Factorization of cyclotomic number Phi

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Φ₁₀₅₁₀₁(10) = 9000000000..._<104412> = [9000000000..._<104412>] (0.00%)

Φ₁₀₅₁₀₂(10) = 1000999998..._<35029> = 41723902020007_<14> × [2399104471..._<35015>] (0.04%)

Φ₁₀₅₁₀₃(10) = 9000000000..._<103320> = [9000000000..._<103320>] (0.00%)

Φ₁₀₅₁₀₄(10) = 9999999900..._<52544> = 315313 × 2015718441568177_<16> × 12878304245108641_<17> × [1221714051..._<52508>] (0.07%)

Φ₁₀₅₁₀₅(10) = 1000000100..._<40321> = [1000000100..._<40321>] (0.00%)

Φ₁₀₅₁₀₆(10) = 9090909090..._<52552> = 353937636563569_<15> × [2568505903..._<52538>] (0.03%)

Φ₁₀₅₁₀₇(10) = 1111111111..._<105107> = 98052808580495776041639557_<26> × [1133176221..._<105081>] (0.02%)

Φ₁₀₅₁₀₈(10) = 9901000000..._<33120> = 139373209 × 468938816461_<12> × 4198311606289_<13> × [3608352094..._<33088>] (0.10%)

Φ₁₀₅₁₀₉(10) = 9000000000..._<103840> = 2250773644391_<13> × [3998625104..._<103828>] (0.01%)

Φ₁₀₅₁₁₀(10) = 9091000000..._<40128> = 1415523392173632743401_<22> × [6422359425..._<40107>] (0.05%)

Φ₁₀₅₁₁₁(10) = 1000000001..._<65665> = [1000000001..._<65665>] (0.00%)

Φ₁₀₅₁₁₂(10) = 1000099999..._<45025> = 548999977 × 35122218070751537041_<20> × [5186676555..._<44996>] (0.06%)

Φ₁₀₅₁₁₃(10) = 9000000000..._<104448> = 323353235573_<12> × [2783333831..._<104437>] (0.01%)

Φ₁₀₅₁₁₄(10) = 1098901098..._<35037> = [1098901098..._<35037>] (0.00%)

Φ₁₀₅₁₁₅(10) = 9000090000..._<84088> = 1051151 × 2864383751_<10> × 952156266911_<12> × [3139368620..._<84061>] (0.03%)

Φ₁₀₅₁₁₆(10) = 1009999999..._<47761> = 36043062830524201_<17> × 712582095643741173181_<21> × [3932464210..._<47723>] (0.08%)

Φ₁₀₅₁₁₇(10) = 1109999999..._<68113> = 1917442981213_<13> × [5788959624..._<68100>] (0.02%)

Φ₁₀₅₁₁₈(10) = 1000000000..._<48361> = [1000000000..._<48361>] (0.00%)

Φ₁₀₅₁₁₉(10) = 9000000900..._<90096> = 929041723 × 1666644925961_<13> × [5812517185..._<90075>] (0.02%)

Φ₁₀₅₁₂₀(10) = 9999999999..._<27648> = 5256001 × [1902587157..._<27642>] (0.02%)

Φ₁₀₅₁₂₁(10) = 9000000000..._<101700> = [9000000000..._<101700>] (0.00%)

Φ₁₀₅₁₂₂(10) = 9090909090..._<52560> = 33200198119289_<14> × 14658261073779263_<17> × 25094799689727881_<17> × [7443898685..._<52514>] (0.09%)

Φ₁₀₅₁₂₃(10) = 1109999999..._<68905> = 1478239627_<10> × 98931600523933_<14> × [7590023200..._<68881>] (0.03%)

Φ₁₀₅₁₂₄(10) = 1009999999..._<51201> = 3533891678793781_<16> × [2858038932..._<51185>] (0.03%)

