10022113431 has 48 divisors (see below), whose sum is σ = 16246863360. Its totient is φ = 5900496000.

The previous prime is 10022113379. The next prime is 10022113441. The reversal of 10022113431 is 13431122001.

10022113431 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 13 + 431 = 666.

10022113431 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 10022113431 - 2¹⁴ = 10022097047 is a prime.

It is a super-2 number, since 2×10022113431² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022113441) 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 47 ways as a sum of consecutive naturals, for example, 964936 + ... + 975266.

It is an arithmetic number, because the mean of its divisors is an integer number (338476320).

Almost surely, 2^10022113431 is an apocalyptic number.

10022113431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10022113431 is a deficient number, since it is larger than the sum of its proper divisors (6224749929).

10022113431 is a wasteful number, since it uses less digits than its factorization.

10022113431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10628 (or 10625 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10022113431 its reverse (13431122001), we get a palindrome (23453235432).

The spelling of 10022113431 in words is "ten billion, twenty-two million, one hundred thirteen thousand, four hundred thirty-one".