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131031031130220 = 223513547930660431
BaseRepresentation
bin11101110010110000001010…
…000100001010100001101100
3122011221102222211222110101010
4131302300022010022201230
5114133303022432131340
61142402454045145220
736412452046544064
oct3562601204124154
9564842884873333
10131031031130220
1138828a48112591
121284283725b210
135816233732530
14244dd159823a4
151023640218b80
hex772c0a10a86c

131031031130220 has 96 divisors (see below), whose sum is σ = 395181081630720. Its totient is φ = 32247904423680.

The previous prime is 131031031130161. The next prime is 131031031130221. The reversal of 131031031130220 is 22031130130131.

It is a happy number.

It is a super-2 number, since 2×1310310311302202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131031031130221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11056596 + ... + 19603835.

It is an arithmetic number, because the mean of its divisors is an integer number (4116469600320).

Almost surely, 2131031031130220 is an apocalyptic number.

131031031130220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131031031130220 is an abundant number, since it is smaller than the sum of its proper divisors (264150050500500).

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

131031031130220 is a wasteful number, since it uses less digits than its factorization.

131031031130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30665935 (or 30665933 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131031031130220 its reverse (22031130130131), we get a palindrome (153062161260351).

The spelling of 131031031130220 in words is "one hundred thirty-one trillion, thirty-one billion, thirty-one million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 5479 10958 16437 21916 27395 32874 54790 65748 71227 82185 109580 142454 164370 213681 284908 328740 356135 427362 712270 854724 1068405 1424540 2136810 4273620 30660431 61320862 91981293 122641724 153302155 183962586 306604310 367925172 398585603 459906465 613208620 797171206 919812930 1195756809 1594342412 1839625860 1992928015 2391513618 3985856030 4783027236 5978784045 7971712060 11957568090 23915136180 167988501449 335977002898 503965504347 671954005796 839942507245 1007931008694 1679885014490 2015862017388 2183850518837 2519827521735 3359770028980 4367701037674 5039655043470 6551551556511 8735402075348 10079310086940 10919252594185 13103103113022 21838505188370 26206206226044 32757757782555 43677010376740 65515515565110 131031031130220