Factorization of cyclotomic number Phi

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Φ₈₂₁₀₁(10) = 9009009009..._<54732> = [9009009009..._<54732>] (0.00%)

Φ₈₂₁₀₂(10) = 9090909090..._<41050> = 14141248481_<11> × 149854130339_<12> × [4289936301..._<41029>] (0.05%)

Φ₈₂₁₀₃(10) = 1111110999..._<68257> = 4433563 × 6896653 × 111988493 × 203985396119_<12> × [1590719888..._<68224>] (0.05%)

Φ₈₂₁₀₄(10) = 9999000100..._<24800> = 28982713 × 2616572377_<10> × 8239300609_<10> × [1600274319..._<24774>] (0.11%)

Φ₈₂₁₀₅(10) = 9000090000..._<65680> = 492631 × 262571791 × [6957881828..._<65666>] (0.02%)

Φ₈₂₁₀₆(10) = 1099999999..._<40321> = [1099999999..._<40321>] (0.00%)

Φ₈₂₁₀₇(10) = 9999999990..._<54720> = [9999999990..._<54720>] (0.00%)

Φ₈₂₁₀₈(10) = 1009999999..._<37873> = 7389721 × 21062754701_<11> × 2038971624509_<13> × [3182489504..._<37843>] (0.08%)

Φ₈₂₁₀₉(10) = 9000000000..._<80316> = 75007556809_<11> × [1199879103..._<80306>] (0.01%)

Φ₈₂₁₁₀(10) = 9100091910..._<16896> = [9100091910..._<16896>] (0.00%)

Φ₈₂₁₁₁(10) = 9000000000..._<81432> = 1477999 × 705511287411631_<15> × [8631065309..._<81411>] (0.03%)

Φ₈₂₁₁₂(10) = 9999999999..._<41024> = [9999999999..._<41024>] (0.00%)

Φ₈₂₁₁₃(10) = 1109999999..._<54001> = 292582742437_<12> × [3793798604..._<53989>] (0.02%)

Φ₈₂₁₁₄(10) = 9090909090..._<41056> = 246343 × 93034047851132973532169_<23> × [3966661779..._<41028>] (0.07%)

Φ₈₂₁₁₅(10) = 1111099999..._<59681> = 164231 × 2219607479095271_<16> × 215556356201581368271_<21> × [1414037728..._<59640>] (0.07%)

Φ₈₂₁₁₆(10) = 1000000999..._<27361> = [1000000999..._<27361>] (0.00%)

Φ₈₂₁₁₇(10) = 9000000900..._<70380> = 2348840507329_<13> × [3831678171..._<70368>] (0.02%)

Φ₈₂₁₁₈(10) = 1099999999..._<38881> = 168293955504926217767_<21> × [6536182459..._<38860>] (0.05%)

Φ₈₂₁₁₉(10) = 1109999999..._<52921> = 164239 × [6758443487..._<52915>] (0.01%)

Φ₈₂₁₂₀(10) = 1000099999..._<32833> = 328481 × [3044620541..._<32827>] (0.02%)

Φ₈₂₁₂₁(10) = 9000000000..._<75792> = 1790303661043_<13> × [5027080151..._<75780>] (0.02%)

Φ₈₂₁₂₂(10) = 1098901098..._<27373> = 739099 × 14682017527_<11> × 248904800316049_<15> × [4068524938..._<27342>] (0.11%)

Φ₈₂₁₂₃(10) = 9000000000..._<80080> = [9000000000..._<80080>] (0.00%)

Φ₈₂₁₂₄(10) = 1000000000..._<35113> = [1000000000..._<35113>] (0.00%)

Φ₈₂₁₂₅(10) = 1000000000..._<43201> = 7320691066816872001_<19> × [1365991258..._<43182>] (0.04%)

Φ₈₂₁₂₆(10) = 1099999999..._<37321> = 1119016469328584773_<19> × [9830060862..._<37302>] (0.05%)

Φ₈₂₁₂₇(10) = 9000000000..._<77280> = 1529167618597_<13> × 430552711387609_<15> × [1366976624..._<77254>] (0.03%)

Φ₈₂₁₂₈(10) = 9999999900..._<25984> = 764365297 × 31435888177_<11> × 293715255517729_<15> × 112472431463485671061873_<24> × [1259797408..._<25928>] (0.22%)

Φ₈₂₁₂₉(10) = 1111111111..._<82129> = 1806839 × 6675445121_<10> × [9212082200..._<82112>] (0.02%)

Φ₈₂₁₃₀(10) = 9091000000..._<31920> = 739171 × 18595807992571_<14> × [6613809546..._<31901>] (0.06%)

Φ₈₂₁₃₁(10) = 1109999889..._<46921> = [1109999889..._<46921>] (0.00%)

Φ₈₂₁₃₂(10) = 9900990099..._<41064> = 164125131542929_<15> × [6032586238..._<41050>] (0.03%)

