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13121231112 = 23321171233341
BaseRepresentation
bin11000011100001011…
…00001100100001000
31020212102220121021200
430032011201210020
5203333013343422
610010001304200
7643104424053
oct141605414410
936772817250
1013121231112
115623658160
122662335060
13131153a0a2
148c68c5a9a
1551bdec2ac
hex30e161908

13121231112 has 96 divisors (see below), whose sum is σ = 39313460160. Its totient is φ = 3920112000.

The previous prime is 13121231099. The next prime is 13121231141. The reversal of 13121231112 is 21113212131.

13121231112 is a `hidden beast` number, since 131 + 212 + 311 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60439 + ... + 172902.

It is an arithmetic number, because the mean of its divisors is an integer number (409515210).

Almost surely, 213121231112 is an apocalyptic number.

13121231112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13121231112 is an abundant number, since it is smaller than the sum of its proper divisors (26192229048).

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

13121231112 is a wasteful number, since it uses less digits than its factorization.

13121231112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233435 (or 233428 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 13121231112 its reverse (21113212131), we get a palindrome (34234443243).

The spelling of 13121231112 in words is "thirteen billion, one hundred twenty-one million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 88 99 132 142 198 213 264 284 396 426 568 639 781 792 852 1278 1562 1704 2343 2556 3124 4686 5112 6248 7029 9372 14058 18744 28116 56232 233341 466682 700023 933364 1400046 1866728 2100069 2566751 2800092 4200138 5133502 5600184 7700253 8400276 10267004 15400506 16567211 16800552 20534008 23100759 30801012 33134422 46201518 49701633 61602024 66268844 92403036 99403266 132537688 149104899 182239321 184806072 198806532 298209798 364478642 397613064 546717963 596419596 728957284 1093435926 1192839192 1457914568 1640153889 2186871852 3280307778 4373743704 6560615556 13121231112