311145205400 has 48 divisors (see below), whose sum is σ = 723977044200. Its totient is φ = 124360974080.

The previous prime is 311145205373. The next prime is 311145205403. The reversal of 311145205400 is 4502541113.

It is a super-2 number, since 2×311145205400² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311145205400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311145205403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 349685 + ... + 862884.

Almost surely, 2^311145205400 is an apocalyptic number.

It is an amenable number.

311145205400 is an abundant number, since it is smaller than the sum of its proper divisors (412831838800).

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

311145205400 is a wasteful number, since it uses less digits than its factorization.

311145205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213868 (or 1213859 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 311145205400 its reverse (4502541113), we get a palindrome (315647746513).

The spelling of 311145205400 in words is "three hundred eleven billion, one hundred forty-five million, two hundred five thousand, four hundred".