Φ₁₀₅₁₂₅(10) = 9999999999..._<81200> = 36793751 × 173346709751_<12> × [1567871017..._<81182>] (0.02%)

Φ₁₀₅₁₂₆(10) = 9100000909..._<30024> = 2100627733_<10> × [4332038831..._<30015>] (0.03%)

Φ₁₀₅₁₂₇(10) = 1111111111..._<90361> = 87622303231_<11> × 264780570111641_<15> × [4789130956..._<90335>] (0.03%)

Φ₁₀₅₁₂₈(10) = 1000099999..._<49409> = [1000099999..._<49409>] (0.00%)

Φ₁₀₅₁₂₉(10) = 9990000009..._<70080> = 4710199717_<10> × [2120929177..._<70071>] (0.01%)

Φ₁₀₅₁₃₀(10) = 1099989000..._<42049> = [1099989000..._<42049>] (0.00%)

Φ₁₀₅₁₃₁(10) = 9000000000..._<97032> = 8231899857637_<13> × [1093307760..._<97020>] (0.01%)

Φ₁₀₅₁₃₂(10) = 1009998990..._<35041> = [1009998990..._<35041>] (0.00%)

Φ₁₀₅₁₃₃(10) = 1111110999..._<86065> = [1111110999..._<86065>] (0.00%)

Φ₁₀₅₁₃₄(10) = 9090909090..._<52566> = 9777463 × 49097579 × 135479207005081_<15> × 13884053884715171338529_<23> × [1006774297..._<52516>] (0.10%)

Φ₁₀₅₁₃₅(10) = 9009099100..._<54432> = 71867762761_<11> × [1253566098..._<54422>] (0.02%)

Φ₁₀₅₁₃₆(10) = 9999999900..._<52560> = 105137 × 735953 × 48273289777876947597930645601_<29> × [2677240822..._<52521>] (0.08%)

Φ₁₀₅₁₃₇(10) = 1111111111..._<105137> = 21027401 × 240155046823833853_<18> × [2200291271..._<105112>] (0.02%)

Φ₁₀₅₁₃₈(10) = 9999999999..._<31320> = 210277 × 109811620443160198333_<21> × [4330718222..._<31295>] (0.08%)

Φ₁₀₅₁₃₉(10) = 9000000000..._<102856> = 420557 × [2140019069..._<102851>] (0.01%)

Φ_105140L(10) = 2798897498..._<18001> = 29081288144787704214518221_<26> × [9624393130..._<17975>] (0.14%)

Φ_105140M(10) = 3537460769..._<18000> = [3537460769..._<18000>] (0.00%)

Φ₁₀₅₁₄₁(10) = 1109999999..._<69201> = 210283 × 1214335442191_<13> × [4346904948..._<69183>] (0.03%)

Φ₁₀₅₁₄₂(10) = 9090909090..._<52570> = 105143 × 95510273277650863_<17> × [9052673618..._<52548>] (0.04%)

Φ₁₀₅₁₄₃(10) = 1111111111..._<105143> = 175270857569_<12> × [6339394503..._<105131>] (0.01%)

Φ₁₀₅₁₄₄(10) = 9999000100..._<32256> = 3154321 × [3169937396..._<32250>] (0.02%)

Φ₁₀₅₁₄₅(10) = 1111099999..._<79105> = 21870161 × [5080438136..._<79097>] (0.01%)

Φ₁₀₅₁₄₆(10) = 1099999999..._<49789> = 118289251 × [9299238863..._<49780>] (0.02%)

Φ₁₀₅₁₄₇(10) = 1001000999..._<60049> = [1001000999..._<60049>] (0.00%)

Φ₁₀₅₁₄₈(10) = 1009999999..._<51841> = [1009999999..._<51841>] (0.00%)

Φ₁₀₅₁₄₉(10) = 9999999999..._<94380> = [9999999999..._<94380>] (0.00%)

