Factorization of cyclotomic number Phi

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Φ₁₂₃₄₀₁(10) = 1111111111..._<123401> = 246803 × 1786599679_<10> × [2519879680..._<123386>] (0.01%)

Φ₁₂₃₄₀₂(10) = 9100000000..._<40560> = 59973373 × 807542689 × [1878959536..._<40544>] (0.04%)

Φ₁₂₃₄₀₃(10) = 1000000000..._<97921> = 2714867 × [3683421692..._<97914>] (0.01%)

Φ₁₂₃₄₀₄(10) = 9900990099..._<61700> = 246809 × 3472199844434029_<16> × [1155348275..._<61680>] (0.03%)

Φ₁₂₃₄₀₅(10) = 9009099100..._<62208> = 14808601 × [6083693591..._<62201>] (0.01%)

Φ₁₂₃₄₀₆(10) = 9090909090..._<61702> = 123407 × [7366607316..._<61697>] (0.01%)

Φ₁₂₃₄₀₇(10) = 1111111111..._<123407> = 43686079 × 77377648499541413_<17> × [3286993886..._<123382>] (0.02%)

Φ₁₂₃₄₀₈(10) = 1000000000..._<41089> = [1000000000..._<41089>] (0.00%)

Φ₁₂₃₄₀₉(10) = 1111111111..._<103441> = [1111111111..._<103441>] (0.00%)

Φ₁₂₃₄₁₀(10) = 1099988890..._<40321> = 30605681 × 993910890384161_<15> × [3616086430..._<40298>] (0.06%)

Φ₁₂₃₄₁₁(10) = 1109999999..._<79561> = 2221399 × 40928701566391_<14> × [1220867237..._<79541>] (0.03%)

Φ₁₂₃₄₁₂(10) = 9900990099..._<61704> = [9900990099..._<61704>] (0.00%)

Φ₁₂₃₄₁₃(10) = 9000000000..._<122508> = 227326747 × [3959058983..._<122500>] (0.01%)

Φ₁₂₃₄₁₄(10) = 9100000000..._<40392> = 13284036133_<11> × 210953664898891_<15> × [3247313883..._<40368>] (0.06%)

Φ₁₂₃₄₁₅(10) = 9000090000..._<98728> = [9000090000..._<98728>] (0.00%)

Φ₁₂₃₄₁₆(10) = 9999000099..._<61704> = 56894777 × 575964092579135593_<18> × [3051327086..._<61679>] (0.04%)

Φ₁₂₃₄₁₇(10) = 1000000001..._<70417> = 1727839 × [5787576278..._<70410>] (0.01%)

Φ₁₂₃₄₁₈(10) = 1099999999..._<59005> = 123419 × 39370343 × 8646665081_<10> × [2618139760..._<58982>] (0.04%)

Φ₁₂₃₄₁₉(10) = 1111111111..._<123419> = 246839 × 12996474881921_<14> × 45068239735128608681_<20> × [7685064991..._<123380>] (0.03%)

Φ_123420L(10) = 1000010000..._<14081> = 94292881 × 52984205705643301_<17> × [2001607914..._<14056>] (0.18%)

Φ_123420M(10) = 9999900000..._<14080> = 4443121 × [2250647686..._<14074>] (0.05%)

Φ₁₂₃₄₂₁(10) = 9000000000..._<121852> = 4443157 × 828497135451431_<15> × [2444892897..._<121831>] (0.02%)

Φ₁₂₃₄₂₂(10) = 9090909090..._<55200> = 740533 × 347926619 × [3528379104..._<55186>] (0.03%)

Φ₁₂₃₄₂₃(10) = 9009009009..._<82280> = 493693 × 1234231 × 10712526684907_<14> × [1380167144..._<82256>] (0.03%)

Φ₁₂₃₄₂₄(10) = 9999999999..._<48384> = 17526209 × 106021217 × 432986202881_<12> × [1242925707..._<48358>] (0.06%)

