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13043431332 = 2232677535181
BaseRepresentation
bin11000010010111001…
…01111011110100100
31020200000111222001100
430021130233132210
5203203104300312
65554142000100
7641141223411
oct141134573644
936600458040
1013043431332
11559374a018
122640276030
1312cb39a309
148ba433108
155151805dc
hex30972f7a4

13043431332 has 36 divisors (see below), whose sum is σ = 33019659036. Its totient is φ = 4341380160.

The previous prime is 13043431321. The next prime is 13043431363. The reversal of 13043431332 is 23313434031.

13043431332 is a `hidden beast` number, since 1 + 304 + 343 + 13 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9353597796 + 3689833536 = 96714^2 + 60744^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×130434313322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13043431296 and 13043431305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243219 + ... + 291962.

It is an arithmetic number, because the mean of its divisors is an integer number (917212751).

Almost surely, 213043431332 is an apocalyptic number.

13043431332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13043431332 is an abundant number, since it is smaller than the sum of its proper divisors (19976227704).

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

13043431332 is a wasteful number, since it uses less digits than its factorization.

13043431332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535868 (or 535863 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13043431332 its reverse (23313434031), we get a palindrome (36356865363).

The spelling of 13043431332 in words is "thirteen billion, forty-three million, four hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 677 1354 2031 2708 4062 6093 8124 12186 24372 535181 1070362 1605543 2140724 3211086 4816629 6422172 9633258 19266516 362317537 724635074 1086952611 1449270148 2173905222 3260857833 4347810444 6521715666 13043431332