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13133431332 = 22327192742989
BaseRepresentation
bin11000011101101000…
…00100001000100100
31020220021212102211200
430032310010020210
5203344124300312
610011115002500
7643313216160
oct141664041044
936807772750
1013133431332
11562a53038a
122666439430
131313c1c258
148c837dca0
1551d00c0dc
hex30ed04224

13133431332 has 72 divisors (see below), whose sum is σ = 39937934400. Its totient is φ = 3554912448.

The previous prime is 13133431253. The next prime is 13133431361. The reversal of 13133431332 is 23313433131.

13133431332 is a `hidden beast` number, since 1 + 313 + 3 + 4 + 313 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13133431296 and 13133431305.

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, 1366707 + ... + 1376282.

Almost surely, 213133431332 is an apocalyptic number.

13133431332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13133431332 is an abundant number, since it is smaller than the sum of its proper divisors (26804503068).

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

13133431332 is a wasteful number, since it uses less digits than its factorization.

13133431332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743025 (or 2743020 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 13133431332 its reverse (23313433131), we get a palindrome (36446864463).

The spelling of 13133431332 in words is "thirteen billion, one hundred thirty-three million, four hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 2742989 5485978 8228967 10971956 16457934 19200923 24686901 32915868 38401846 49373802 52116791 57602769 76803692 98747604 104233582 115205538 156350373 172808307 208467164 230411076 312700746 345616614 364817537 469051119 625401492 691233228 729635074 938102238 1094452611 1459270148 1876204476 2188905222 3283357833 4377810444 6566715666 13133431332