Φ₁₂₃₄₂₅(10) = 9999900000..._<98720> = 229076801 × 48602365371151_<14> × 97113267139751_<14> × [9248654933..._<98684>] (0.04%)

Φ₁₂₃₄₂₆(10) = 1000999998..._<41137> = 863983 × 1604539 × 16127801221862692207_<20> × [4477168507..._<41105>] (0.08%)

Φ₁₂₃₄₂₇(10) = 1111111111..._<123427> = 17773489 × [6251508137..._<123419>] (0.01%)

Φ₁₂₃₄₂₈(10) = 1009999999..._<60553> = [1009999999..._<60553>] (0.00%)

Φ₁₂₃₄₂₉(10) = 9009009009..._<82284> = 177139376209_<12> × [5085830830..._<82273>] (0.01%)

Φ₁₂₃₄₃₀(10) = 1099989000..._<49369> = 52481325131_<11> × [2095962701..._<49358>] (0.02%)

Φ₁₂₃₄₃₁(10) = 1000000100..._<95761> = 1481173 × 1328858147_<10> × [5080607363..._<95745>] (0.02%)

Φ₁₂₃₄₃₂(10) = 9999000100..._<39744> = 123433 × 1357753 × 293891593 × [2030099640..._<39725>] (0.05%)

Φ₁₂₃₄₃₃(10) = 1111111111..._<123433> = 493733 × [2250429100..._<123427>] (0.00%)

Φ₁₂₃₄₃₄(10) = 9090909090..._<61716> = 32625217260569_<14> × [2786466989..._<61703>] (0.02%)

Φ₁₂₃₄₃₅(10) = 9990000009..._<60480> = 32833711 × 368323374511_<12> × 509854932991_<12> × [1620203667..._<60450>] (0.05%)

Φ₁₂₃₄₃₆(10) = 9900990099..._<61716> = 89244229 × 36593112191263501_<17> × [3031790146..._<61692>] (0.04%)

Φ₁₂₃₄₃₇(10) = 1111111111..._<113153> = 3209363 × [3462092356..._<113146>] (0.01%)

Φ₁₂₃₄₃₈(10) = 9100000909..._<35256> = 169233499 × [5377186528..._<35248>] (0.02%)

Φ₁₂₃₄₃₉(10) = 1111111111..._<123439> = 8887609 × 15306437 × [8167674882..._<123424>] (0.01%)

Φ₁₂₃₄₄₀(10) = 1000000009..._<49345> = 2468801 × [4050549274..._<49338>] (0.01%)

Φ₁₂₃₄₄₁(10) = 1109999999..._<78673> = 183321241573_<12> × [6054944808..._<78661>] (0.01%)

Φ₁₂₃₄₄₂(10) = 9090909091..._<54000> = 1061488003687_<13> × [8564306953..._<53988>] (0.02%)

Φ₁₂₃₄₄₃(10) = 1111111111..._<114049> = [1111111111..._<114049>] (0.00%)

Φ₁₂₃₄₄₄(10) = 1000000000..._<40825> = 2660032663669_<13> × [3759352332..._<40812>] (0.03%)

Φ₁₂₃₄₄₅(10) = 1111099888..._<84625> = [1111099888..._<84625>] (0.00%)

Φ₁₂₃₄₄₆(10) = 9090909090..._<61722> = [9090909090..._<61722>] (0.00%)

Φ₁₂₃₄₄₇(10) = 9009009009..._<82296> = 3456517 × 9034345249_<10> × [2884972254..._<82280>] (0.02%)

Φ₁₂₃₄₄₈(10) = 1000099999..._<56929> = 1431716355771521_<16> × [6985322169..._<56913>] (0.03%)

Φ₁₂₃₄₄₉(10) = 1111111111..._<123449> = 6632174077_<10> × [1675334661..._<123439>] (0.01%)

