..._<103992>] (0.00%)

Φ₁₂₁₃₃₂(10) = 1009998990..._<40441> = 120496507849_<12> × 1143160377661_<13> × [7332284633..._<40417>] (0.06%)

Φ₁₂₁₃₃₃(10) = 1111111111..._<121333> = 8493311 × 1344612307_<10> × [9729340026..._<121316>] (0.01%)

Φ₁₂₁₃₃₄(10) = 9090909090..._<55080> = 230291933 × 12038368951111583_<17> × [3279147410..._<55056>] (0.04%)

Φ₁₂₁₃₃₅(10) = 1109988900..._<64705> = 6774375721_<10> × 1494691163191_<13> × 796831640312551_<15> × [1375724014..._<64668>] (0.06%)

Φ₁₂₁₃₃₆(10) = 1000099999..._<58465> = 2048615318200533281_<19> × [4881834042..._<58446>] (0.03%)

Φ₁₂₁₃₃₇(10) = 9000000000..._<119460> = 2184067 × [4120752705..._<119454>] (0.01%)

Φ₁₂₁₃₃₈(10) = 9999999999..._<34344> = [9999999999..._<34344>] (0.00%)

Φ₁₂₁₃₃₉(10) = 9000000000..._<119560> = 320820317 × 3202378889_<10> × [8760077164..._<119542>] (0.02%)

Φ_121340L(10) = 2824060999..._<24265> = 8251121 × [3422639178..._<24258>] (0.03%)

Φ_121340M(10) = 3576409999..._<24264> = 5702981 × 20026722895601_<14> × 2321174699725487101_<19> × 17768301917232889811681_<23> × [7592446386..._<24203>] (0.25%)

Φ₁₂₁₃₄₁(10) = 1109999999..._<73521> = [1109999999..._<73521>] (0.00%)

Φ₁₂₁₃₄₂(10) = 1000000000..._<55849> = 121343 × 92180213677183321_<17> × [8940206733..._<55826>] (0.04%)

Φ₁₂₁₃₄₃(10) = 1111111111..._<121343> = [1111111111..._<121343>] (0.00%)

Φ₁₂₁₃₄₄(10) = 1000000000..._<39937> = [1000000000..._<39937>] (0.00%)

Φ₁₂₁₃₄₅(10) = 1111099888..._<83185> = [1111099888..._<83185>] (0.00%)

Φ₁₂₁₃₄₆(10) = 9090909090..._<55104> = [9090909090..._<55104>] (0.00%)

Φ₁₂₁₃₄₇(10) = 1001000999..._<79489> = 58003867 × [1725748733..._<79481>] (0.01%)

Φ₁₂₁₃₄₈(10) = 1009999999..._<57993> = 121349 × 42230559893122643501_<20> × [1970871605..._<57968>] (0.04%)

Φ₁₂₁₃₄₉(10) = 1111111111..._<121349> = 8979827 × [1237341333..._<121342>] (0.01%)

Φ₁₂₁₃₅₀(10) = 9999900001..._<32320> = 463557001 × 3572058601_<10> × [6039123868..._<32302>] (0.06%)

Φ₁₂₁₃₅₁(10) = 1111111111..._<121351> = 79578215424431_<14> × [1396250349..._<121337>] (0.01%)

Φ₁₂₁₃₅₂(10) = 9999000099..._<47040> = [9999000099..._<47040>] (0.00%)

Φ₁₂₁₃₅₃(10) = 1109999999..._<76609> = 7890807717271_<13> × 100029823120237_<15> × [1406280702..._<76582>] (0.04%)

Φ₁₂₁₃₅₄(10) = 1099999999..._<59341> = 6553117 × 14388455815567_<14> × [1166623111..._<59321>] (0.03%)

Φ₁₂₁₃₅₅(10) = 1111099999..._<89569> = [1111099999..._<89569>] (0.00%)

Φ₁₂₁₃₅₆(10) = 1000000999..._<40441> = 15285394981_<11> × [6542199277..._<40430>] (0.03%)

Φ₁₂₁₃₅₇(10) = 1111111111..._<121357> = 56795077 × 29521386410719921_<17> × 112376238797064293_<18> × [5897060131..._<121315>] (0.03%)

Φ₁₂₁₃₅₈(10) = 9090909090..._<60678> = [9090909090..._<60678>] (0.00%)

Φ₁₂₁₃₅₉(10) = 1109999889..._<69337> = 30013409338333_<14> × 42827125566877_<14> × [8635523635..._<69309>] (0.04%)

Φ₁₂₁₃₆₀(10) = 9999999900..._<46080> = 24757441 × 763839841 × 2097283568161_<13> × 80583310579887041_<17> × [3128885540..._<46035>] (0.10%)

Φ₁₂₁₃₆₁(10) = 9000000000..._<120432> = 88350809 × 117962893 × [8635481616..._<120416>] (0.01%)

Φ₁₂₁₃₆₂(10) = 9100000000..._<39872> = [9100000000..._<39872>] (0.00%)

Φ₁₂₁₃₆₃(10) = 1000000000..._<102081> = 3205847335681_<13> × [3119300126..._<102068>] (0.01%)

Φ₁₂₁₃₆₄(10) = 9900990099..._<60680> = 242729 × [4079030564..._<60675>] (0.01%)

Φ₁₂₁₃₆₅(10) = 9999999990..._<60480> = [9999999990..._<60480>] (0.00%)

