311142340200 has 96 divisors (see below), whose sum is σ = 1021279008960. Its totient is φ = 78090624000.

The previous prime is 311142340199. The next prime is 311142340241. The reversal of 311142340200 is 2043241113.

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, 15241876 + ... + 15262275.

It is an arithmetic number, because the mean of its divisors is an integer number (10638323010).

Almost surely, 2^311142340200 is an apocalyptic number.

311142340200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311142340200 is an abundant number, since it is smaller than the sum of its proper divisors (710136668760).

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

311142340200 is a wasteful number, since it uses less digits than its factorization.

311142340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30504187 (or 30504178 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 311142340200 its reverse (2043241113), we get a palindrome (313185581313).

The spelling of 311142340200 in words is "three hundred eleven billion, one hundred forty-two million, three hundred forty thousand, two hundred".