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31213114400988 = 223213409163067699
BaseRepresentation
bin1110001100011010111101…
…00110001010000011011100
311002111221111121110110120200
413012031132212022003130
513042343424241312423
6150215035022543500
76401034033561402
oct706153646120334
9132457447413520
1031213114400988
119a4445339a773
123601388a37b90
1314554cba12230
1479ca194dd472
15391dd0eb2d43
hex1c635e98a0dc

31213114400988 has 72 divisors (see below), whose sum is σ = 85176782418000. Its totient is φ = 9580553392896.

The previous prime is 31213114400959. The next prime is 31213114400989. The reversal of 31213114400988 is 88900441131213.

31213114400988 is a `hidden beast` number, since 3 + 12 + 131 + 14 + 400 + 98 + 8 = 666.

It is a super-2 number, since 2×312131144009882 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213114400989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81342438 + ... + 81725261.

Almost surely, 231213114400988 is an apocalyptic number.

It is an amenable number.

31213114400988 is an abundant number, since it is smaller than the sum of its proper divisors (53963668017012).

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

31213114400988 is a wasteful number, since it uses less digits than its factorization.

31213114400988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163068131 (or 163068126 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 31213114400988 in words is "thirty-one trillion, two hundred thirteen billion, one hundred fourteen million, four hundred thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 409 468 818 1227 1636 2454 3681 4908 5317 7362 10634 14724 15951 21268 31902 47853 63804 95706 191412 163067699 326135398 489203097 652270796 978406194 1467609291 1956812388 2119880087 2935218582 4239760174 5870437164 6359640261 8479520348 12719280522 19078920783 25438561044 38157841566 66694688891 76315683132 133389377782 200084066673 266778755564 400168133346 600252200019 800336266692 867030955583 1200504400038 1734061911166 2401008800076 2601092866749 3468123822332 5202185733498 7803278600247 10404371466996 15606557200494 31213114400988