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131431877505060 = 223511319916224851
BaseRepresentation
bin11101111000100101011110…
…010111101111000000100100
3122020100202122112011010101020
4131320211132113233000210
5114211334441120130220
61143310545422131140
736453432306530166
oct3570453627570044
9566322575133336
10131431877505060
1138972a4547a920
12128a8465a20ab0
135844c8550ca92
1424654a0302936
15102dca109a040
hex77895e5ef024

131431877505060 has 96 divisors (see below), whose sum is σ = 401477257810944. Its totient is φ = 31861272240000.

The previous prime is 131431877505053. The next prime is 131431877505121. The reversal of 131431877505060 is 60505778134131.

It is a junction number, because it is equal to n+sod(n) for n = 131431877504994 and 131431877505012.

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, 18001635 + ... + 24226485.

It is an arithmetic number, because the mean of its divisors is an integer number (4182054768864).

Almost surely, 2131431877505060 is an apocalyptic number.

131431877505060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131431877505060 is an abundant number, since it is smaller than the sum of its proper divisors (270045380305884).

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

131431877505060 is a wasteful number, since it uses less digits than its factorization.

131431877505060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256865 (or 6256863 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 131431877505060 in words is "one hundred thirty-one trillion, four hundred thirty-one billion, eight hundred seventy-seven million, five hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 31991 63982 95973 127964 159955 191946 319910 351901 383892 479865 639820 703802 959730 1055703 1407604 1759505 1919460 2111406 3519010 4222812 5278515 6224851 7038020 10557030 12449702 18674553 21114060 24899404 31124255 37349106 62248510 68473361 74698212 93372765 124497020 136946722 186745530 205420083 273893444 342366805 373491060 410840166 684733610 821680332 1027100415 1369467220 2054200830 4108401660 199139208341 398278416682 597417625023 796556833364 995696041705 1194835250046 1991392083410 2190531291751 2389670500092 2987088125115 3982784166820 4381062583502 5974176250230 6571593875253 8762125167004 10952656458755 11948352500460 13143187750506 21905312917510 26286375501012 32857969376265 43810625835020 65715938752530 131431877505060