Φ₈₂₁₃₃(10) = 9000000000..._<78540> = 164267 × 2928205717_<10> × [1871072429..._<78526>] (0.02%)

Φ₈₂₁₃₄(10) = 1000000000..._<25273> = 5995783 × 7266107295537713533_<19> × [2295367810..._<25247>] (0.10%)

Φ₈₂₁₃₅(10) = 9000090000..._<65704> = 1884335256281_<13> × 2105561264764241_<16> × [2268406045..._<65677>] (0.04%)

Φ₈₂₁₃₆(10) = 9999000099..._<41064> = [9999000099..._<41064>] (0.00%)

Φ₈₂₁₃₇(10) = 9009009009..._<46800> = 2618199013_<10> × [3440918342..._<46791>] (0.02%)

Φ₈₂₁₃₈(10) = 1099999890..._<35197> = 82139 × [1339193184..._<35192>] (0.01%)

Φ₈₂₁₃₉(10) = 1111111111..._<82139> = 164279 × 10947814477_<11> × 182353632646698431_<18> × [3387923470..._<82106>] (0.04%)

Φ_82140L(10) = 9999999999..._<10656> = 161897941 × [6176730808..._<10648>] (0.08%)

Φ_82140M(10) = 1000000000..._<10657> = 179267401625885466841_<21> × 26714365185318115104061_<23> × [2088112137..._<10614>] (0.40%)

Φ₈₂₁₄₁(10) = 1111111111..._<82141> = 646121107 × 1842558793657163_<16> × [9333020237..._<82116>] (0.03%)

Φ₈₂₁₄₂(10) = 1099999999..._<40393> = [1099999999..._<40393>] (0.00%)

Φ₈₂₁₄₃(10) = 9990000009..._<54756> = [9990000009..._<54756>] (0.00%)

Φ₈₂₁₄₄(10) = 1000000000..._<38401> = [1000000000..._<38401>] (0.00%)

Φ₈₂₁₄₅(10) = 1111099888..._<56305> = 1065764344681_<13> × [1042538056..._<56293>] (0.02%)

Φ₈₂₁₄₆(10) = 1098901098..._<27381> = 410731 × 903607 × 16839931 × [1758252448..._<27362>] (0.07%)

Φ₈₂₁₄₇(10) = 1111111111..._<73921> = 492883 × [2254310071..._<73915>] (0.01%)

Φ₈₂₁₄₈(10) = 1009999999..._<37321> = 410741 × 4508179555001_<13> × 403435971672229_<15> × [1352002497..._<37288>] (0.09%)

Φ₈₂₁₄₉(10) = 1109999999..._<54097> = [1109999999..._<54097>] (0.00%)

Φ₈₂₁₅₀(10) = 9999900000..._<31200> = [9999900000..._<31200>] (0.00%)

Φ₈₂₁₅₁(10) = 9000000000..._<81312> = 133248923 × 22939430469952027_<17> × [2944395672..._<81288>] (0.03%)

Φ₈₂₁₅₂(10) = 9999999999..._<23328> = 82153 × [1217241001..._<23324>] (0.02%)

Φ₈₂₁₅₃(10) = 1111111111..._<82153> = 3450427 × 188623289 × [1707219386..._<82138>] (0.02%)

Φ₈₂₁₅₄(10) = 9090909090..._<41076> = [9090909090..._<41076>] (0.00%)

Φ₈₂₁₅₅(10) = 1109988900..._<43809> = [1109988900..._<43809>] (0.00%)

Φ₈₂₁₅₆(10) = 9900990099..._<36432> = [9900990099..._<36432>] (0.00%)

Φ₈₂₁₅₇(10) = 9000000000..._<79296> = 442504390468597_<15> × [2033878125..._<79282>] (0.02%)

Φ₈₂₁₅₈(10) = 1098901098..._<27385> = 1150213 × 44118847 × [2165489996..._<27371>] (0.05%)

Φ₈₂₁₅₉(10) = 1000000000..._<63361> = [1000000000..._<63361>] (0.00%)

Φ₈₂₁₆₀(10) = 9999999900..._<29952> = 164321 × 38729402401_<11> × [1571325399..._<29937>] (0.05%)

Φ₈₂₁₆₁(10) = 1000000001..._<51265> = 3450763 × 322939868198322889_<18> × [8973527621..._<51240>] (0.05%)

Φ₈₂₁₆₂(10) = 9090909090..._<41080> = [9090909090..._<41080>] (0.00%)

Φ₈₂₁₆₃(10) = 1111111111..._<82163> = [1111111111..._<82163>] (0.00%)

Φ₈₂₁₆₄(10) = 9901000000..._<26560> = [9901000000..._<26560>] (0.00%)

Φ₈₂₁₆₅(10) = 9000090000..._<65728> = [9000090000..._<65728>] (0.00%)

Φ₈₂₁₆₆(10) = 1099999890..._<35209> = 98402165933_<11> × 164181267454144207_<18> × [6808702835..._<35180>] (0.08%)

