Search a number
-
+
31566542112 = 2532731505097
BaseRepresentation
bin11101011001100000…
…110011010100100000
310000110221000111011100
4131121200303110200
51004122013321422
622300152314400
72165151116010
oct353140632440
9100427014140
1031566542112
1112429543336
12614b6a2a00
132c90ab4cb1
14175650dc40
15c4b4197ac
hex759833520

31566542112 has 144 divisors (see below), whose sum is σ = 105900867072. Its totient is φ = 8728058880.

The previous prime is 31566542087. The next prime is 31566542113. The reversal of 31566542112 is 21124566513.

31566542112 is a `hidden beast` number, since 31 + 566 + 54 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31566542113) 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, 190053 + ... + 315044.

It is an arithmetic number, because the mean of its divisors is an integer number (735422688).

Almost surely, 231566542112 is an apocalyptic number.

31566542112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31566542112 is an abundant number, since it is smaller than the sum of its proper divisors (74334324960).

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

31566542112 is a wasteful number, since it uses less digits than its factorization.

31566542112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505151 (or 505140 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 31566542112 in words is "thirty-one billion, five hundred sixty-six million, five hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6944 7812 8928 10416 15624 20832 31248 62496 505097 1010194 1515291 2020388 3030582 3535679 4040776 4545873 6061164 7071358 8081552 9091746 10607037 12122328 14142716 15658007 16163104 18183492 21214074 24244656 28285432 31316014 31821111 36366984 42428148 46974021 48489312 56570864 62632028 63642222 72733968 84856296 93948042 109606049 113141728 125264056 127284444 140922063 145467936 169712592 187896084 219212098 250528112 254568888 281844126 328818147 339425184 375792168 438424196 501056224 509137776 563688252 657636294 751584336 876848392 986454441 1018275552 1127376504 1315272588 1503168672 1753696784 1972908882 2254753008 2630545176 3507393568 3945817764 4509506016 5261090352 7891635528 10522180704 15783271056 31566542112