31233492900 has 243 divisors, whose sum is σ = 100966272771. Its totient is φ = 8075854080.

The previous prime is 31233492889. The next prime is 31233492929. The reversal of 31233492900 is 929433213.

The square root of 31233492900 is 176730.

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

31233492900 is a `hidden beast` number, since 3 + 1 + 23 + 349 + 290 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91126116 + 31142366784 = 9546^2 + 176472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 80 ways as a sum of consecutive naturals, for example, 227981632 + ... + 227981768.

Almost surely, 2^31233492900 is an apocalyptic number.

31233492900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31233492900 is the 176730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31233492900

31233492900 is an abundant number, since it is smaller than the sum of its proper divisors (69732779871).

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

31233492900 is a wasteful number, since it uses less digits than its factorization.

31233492900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Multiplying 31233492900 by its sum of digits (36), we get a square (1124405744400 = 1060380²).

31233492900 divided by its sum of digits (36) gives a square (867597025 = 29455²).

The spelling of 31233492900 in words is "thirty-one billion, two hundred thirty-three million, four hundred ninety-two thousand, nine hundred".