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1310381915688 = 233329712041933
BaseRepresentation
bin10011000100011000110…
…110010011111000101000
311122021022202202102012000
4103010120312103320220
5132432130232300223
62441551532051000
7163446325335216
oct23043066237050
94567282672160
101310381915688
114658034800aa
12191b64303a60
1396750c63a11
14475cc325cb6
15241455c3543
hex13118d93e28

1310381915688 has 64 divisors (see below), whose sum is σ = 3641176708800. Its totient is φ = 436646738880.

The previous prime is 1310381915629. The next prime is 1310381915699. The reversal of 1310381915688 is 8865191830131.

It is a happy number.

1310381915688 is a `hidden beast` number, since 1 + 31 + 0 + 38 + 19 + 1 + 568 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379231 + ... + 1662702.

It is an arithmetic number, because the mean of its divisors is an integer number (56893386075).

Almost surely, 21310381915688 is an apocalyptic number.

1310381915688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1310381915688 is an abundant number, since it is smaller than the sum of its proper divisors (2330794793112).

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

1310381915688 is a wasteful number, since it uses less digits than its factorization.

1310381915688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044919 (or 2044909 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 1310381915688 in words is "one trillion, three hundred ten billion, three hundred eighty-one million, nine hundred fifteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2971 5942 8913 11884 17826 23768 26739 35652 53478 71304 80217 106956 160434 213912 320868 641736 2041933 4083866 6125799 8167732 12251598 16335464 18377397 24503196 36754794 49006392 55132191 73509588 110264382 147019176 220528764 441057528 6066582943 12133165886 18199748829 24266331772 36399497658 48532663544 54599246487 72798995316 109198492974 145597990632 163797739461 218396985948 327595478922 436793971896 655190957844 1310381915688