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316131816 = 2337111313159
BaseRepresentation
bin10010110101111…
…100100111101000
3211000212011022210
4102311330213220
51121412204231
651211445120
710556035050
oct2265744750
9730764283
10316131816
111524a2570
1289a567a0
1350658660
142ddb2560
151cb48a46
hex12d7c9e8

316131816 has 128 divisors (see below), whose sum is σ = 1061222400. Its totient is φ = 75790080.

The previous prime is 316131793. The next prime is 316131833. The reversal of 316131816 is 618131613.

316131816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 17445 + ... + 30603.

It is an arithmetic number, because the mean of its divisors is an integer number (8290800).

Almost surely, 2316131816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316131816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530611200).

316131816 is an abundant number, since it is smaller than the sum of its proper divisors (745090584).

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

316131816 is a wasteful number, since it uses less digits than its factorization.

316131816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13199 (or 13195 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 316131816 is about 17780.0960627326. The cubic root of 316131816 is about 681.2231560727.

The spelling of 316131816 in words is "three hundred sixteen million, one hundred thirty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 13159 24024 26318 39477 52636 78954 92113 105272 144749 157908 171067 184226 276339 289498 315816 342134 368452 434247 513201 552678 578996 684268 736904 868494 1013243 1026402 1105356 1157992 1197469 1368536 1736988 1881737 2026486 2052804 2210712 2394938 3039729 3473976 3592407 3763474 4052972 4105608 4789876 5645211 6079458 7184814 7526948 8105944 9579752 11290422 12158916 13172159 14369628 15053896 22580844 24317832 26344318 28739256 39516477 45161688 52688636 79032954 105377272 158065908 316131816