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13523342131 = 13192310921839
BaseRepresentation
bin11001001100000110…
…11101001100110011
31021220110112221220101
430212003131030303
5210143433422011
610113524053231
7656056340305
oct144603351463
937813487811
1013523342131
11580a635112
122754b34217
13137693a4c0
14924079975
1554237b2c1
hex3260dd333

13523342131 has 32 divisors (see below), whose sum is σ = 16144128000. Its totient is φ = 11207611008.

The previous prime is 13523342123. The next prime is 13523342149. The reversal of 13523342131 is 13124332531.

13523342131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13523342131 - 23 = 13523342123 is a prime.

It is a super-2 number, since 2×135233421312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13523342131.

It is not an unprimeable number, because it can be changed into a prime (13523342111) 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, 608310 + ... + 630148.

It is an arithmetic number, because the mean of its divisors is an integer number (504504000).

Almost surely, 213523342131 is an apocalyptic number.

13523342131 is a deficient number, since it is larger than the sum of its proper divisors (2620785869).

13523342131 is a wasteful number, since it uses less digits than its factorization.

13523342131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22003.

The product of its digits is 6480, while the sum is 28.

Adding to 13523342131 its reverse (13124332531), we get a palindrome (26647674662).

The spelling of 13523342131 in words is "thirteen billion, five hundred twenty-three million, three hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 13 19 23 109 247 299 437 1417 2071 2507 5681 21839 26923 32591 47633 283907 414941 502297 619229 2380451 5394233 6529861 9543643 30945863 45228569 54750373 124067359 587971397 711754849 1040257087 13523342131