3031131200 has 84 divisors (see below), whose sum is σ = 7532725092. Its totient is φ = 1200384000.

The previous prime is 3031131163. The next prime is 3031131217. The reversal of 3031131200 is 21311303.

It can be written as a sum of positive squares in 6 ways, for example, as 121176064 + 2909955136 = 11008^2 + 53944^2 .

It is a super-2 number, since 2×3031131200² = 18375512703226880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152222 + ... + 170978.

Almost surely, 2^3031131200 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 3031131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766362546).

3031131200 is an abundant number, since it is smaller than the sum of its proper divisors (4501593892).

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

3031131200 is a wasteful number, since it uses less digits than its factorization.

3031131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18880 (or 18865 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3031131200 is about 55055.7099672686. The cubic root of 3031131200 is about 1447.2211861434.

Adding to 3031131200 its reverse (21311303), we get a palindrome (3052442503).

The spelling of 3031131200 in words is "three billion, thirty-one million, one hundred thirty-one thousand, two hundred".