312003003400100 has 36 divisors (see below), whose sum is σ = 678832919881200. Its totient is φ = 124471910576160.

The previous prime is 312003003400021. The next prime is 312003003400159. The reversal of 312003003400100 is 1004300300213.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4116096710 + ... + 4116172509.

It is an arithmetic number, because the mean of its divisors is an integer number (18856469996700).

Almost surely, 2^{312003003400100} is an apocalyptic number.

It is an amenable number.

312003003400100 is an abundant number, since it is smaller than the sum of its proper divisors (366829916481100).

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

312003003400100 is a wasteful number, since it uses less digits than its factorization.

312003003400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232269612 (or 8232269605 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 312003003400100 its reverse (1004300300213), we get a palindrome (313007303700313).

The spelling of 312003003400100 in words is "three hundred twelve trillion, three billion, three million, four hundred thousand, one hundred".