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131775413423460 = 223523432220684419
BaseRepresentation
bin11101111101100101011010…
…101101010000110101100100
3122021120121101010120221210120
4131331211122231100311210
5114233002021314022320
61144132442245121540
736520313405621412
oct3575453255206544
9567517333527716
10131775413423460
1138a95703554a74
1212942b5b3b92b0
13586b4a2b25341
142477d6d4802b2
151037baa895440
hex77d95ab50d64

131775413423460 has 96 divisors (see below), whose sum is σ = 393967181583360. Its totient is φ = 32830598435712.

The previous prime is 131775413423449. The next prime is 131775413423473. The reversal of 131775413423460 is 64324314577131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110282870 + ... + 1110401549.

It is an arithmetic number, because the mean of its divisors is an integer number (4103824808160).

Almost surely, 2131775413423460 is an apocalyptic number.

131775413423460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131775413423460 is an abundant number, since it is smaller than the sum of its proper divisors (262191768159900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131775413423460 is a wasteful number, since it uses less digits than its factorization.

131775413423460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220684497 (or 2220684495 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 131775413423460 in words is "one hundred thirty-one trillion, seven hundred seventy-five billion, four hundred thirteen million, four hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 43 46 60 69 86 92 115 129 138 172 215 230 258 276 345 430 460 516 645 690 860 989 1290 1380 1978 2580 2967 3956 4945 5934 9890 11868 14835 19780 29670 59340 2220684419 4441368838 6662053257 8882737676 11103422095 13324106514 22206844190 26648213028 33310266285 44413688380 51075741637 66620532570 95489430017 102151483274 133241065140 153227224911 190978860034 204302966548 255378708185 286468290051 306454449822 381957720068 477447150085 510757416370 572936580102 612908899644 766136124555 954894300170 1021514832740 1145873160204 1432341450255 1532272249110 1909788600340 2196256890391 2864682900510 3064544498220 4392513780782 5729365801020 6588770671173 8785027561564 10981284451955 13177541342346 21962568903910 26355082684692 32943853355865 43925137807820 65887706711730 131775413423460