31015442100 has 144 divisors (see below), whose sum is σ = 90854184960. Its totient is φ = 8168534400.

The previous prime is 31015442099. The next prime is 31015442111. The reversal of 31015442100 is 124451013.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8762131 + ... + 8765669.

It is an arithmetic number, because the mean of its divisors is an integer number (630931840).

Almost surely, 2^31015442100 is an apocalyptic number.

31015442100 is a gapful number since it is divisible by the number (30) 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 31015442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45427092480).

31015442100 is an abundant number, since it is smaller than the sum of its proper divisors (59838742860).

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

31015442100 is a wasteful number, since it uses less digits than its factorization.

31015442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 31015442100 its reverse (124451013), we get a palindrome (31139893113).

The spelling of 31015442100 in words is "thirty-one billion, fifteen million, four hundred forty-two thousand, one hundred".