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13131142112 = 251137304381
BaseRepresentation
bin11000011101010110…
…10101001111100000
31020220010120010121202
430032223111033200
5203343033021422
610010553540332
7643254603104
oct141653251740
936803503552
1013131142112
115629207470
1226657146a8
1313135ca29a
148c7d45904
1551cc08b92
hex30ead53e0

13131142112 has 24 divisors (see below), whose sum is σ = 28202112792. Its totient is φ = 5968700800.

The previous prime is 13131142109. The next prime is 13131142139. The reversal of 13131142112 is 21124113131.

13131142112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 18651839 + ... + 18652542.

It is an arithmetic number, because the mean of its divisors is an integer number (1175088033).

Almost surely, 213131142112 is an apocalyptic number.

It is an amenable number.

13131142112 is an abundant number, since it is smaller than the sum of its proper divisors (15070970680).

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

13131142112 is a wasteful number, since it uses less digits than its factorization.

13131142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37304402 (or 37304394 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

Adding to 13131142112 its reverse (21124113131), we get a palindrome (34255255243).

The spelling of 13131142112 in words is "thirteen billion, one hundred thirty-one million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 37304381 74608762 149217524 298435048 410348191 596870096 820696382 1193740192 1641392764 3282785528 6565571056 13131142112