Φ₁₂₃₄₅₀(10) = 9999900001..._<32880> = 15801601 × [6328409381..._<32873>] (0.02%)

Φ₁₂₃₄₅₁(10) = 9000000000..._<120400> = 4277577151_<10> × [2103994780..._<120391>] (0.01%)

Φ₁₂₃₄₅₂(10) = 1009999999..._<52897> = 43208201 × 85928170672429_<14> × [2720317673..._<52875>] (0.04%)

Φ₁₂₃₄₅₃(10) = 9990000009..._<70560> = [9990000009..._<70560>] (0.00%)

Φ₁₂₃₄₅₄(10) = 1099999999..._<58081> = 9629413 × 251228891 × 827270992314202526081_<21> × [5496364093..._<58044>] (0.06%)

Φ₁₂₃₄₅₅(10) = 9000090000..._<98760> = 10631575469551_<14> × 373576846020151_<15> × [2266048886..._<98733>] (0.03%)

Φ₁₂₃₄₅₆(10) = 1000000000..._<41089> = 123457 × 15881952449229968833_<20> × [5100119935..._<41064>] (0.06%)

Φ₁₂₃₄₅₇(10) = 1111111111..._<123457> = [1111111111..._<123457>] (0.00%)

Φ₁₂₃₄₅₈(10) = 9090909090..._<61728> = 816855042139_<12> × 759953530346583162371_<21> × [1464452480..._<61696>] (0.05%)

Φ₁₂₃₄₅₉(10) = 1109999889..._<70537> = 246919 × [4495400876..._<70531>] (0.01%)

Φ_123460L(10) = 2824060999..._<24689> = 2222281 × 6200531747691396901_<19> × [2049491703..._<24664>] (0.10%)

Φ_123460M(10) = 3576409999..._<24688> = [3576409999..._<24688>] (0.00%)

Φ₁₂₃₄₆₁(10) = 9000000000..._<113952> = 246923 × 1545237877_<10> × 14487975751523_<14> × [1628088126..._<113925>] (0.02%)

Φ₁₂₃₄₆₂(10) = 1000000000..._<38989> = 19 × 1328420214389418517_<19> × [3961967634..._<38969>] (0.05%)

Φ₁₂₃₄₆₃(10) = 9000000000..._<122760> = [9000000000..._<122760>] (0.00%)

Φ₁₂₃₄₆₄(10) = 9999000099..._<52800> = 246929 × [4049342159..._<52795>] (0.01%)

Φ₁₂₃₄₆₅(10) = 1109988900..._<65841> = [1109988900..._<65841>] (0.00%)

Φ₁₂₃₄₆₆(10) = 1099999890..._<52909> = [1099999890..._<52909>] (0.00%)

Φ₁₂₃₄₆₇(10) = 9000000000..._<122760> = [9000000000..._<122760>] (0.00%)

Φ₁₂₃₄₆₈(10) = 1009998990..._<41153> = 617341 × [1636047160..._<41147>] (0.01%)

Φ₁₂₃₄₆₉(10) = 1111111111..._<115921> = 493877 × 542559579763_<12> × [4146591499..._<115903>] (0.02%)

Φ₁₂₃₄₇₀(10) = 1099989000..._<49385> = 370411 × 1340859664600192168188469771_<28> × [2214731793..._<49352>] (0.07%)

Φ₁₂₃₄₇₁(10) = 1000000001..._<77185> = [1000000001..._<77185>] (0.00%)

Φ₁₂₃₄₇₂(10) = 9999999900..._<61728> = 1234721 × [8098995562..._<61722>] (0.01%)

Φ₁₂₃₄₇₃(10) = 1111110999..._<102241> = 246947 × 45191119 × 7201686199_<10> × [1382504022..._<102218>] (0.02%)

Φ₁₂₃₄₇₄(10) = 9100000000..._<37968> = 370423 × 220247858767_<12> × [1115402857..._<37952>] (0.04%)

