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13431140121 = 3710923924551
BaseRepresentation
bin11001000001000111…
…01110111100011001
31021200001001121112010
430200203232330121
5210001332440441
610100431540133
7653556543630
oct144043567431
937601047463
1013431140121
11577258a403
12272a08a649
1313607c71b9
14915b18517
15539217116
hex3208eef19

13431140121 has 32 divisors (see below), whose sum is σ = 20741529600. Its totient is φ = 7572398400.

The previous prime is 13431140117. The next prime is 13431140153. The reversal of 13431140121 is 12104113431.

13431140121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13431140121 - 22 = 13431140117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13431140101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 534796 + ... + 559346.

It is an arithmetic number, because the mean of its divisors is an integer number (648172800).

Almost surely, 213431140121 is an apocalyptic number.

It is an amenable number.

13431140121 is a deficient number, since it is larger than the sum of its proper divisors (7310389479).

13431140121 is a wasteful number, since it uses less digits than its factorization.

13431140121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24909.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13431140121 its reverse (12104113431), we get a palindrome (25535253552).

The spelling of 13431140121 in words is "thirteen billion, four hundred thirty-one million, one hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 7 21 109 239 327 717 763 1673 2289 5019 24551 26051 73653 78153 171857 182357 515571 547071 2676059 5867689 8028177 17603067 18732413 41073823 56197239 123221469 639578101 1918734303 4477046707 13431140121