31012000 has 48 divisors (see below), whose sum is σ = 76206312. Its totient is φ = 12403200.

The previous prime is 31011983. The next prime is 31012001. The reversal of 31012000 is 21013.

It can be written as a sum of positive squares in 4 ways, for example, as 19963024 + 11048976 = 4468^2 + 3324^2 .

It is not an unprimeable number, because it can be changed into a prime (31012001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 124 + ... + 7876.

Almost surely, 2^31012000 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 31012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38103156).

31012000 is an abundant number, since it is smaller than the sum of its proper divisors (45194312).

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

31012000 is an equidigital number, since it uses as much as digits as its factorization.

31012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 31012000 is about 5568.8418903754. The cubic root of 31012000 is about 314.1785939540.

Adding to 31012000 its reverse (21013), we get a palindrome (31033013).

The spelling of 31012000 in words is "thirty-one million, twelve thousand".