312443314100 has 36 divisors (see below), whose sum is σ = 678036438828. Its totient is φ = 124970976000.

The previous prime is 312443314097. The next prime is 312443314129. The reversal of 312443314100 is 1413344213.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 142867368484 + 169575945616 = 377978^2 + 411796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312443314100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2234240 + ... + 2369960.

It is an arithmetic number, because the mean of its divisors is an integer number (18834345523).

Almost surely, 2^312443314100 is an apocalyptic number.

It is an amenable number.

312443314100 is an abundant number, since it is smaller than the sum of its proper divisors (365593124728).

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

312443314100 is a wasteful number, since it uses less digits than its factorization.

312443314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158756 (or 158749 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 312443314100 its reverse (1413344213), we get a palindrome (313856658313).

The spelling of 312443314100 in words is "three hundred twelve billion, four hundred forty-three million, three hundred fourteen thousand, one hundred".