31000644900 has 81 divisors (see below), whose sum is σ = 97186358451. Its totient is φ = 8265430080.

The previous prime is 31000644887. The next prime is 31000644919. The reversal of 31000644900 is 944600013.

The square root of 31000644900 is 176070.

It is a perfect power (a square), and thus also a powerful number.

31000644900 is a `hidden beast` number, since 3 + 10 + 0 + 0 + 644 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10236987684 + 20763657216 = 101178^2 + 144096^2 .

It is a super-2 number, since 2×31000644900² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 5279166 + ... + 5285034.

Almost surely, 2^31000644900 is an apocalyptic number.

31000644900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31000644900 is the 176070-th square number.

It is an amenable number.

31000644900 is an abundant number, since it is smaller than the sum of its proper divisors (66185713551).

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

31000644900 is an equidigital number, since it uses as much as digits as its factorization.

31000644900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11758 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 31000644900 in words is "thirty-one billion, six hundred forty-four thousand, nine hundred".