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10031322131 = 591031650703
BaseRepresentation
bin10010101011110100…
…11101010000010011
3221220002200222000022
421111322131100103
5131021004302011
64335222014055
7503404555055
oct112572352023
927802628008
1010031322131
114288468876
121b3b57732b
13c3b33618c
146b23978d5
153da9e88db
hex255e9d413

10031322131 has 8 divisors (see below), whose sum is σ = 10300392960. Its totient is φ = 9765553032.

The previous prime is 10031322127. The next prime is 10031322151. The reversal of 10031322131 is 13122313001.

10031322131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10031322131 - 22 = 10031322127 is a prime.

It is a super-2 number, since 2×100313221312 (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 (10031322151) 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 7 ways as a sum of consecutive naturals, for example, 819275 + ... + 831428.

It is an arithmetic number, because the mean of its divisors is an integer number (1287549120).

Almost surely, 210031322131 is an apocalyptic number.

10031322131 is a deficient number, since it is larger than the sum of its proper divisors (269070829).

10031322131 is a wasteful number, since it uses less digits than its factorization.

10031322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650865.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10031322131 its reverse (13122313001), we get a palindrome (23153635132).

The spelling of 10031322131 in words is "ten billion, thirty-one million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 59 103 6077 1650703 97391477 170022409 10031322131