Φ₁₂₁₃₆₆(10) = 1099999890..._<52009> = 121367 × 530926247209_<12> × [1707095544..._<51992>] (0.03%)

Φ₁₂₁₃₆₇(10) = 1111111111..._<121367> = 8775805037_<10> × [1266107333..._<121357>] (0.01%)

Φ₁₂₁₃₆₈(10) = 9999000100..._<37248> = 4490617 × 64203673 × 1525595761_<10> × [2273270986..._<37225>] (0.06%)

Φ₁₂₁₃₆₉(10) = 1111111111..._<121369> = 1227526067_<10> × [9051629460..._<121359>] (0.01%)

Φ₁₂₁₃₇₀(10) = 9091000000..._<47424> = 4976171 × [1826906671..._<47418>] (0.01%)

Φ₁₂₁₃₇₁(10) = 1109999999..._<77353> = [1109999999..._<77353>] (0.00%)

Φ₁₂₁₃₇₂(10) = 1009999999..._<57457> = 24247694005132582163701_<23> × [4165344546..._<57434>] (0.04%)

Φ₁₂₁₃₇₃(10) = 9999999000..._<103992> = 108220811674281085428769_<24> × [9240365919..._<103969>] (0.02%)

Φ₁₂₁₃₇₄(10) = 9990010000..._<36720> = [9990010000..._<36720>] (0.00%)

Φ₁₂₁₃₇₅(10) = 9999999999..._<97000> = [9999999999..._<97000>] (0.00%)

Φ₁₂₁₃₇₆(10) = 9999999999..._<60672> = 1335137 × [7489868080..._<60666>] (0.01%)

Φ₁₂₁₃₇₇(10) = 9009009009..._<80916> = 101471173 × [8878392495..._<80908>] (0.01%)

Φ₁₂₁₃₇₈(10) = 9090909090..._<60688> = 121379 × [7489688571..._<60683>] (0.01%)

Φ₁₂₁₃₇₉(10) = 1111111111..._<121379> = [1111111111..._<121379>] (0.00%)

Φ_121380L(10) = 1000000010..._<13057> = 17787807372721_<14> × 279169014159798421_<18> × [2013772350..._<13026>] (0.24%)

Φ_121380M(10) = 9999999900..._<13056> = 371806076462009281_<18> × [2689574090..._<13039>] (0.13%)

Φ₁₂₁₃₈₁(10) = 9000000000..._<112032> = [9000000000..._<112032>] (0.00%)

Φ₁₂₁₃₈₂(10) = 1099999999..._<60113> = 50396447407129_<14> × [2182693536..._<60099>] (0.02%)

Φ₁₂₁₃₈₃(10) = 9990000009..._<80916> = [9990000009..._<80916>] (0.00%)

Φ₁₂₁₃₈₄(10) = 9999000099..._<60688> = [9999000099..._<60688>] (0.00%)

Φ₁₂₁₃₈₅(10) = 1111099999..._<88241> = 1699391 × 183826415081_<12> × 37829165975591_<14> × [9402106135..._<88209>] (0.04%)

Φ₁₂₁₃₈₆(10) = 1098901098..._<40461> = 242773 × 57967886727721_<14> × [7808556455..._<40441>] (0.05%)

Φ₁₂₁₃₈₇(10) = 9000000900..._<104040> = 1271650213_<10> × [7077418623..._<104031>] (0.01%)

Φ₁₂₁₃₈₈(10) = 9900990099..._<60692> = 3366210629_<10> × 49221469113329_<14> × 1369151821462001_<16> × [4364466443..._<60654>] (0.06%)

Φ₁₂₁₃₈₉(10) = 1109999999..._<78961> = [1109999999..._<78961>] (0.00%)

Φ₁₂₁₃₉₀(10) = 9091000000..._<47520> = 44157544690364681_<17> × [2058764830..._<47504>] (0.04%)

Φ₁₂₁₃₉₁(10) = 9000000000..._<114984> = 17623420347271_<14> × [5106840682..._<114971>] (0.01%)

Φ₁₂₁₃₉₂(10) = 1000000000..._<40321> = 200296801 × [4992590970..._<40312>] (0.02%)

Φ₁₂₁₃₉₃(10) = 9000000000..._<120640> = [9000000000..._<120640>] (0.00%)

Φ₁₂₁₃₉₄(10) = 1099999889..._<44353> = 606971 × 298993423 × 32565101962830529_<17> × [1861275335..._<44322>] (0.07%)

Φ₁₂₁₃₉₅(10) = 1109988900..._<64737> = 41031511 × [2705210880..._<64729>] (0.01%)

Φ₁₂₁₃₉₆(10) = 9900990099..._<52800> = 710577875080481_<15> × [1393371570..._<52786>] (0.03%)

Φ₁₂₁₃₉₇(10) = 1111111111..._<110593> = 286623268540837_<15> × [3876555859..._<110578>] (0.01%)

Φ₁₂₁₃₉₈(10) = 1098901098..._<40465> = 3763339 × [2920016237..._<40458>] (0.02%)

Φ₁₂₁₃₉₉(10) = 9000000000..._<119664> = 14567881 × [6177974682..._<119657>] (0.01%)

Φ₁₂₁₄₀₀(10) = 1000000000..._<48481> = 13603598401_<11> × 1290123384401_<13> × 20353064519321201_<17> × [2799530098..._<48442>] (0.08%)

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