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10002312131 = 72499340883
BaseRepresentation
bin10010101000010111…
…10010101111000011
3221211002010002202212
421110023302233003
5130441042442011
64332304132335
7502603151600
oct112413625703
927732102685
1010002312131
114273054169
121b319070ab
13c353199b6
146ac5a56a7
153d81b808b
hex2542f2bc3

10002312131 has 12 divisors (see below), whose sum is σ = 11637957672. Its totient is φ = 8571483648.

The previous prime is 10002312127. The next prime is 10002312137. The reversal of 10002312131 is 13121320001.

10002312131 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 10002312131 - 22 = 10002312127 is a prime.

It is a super-2 number, since 2×100023121312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002312137) 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 11 ways as a sum of consecutive naturals, for example, 224216 + ... + 265098.

It is an arithmetic number, because the mean of its divisors is an integer number (969829806).

Almost surely, 210002312131 is an apocalyptic number.

10002312131 is a deficient number, since it is larger than the sum of its proper divisors (1635645541).

10002312131 is an equidigital number, since it uses as much as digits as its factorization.

10002312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45890 (or 45883 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10002312131 its reverse (13121320001), we get a palindrome (23123632132).

The spelling of 10002312131 in words is "ten billion, two million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 7 49 4993 34951 40883 244657 286181 2003267 204128819 1428901733 10002312131