Φ₁₂₃₄₇₅(10) = 1000010000..._<89601> = 1607347172201_<13> × [6221493510..._<89588>] (0.01%)

Φ₁₂₃₄₇₆(10) = 9900990099..._<61736> = 10248509 × 25361353021_<11> × 873027124442603629_<18> × [4363327215..._<61701>] (0.06%)

Φ₁₂₃₄₇₇(10) = 1109999999..._<81121> = 24793687693_<11> × [4476945961..._<81110>] (0.01%)

Φ₁₂₃₄₇₈(10) = 1099999999..._<61057> = [1099999999..._<61057>] (0.00%)

Φ₁₂₃₄₇₉(10) = 1111111111..._<123479> = [1111111111..._<123479>] (0.00%)

Φ₁₂₃₄₈₀(10) = 9999999999..._<28224> = 123233041 × 14239390828466161_<17> × [5698773867..._<28200>] (0.09%)

Φ₁₂₃₄₈₁(10) = 1111111111..._<114049> = 196334791 × 7036599606643_<13> × [8042616979..._<114027>] (0.02%)

Φ₁₂₃₄₈₂(10) = 1099999999..._<59585> = 1111339 × 112245139 × [8818172452..._<59570>] (0.02%)

Φ₁₂₃₄₈₃(10) = 9009009009..._<82320> = 1481797 × [6079786238..._<82314>] (0.01%)

Φ₁₂₃₄₈₄(10) = 9900990099..._<61740> = 158923909 × 7889639729_<10> × [7896455920..._<61722>] (0.03%)

Φ₁₂₃₄₈₅(10) = 9000090000..._<98784> = [9000090000..._<98784>] (0.00%)

Φ₁₂₃₄₈₆(10) = 9100000000..._<37400> = [9100000000..._<37400>] (0.00%)

Φ₁₂₃₄₈₇(10) = 9000000900..._<91872> = [9000000900..._<91872>] (0.00%)

Φ₁₂₃₄₈₈(10) = 1000000000..._<57857> = [1000000000..._<57857>] (0.00%)

Φ₁₂₃₄₈₉(10) = 9990000009..._<82320> = [9990000009..._<82320>] (0.00%)

Φ₁₂₃₄₉₀(10) = 9091000000..._<48256> = 123491 × 34083241 × 170240417086551330971_<21> × [1268740461..._<48224>] (0.07%)

Φ₁₂₃₄₉₁(10) = 1111111111..._<123491> = 3764497624675169_<16> × [2951552164..._<123475>] (0.01%)

Φ₁₂₃₄₉₂(10) = 9901000000..._<40000> = 1943023129_<10> × [5095667597..._<39991>] (0.02%)

Φ₁₂₃₄₉₃(10) = 1111111111..._<123493> = 306916137481607051609918536723_<30> × [3620243367..._<123463>] (0.02%)

Φ₁₂₃₄₉₄(10) = 1099999890..._<52921> = [1099999890..._<52921>] (0.00%)

Φ₁₂₃₄₉₅(10) = 1109988900..._<65857> = 3951841 × [2808789371..._<65850>] (0.01%)

Φ₁₂₃₄₉₆(10) = 1000099999..._<60145> = 3334393 × [2999346507..._<60138>] (0.01%)

Φ₁₂₃₄₉₇(10) = 1111111111..._<110161> = [1111111111..._<110161>] (0.00%)

Φ₁₂₃₄₉₈(10) = 1000000000..._<41149> = 123499 × 56068093 × 14703353720376967_<17> × [9822100400..._<41119>] (0.07%)

Φ₁₂₃₄₉₉(10) = 1111111111..._<123499> = 366500148625346489609_<21> × [3031679837..._<123478>] (0.02%)

Φ_123500L(10) = 1000000000..._<21601> = 247001 × [4048566604..._<21595>] (0.02%)

Φ_123500M(10) = 9999999999..._<21600> = [9999999999..._<21600>] (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