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13531015032 = 233659855527
BaseRepresentation
bin11001001101000001…
…01110011101111000
31021220222222210010220
430212200232131320
5210202414440112
610114400340040
7656211505263
oct144640563570
937828883126
1013531015032
1158139a5957
122757614620
1313783c5a92
149250b5cda
15542d9498c
hex32682e778

13531015032 has 32 divisors (see below), whose sum is σ = 33878908800. Its totient is φ = 4503488864.

The previous prime is 13531015027. The next prime is 13531015049. The reversal of 13531015032 is 23051013531.

13531015032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135310150322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13531014993 and 13531015011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411948 + ... + 443579.

It is an arithmetic number, because the mean of its divisors is an integer number (1058715900).

Almost surely, 213531015032 is an apocalyptic number.

13531015032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13531015032 is an abundant number, since it is smaller than the sum of its proper divisors (20347893768).

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

13531015032 is a wasteful number, since it uses less digits than its factorization.

13531015032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856195 (or 856191 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 13531015032 its reverse (23051013531), we get a palindrome (36582028563).

The spelling of 13531015032 in words is "thirteen billion, five hundred thirty-one million, fifteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 659 1318 1977 2636 3954 5272 7908 15816 855527 1711054 2566581 3422108 5133162 6844216 10266324 20532648 563792293 1127584586 1691376879 2255169172 3382753758 4510338344 6765507516 13531015032