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32053113131 = 1317618092939
BaseRepresentation
bin11101110110100000…
…111011000100101011
310001201211120212010012
4131312200323010223
51011121044110011
622420333242135
72213206652264
oct356640730453
9101654525105
1032053113131
1112659168346
12626663334b
13303a847840
1417a0dab96b
15c78ecda8b
hex77683b12b

32053113131 has 32 divisors (see below), whose sum is σ = 37206993600. Its totient is φ = 27347374080.

The previous prime is 32053113089. The next prime is 32053113133. The reversal of 32053113131 is 13131135023.

It is a de Polignac number, because none of the positive numbers 2k-32053113131 is a prime.

It is a super-2 number, since 2×320531131312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32053113097 and 32053113106.

It is not an unprimeable number, because it can be changed into a prime (32053113133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10904660 + ... + 10907598.

It is an arithmetic number, because the mean of its divisors is an integer number (1162718550).

Almost surely, 232053113131 is an apocalyptic number.

32053113131 is a deficient number, since it is larger than the sum of its proper divisors (5153880469).

32053113131 is a wasteful number, since it uses less digits than its factorization.

32053113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839.

The product of its (nonzero) digits is 810, while the sum is 23.

Adding to 32053113131 its reverse (13131135023), we get a palindrome (45184248154).

The spelling of 32053113131 in words is "thirty-two billion, fifty-three million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 13 17 61 221 793 809 1037 2939 10517 13481 13753 38207 49349 49963 178789 179279 641537 649519 838933 2330627 2377651 3047743 10906129 30909463 39620659 40420067 145036711 525460871 1885477243 2465624087 32053113131