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13112111232 = 2732111034731
BaseRepresentation
bin11000011011000101…
…01111000010000000
31020211210202021011100
430031202233002000
5203323200024412
610005034014400
7642634051353
oct141542570200
936753667140
1013112111232
115619499270
12265b277400
13130c695ccc
148c55d029a
1551b1e9edc
hex30d8af080

13112111232 has 96 divisors (see below), whose sum is σ = 41161638960. Its totient is φ = 3973363200.

The previous prime is 13112111219. The next prime is 13112111249. The reversal of 13112111232 is 23211121131.

It is a tau number, because it is divible by the number of its divisors (96).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504694 + ... + 530037.

Almost surely, 213112111232 is an apocalyptic number.

13112111232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13112111232 is an abundant number, since it is smaller than the sum of its proper divisors (28049527728).

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

13112111232 is a wasteful number, since it uses less digits than its factorization.

13112111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034762 (or 1034747 counting only the distinct ones).

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

Adding to 13112111232 its reverse (23211121131), we get a palindrome (36323232363).

The spelling of 13112111232 in words is "thirteen billion, one hundred twelve million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 1034731 2069462 3104193 4138924 6208386 8277848 9312579 11382041 12416772 16555696 18625158 22764082 24833544 33111392 34146123 37250316 45528164 49667088 66222784 68292246 74500632 91056328 99334176 102438369 132445568 136584492 149001264 182112656 198668352 204876738 273168984 298002528 364225312 397336704 409753476 546337968 596005056 728450624 819506952 1092675936 1192010112 1456901248 1639013904 2185351872 3278027808 4370703744 6556055616 13112111232