Φ₈₂₁₆₇(10) = 1109999999..._<53761> = 564980293 × 645799588867_<12> × [3042229092..._<53740>] (0.04%)

Φ₈₂₁₆₈(10) = 9999000099..._<41080> = [9999000099..._<41080>] (0.00%)

Φ₈₂₁₆₉(10) = 9000000000..._<81396> = 8874253 × [1014169868..._<81390>] (0.01%)

Φ₈₂₁₇₀(10) = 1000999998..._<19681> = 82171 × [1218191331..._<19676>] (0.02%)

Φ₈₂₁₇₁(10) = 1111111111..._<82171> = 986053 × 4063355951_<10> × 99173285099951_<14> × 155559421452688381067_<21> × [1797551512..._<82121>] (0.06%)

Φ₈₂₁₇₂(10) = 9900990099..._<41084> = 739549 × 9038921 × 390727861 × [3790711226..._<41063>] (0.05%)

Φ₈₂₁₇₃(10) = 9999999000..._<42336> = 9999229393609_<13> × [1000076966..._<42324>] (0.03%)

Φ₈₂₁₇₄(10) = 1099999999..._<40681> = 904061255809_<12> × [1216731712..._<40669>] (0.03%)

Φ₈₂₁₇₅(10) = 1000010000..._<61921> = [1000010000..._<61921>] (0.00%)

Φ₈₂₁₇₆(10) = 1000000000..._<27137> = [1000000000..._<27137>] (0.00%)

Φ₈₂₁₇₇(10) = 9000000000..._<79920> = [9000000000..._<79920>] (0.00%)

Φ₈₂₁₇₈(10) = 1099999999..._<38657> = [1099999999..._<38657>] (0.00%)

Φ₈₂₁₇₉(10) = 1001000999..._<52273> = [1001000999..._<52273>] (0.00%)

Φ_82180L(10) = 2798897498..._<14065> = [2798897498..._<14065>] (0.00%)

Φ_82180M(10) = 3537460769..._<14064> = [3537460769..._<14064>] (0.00%)

Φ₈₂₁₈₁(10) = 1111111111..._<72001> = 164363 × 272834074417865599_<18> × [2477734810..._<71978>] (0.03%)

Φ₈₂₁₈₂(10) = 1098901098..._<27393> = 14081888155926889_<17> × 918794248878748477_<18> × [8493358365..._<27358>] (0.12%)

Φ₈₂₁₈₃(10) = 1111111111..._<82183> = [1111111111..._<82183>] (0.00%)

Φ₈₂₁₈₄(10) = 9999000099..._<41088> = [9999000099..._<41088>] (0.00%)

Φ₈₂₁₈₅(10) = 1109988900..._<43825> = 1972441 × [5627488477..._<43818>] (0.01%)

Φ₈₂₁₈₆(10) = 9090909090..._<36288> = 688974360647_<12> × [1319484382..._<36277>] (0.03%)

Φ₈₂₁₈₇(10) = 1111110999..._<68905> = [1111110999..._<68905>] (0.00%)

Φ₈₂₁₈₈(10) = 1000000000..._<27361> = 82189 × [1216707831..._<27356>] (0.02%)

Φ₈₂₁₈₉(10) = 1111111111..._<82189> = 238414930357117293855839_<24> × [4660409100..._<82165>] (0.03%)

Φ₈₂₁₉₀(10) = 1099989000..._<32873> = [1099989000..._<32873>] (0.00%)

Φ₈₂₁₉₁(10) = 9009009009..._<54792> = 164053237 × 401749609 × [1366900034..._<54776>] (0.03%)

Φ₈₂₁₉₂(10) = 1000000009..._<37281> = 82193 × 18082241 × 116959217 × [5752789283..._<37260>] (0.05%)

Φ₈₂₁₉₃(10) = 1111111111..._<82193> = 164387 × 19726321 × [3426446259..._<82180>] (0.02%)

Φ₈₂₁₉₄(10) = 1098900989..._<22033> = 1810071171973_<13> × [6071037459..._<22020>] (0.06%)

Φ₈₂₁₉₅(10) = 1111099999..._<61825> = 379447235785834961_<18> × [2928206863..._<61807>] (0.03%)

Φ₈₂₁₉₆(10) = 9900990099..._<41096> = 1890509 × 6522252601_<10> × [8029754405..._<41080>] (0.04%)

Φ₈₂₁₉₇(10) = 9990000009..._<54792> = [9990000009..._<54792>] (0.00%)

Φ₈₂₁₉₈(10) = 1099999999..._<40465> = 135835693100287_<15> × 302986402236503_<15> × 9644594135813927_<16> × [2771224357..._<40420>] (0.11%)

Φ₈₂₁₉₉(10) = 9000000000..._<75864> = 513184040031125347_<18> × 12710882662100816467_<20> × [1379728573..._<75828>] (0.05%)

Φ₈₂₂₀₀(10) = 9999999999..._<21760> = 217830001 × [4590735873..._<21752>] (0.04%)

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