Φ₁₀₅₁₅₀(10) = 9999900001..._<28000> = 9853934883451_<13> × 53163653864626651_<17> × [1908847120..._<27971>] (0.11%)

Φ₁₀₅₁₅₁(10) = 9000000000..._<103600> = 630907 × 6098759 × 76760231 × 160372940369_<12> × 483348531234841_<15> × [3931044166..._<103554>] (0.04%)

Φ₁₀₅₁₅₂(10) = 1000000000..._<49921> = 21760730365329281_<17> × [4595433991..._<49904>] (0.03%)

Φ₁₀₅₁₅₃(10) = 9009009009..._<70100> = 630919 × [1427918482..._<70095>] (0.01%)

Φ₁₀₅₁₅₄(10) = 9999999000..._<42336> = [9999999000..._<42336>] (0.00%)

Φ₁₀₅₁₅₅(10) = 9000090000..._<84120> = 79076561 × 607767508151_<12> × [1872671495..._<84101>] (0.02%)

Φ₁₀₅₁₅₆(10) = 9999990000..._<33264> = 767113021 × [1303587571..._<33256>] (0.03%)

Φ₁₀₅₁₅₇(10) = 9000000000..._<97056> = 4206281 × [2139657336..._<97050>] (0.01%)

Φ₁₀₅₁₅₈(10) = 9090909090..._<52578> = 210317 × 355113791853313834454906999368717_<33> × [1217209678..._<52541>] (0.07%)

Φ₁₀₅₁₅₉(10) = 9009009009..._<70104> = 210319 × 16471264489_<11> × [2600588106..._<70089>] (0.02%)

Φ₁₀₅₁₆₀(10) = 9999000099..._<38080> = 407600161 × [2453139389..._<38072>] (0.02%)

Φ₁₀₅₁₆₁(10) = 1111110999..._<88561> = 210323 × [5282879190..._<88555>] (0.01%)

Φ₁₀₅₁₆₂(10) = 9100000000..._<32960> = [9100000000..._<32960>] (0.00%)

Φ₁₀₅₁₆₃(10) = 9000000000..._<104040> = [9000000000..._<104040>] (0.00%)

Φ₁₀₅₁₆₄(10) = 1009999999..._<51601> = [1009999999..._<51601>] (0.00%)

Φ₁₀₅₁₆₅(10) = 9999999990..._<51840> = 36176761 × 503109361 × 58096515276271_<14> × [9457096864..._<51810>] (0.06%)

Φ₁₀₅₁₆₆(10) = 9090909090..._<52582> = 105167 × 24924343 × 18309400601_<11> × 63097496681_<11> × [3002049533..._<52549>] (0.06%)

Φ₁₀₅₁₆₇(10) = 1111111111..._<105167> = 317522730409_<12> × 398082563045247551_<18> × 1344571527209052542761_<22> × [6537709287..._<105116>] (0.05%)

Φ₁₀₅₁₆₈(10) = 9999999900..._<29952> = 631744177 × [1582919204..._<29944>] (0.03%)

Φ₁₀₅₁₆₉(10) = 9000000000..._<104500> = 420677 × 40805573 × 64994443 × [8066739535..._<104479>] (0.02%)

Φ₁₀₅₁₇₀(10) = 9091000000..._<38784> = 3131627237795291_<16> × [2902963638..._<38769>] (0.04%)

Φ₁₀₅₁₇₁(10) = 1109999999..._<63721> = 5468893 × [2029661212..._<63714>] (0.01%)

Φ₁₀₅₁₇₂(10) = 9900990099..._<52584> = [9900990099..._<52584>] (0.00%)

Φ₁₀₅₁₇₃(10) = 1111111111..._<105173> = 210347 × 7870521320838431_<16> × 39327819686701849_<17> × [1706545210..._<105135>] (0.04%)

Φ₁₀₅₁₇₄(10) = 1000999998..._<35053> = 600964237 × 5922873811_<10> × 3016515946595197500757_<22> × [9322820949..._<35012>] (0.11%)

