31012100 has 54 divisors (see below), whose sum is σ = 78295770. Its totient is φ = 10631040.

The previous prime is 31012099. The next prime is 31012117. The reversal of 31012100 is 121013.

It can be written as a sum of positive squares in 3 ways, for example, as 4468996 + 26543104 = 2114^2 + 5152^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1736 + ... + 8064.

Almost surely, 2^31012100 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 31012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39147885).

31012100 is an abundant number, since it is smaller than the sum of its proper divisors (47283670).

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

31012100 is a wasteful number, since it uses less digits than its factorization.

31012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 31012100 is about 5568.8508688957. The cubic root of 31012100 is about 314.1789316493.

Adding to 31012100 its reverse (121013), we get a palindrome (31133113).

The spelling of 31012100 in words is "thirty-one million, twelve thousand, one hundred".