22313312100 has 54 divisors (see below), whose sum is σ = 69939839970. Its totient is φ = 5950216320.

The previous prime is 22313312041. The next prime is 22313312113. The reversal of 22313312100 is 121331322.

22313312100 is a `hidden beast` number, since 2 + 231 + 331 + 2 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6208179264 + 16105132836 = 78792^2 + 126906^2 .

It is a super-3 number, since 3×22313312100³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 12395385 + ... + 12397184.

Almost surely, 2^22313312100 is an apocalyptic number.

22313312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22313312100 is an abundant number, since it is smaller than the sum of its proper divisors (47626527870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22313312100 is a wasteful number, since it uses less digits than its factorization.

22313312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24792589 (or 24792579 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22313312100 its reverse (121331322), we get a palindrome (22434643422).

The spelling of 22313312100 in words is "twenty-two billion, three hundred thirteen million, three hundred twelve thousand, one hundred".