31431504200 has 96 divisors (see below), whose sum is σ = 73667784960. Its totient is φ = 12471513600.

The previous prime is 31431504199. The next prime is 31431504211. The reversal of 31431504200 is 240513413.

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 23 ways as a sum of consecutive naturals, for example, 30426884 + ... + 30427916.

It is an arithmetic number, because the mean of its divisors is an integer number (767372760).

Almost surely, 2^31431504200 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 31431504200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36833892480).

31431504200 is an abundant number, since it is smaller than the sum of its proper divisors (42236280760).

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

31431504200 is a wasteful number, since it uses less digits than its factorization.

31431504200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The spelling of 31431504200 in words is "thirty-one billion, four hundred thirty-one million, five hundred four thousand, two hundred".