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32313213131 = 174770957041
BaseRepresentation
bin11110000110000001…
…001000000011001011
310002101222000022020112
4132012001020003023
51012134140310011
622502224144535
72222515531313
oct360601100313
9102358008215
1032313213131
1112781a6a321
12631976814b
13307c6b5474
1417c7756443
15c91c5a58b
hex7860480cb

32313213131 has 16 divisors (see below), whose sum is σ = 34991844480. Its totient is φ = 29722859520.

The previous prime is 32313213089. The next prime is 32313213137. The reversal of 32313213131 is 13131231323.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32313213131 is a prime.

It is a super-2 number, since 2×323132131312 (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 = 32313213097 and 32313213106.

It is not an unprimeable number, because it can be changed into a prime (32313213137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537971 + ... + 595011.

It is an arithmetic number, because the mean of its divisors is an integer number (2186990280).

Almost surely, 232313213131 is an apocalyptic number.

32313213131 is a deficient number, since it is larger than the sum of its proper divisors (2678631349).

32313213131 is a wasteful number, since it uses less digits than its factorization.

32313213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57814.

The product of its digits is 972, while the sum is 23.

Adding to 32313213131 its reverse (13131231323), we get a palindrome (45444444454).

The spelling of 32313213131 in words is "thirty-two billion, three hundred thirteen million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 17 47 709 799 12053 33323 57041 566491 969697 2680927 40442069 45575759 687515173 1900777243 32313213131