Φ₁₀₅₁₇₅(10) = 1000010000..._<72001> = [1000010000..._<72001>] (0.00%)

Φ₁₀₅₁₇₆(10) = 9999000099..._<52584> = [9999000099..._<52584>] (0.00%)

Φ₁₀₅₁₇₇(10) = 9009009009..._<70116> = [9009009009..._<70116>] (0.00%)

Φ₁₀₅₁₇₈(10) = 1099999999..._<51325> = [1099999999..._<51325>] (0.00%)

Φ₁₀₅₁₇₉(10) = 1111111111..._<94337> = 210359 × 354873947 × [1488408961..._<94323>] (0.01%)

Φ_105180L(10) = 2529932837..._<14017> = 2151667261_<10> × [1175801148..._<14008>] (0.07%)

Φ_105180M(10) = 3913542626..._<14016> = [3913542626..._<14016>] (0.00%)

Φ₁₀₅₁₈₁(10) = 9000000000..._<104092> = [9000000000..._<104092>] (0.00%)

Φ₁₀₅₁₈₂(10) = 9090910000..._<40920> = 2524369 × 28925051 × [1245031635..._<40907>] (0.03%)

Φ₁₀₅₁₈₃(10) = 9990000009..._<60480> = 248810634564639031_<18> × [4015101696..._<60463>] (0.03%)

Φ₁₀₅₁₈₄(10) = 1000000000..._<49537> = [1000000000..._<49537>] (0.00%)

Φ₁₀₅₁₈₅(10) = 1111099999..._<82945> = 6514568181041_<13> × [1705562009..._<82932>] (0.02%)

Φ₁₀₅₁₈₆(10) = 9100000000..._<34224> = 13212518647_<11> × [6887407498..._<34214>] (0.03%)

Φ₁₀₅₁₈₇(10) = 9000000000..._<104536> = 31976849 × [2814536229..._<104529>] (0.01%)

Φ₁₀₅₁₈₈(10) = 9900990099..._<52592> = 3266472914021_<13> × [3031095116..._<52580>] (0.02%)

Φ₁₀₅₁₈₉(10) = 1109999889..._<60097> = [1109999889..._<60097>] (0.00%)

Φ₁₀₅₁₉₀(10) = 9091000000..._<41184> = [9091000000..._<41184>] (0.00%)

Φ₁₀₅₁₉₁(10) = 9000000000..._<102312> = 35975323 × [2501714856..._<102305>] (0.01%)

Φ₁₀₅₁₉₂(10) = 1000000000..._<34993> = [1000000000..._<34993>] (0.00%)

Φ₁₀₅₁₉₃(10) = 1111111111..._<93601> = 4418107 × 38462768521_<11> × [6538539018..._<93583>] (0.02%)

Φ₁₀₅₁₉₄(10) = 1099999999..._<52097> = 4840712299_<10> × 21572467781339_<14> × 13737390620858882413_<20> × [7667951139..._<52054>] (0.08%)

Φ₁₀₅₁₉₅(10) = 1109988900..._<56097> = 210391 × [5275838320..._<56091>] (0.01%)

Φ₁₀₅₁₉₆(10) = 9999999999..._<39168> = 63312693766819589_<17> × 64812656404979029_<17> × [2436965530..._<39135>] (0.09%)

Φ₁₀₅₁₉₇(10) = 9000000000..._<103356> = [9000000000..._<103356>] (0.00%)

Φ₁₀₅₁₉₈(10) = 9100000000..._<34496> = 38818063 × [2344269470..._<34489>] (0.02%)

Φ₁₀₅₁₉₉(10) = 1111111111..._<105199> = 1051991 × 3921422677905819277_<19> × [2693405918..._<105174>] (0.02%)

Φ₁₀₅₂₀₀(10) = 1000000000..._<41921> = 210401 × 106672801 × [4455521067..._<41907>] (0.03%)

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