31155072200 has 108 divisors (see below), whose sum is σ = 84309038865. Its totient is φ = 10675748160.

The previous prime is 31155072133. The next prime is 31155072227. The reversal of 31155072200 is 227055113.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 30531970756 + 623101444 = 174734^2 + 24962^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=124810.

It is a self number, because there is not a number n which added to its sum of digits gives 31155072200.

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, 17472509 + ... + 17474291.

Almost surely, 2^31155072200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31155072200

31155072200 is an abundant number, since it is smaller than the sum of its proper divisors (53153966665).

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

31155072200 is an equidigital number, since it uses as much as digits as its factorization.

31155072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The spelling of 31155072200 in words is "thirty-one billion, one hundred fifty-five million, seventy-two thousand, two hundred".