31022415872 has 144 divisors (see below), whose sum is σ = 72696468195. Its totient is φ = 13199671296.

The previous prime is 31022415871. The next prime is 31022415917. The reversal of 31022415872 is 27851422013.

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 only one way, i.e., 15511207936 + 15511207936 = 124544^2 + 124544^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=124544.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31022415871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 223182779 + ... + 223182917.

Almost surely, 2^31022415872 is an apocalyptic number.

31022415872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31022415872

31022415872 is an abundant number, since it is smaller than the sum of its proper divisors (41674052323).

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

31022415872 is an frugal number, since it uses more digits than its factorization.

31022415872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

Adding to 31022415872 its reverse (27851422013), we get a palindrome (58873837885).

The spelling of 31022415872 in words is "thirty-one billion, twenty-two million, four hundred fifteen thousand, eight hundred seventy-two".