311431142200 has 96 divisors (see below), whose sum is σ = 728147145600. Its totient is φ = 123874162560.

The previous prime is 311431142179. The next prime is 311431142227. The reversal of 311431142200 is 2241134113.

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 23 ways as a sum of consecutive naturals, for example, 28464331 + ... + 28475269.

It is an arithmetic number, because the mean of its divisors is an integer number (7584866100).

Almost surely, 2^311431142200 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 311431142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364073572800).

311431142200 is an abundant number, since it is smaller than the sum of its proper divisors (416716003400).

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

311431142200 is a wasteful number, since it uses less digits than its factorization.

311431142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11741 (or 11732 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 311431142200 its reverse (2241134113), we get a palindrome (313672276313).

The spelling of 311431142200 in words is "three hundred eleven billion, four hundred thirty-one million, one hundred forty-two thousand, two hundred".