312009340293 has 108 divisors (see below), whose sum is σ = 552413342208. Its totient is φ = 169180371360.

The previous prime is 312009340261. The next prime is 312009340367. The reversal of 312009340293 is 392043900213.

312009340293 is a `hidden beast` number, since 3 + 1 + 20 + 0 + 9 + 340 + 293 = 666.

It is not a de Polignac number, because 312009340293 - 2⁵ = 312009340261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312009340193) 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 107 ways as a sum of consecutive naturals, for example, 29622438 + ... + 29632968.

Almost surely, 2^312009340293 is an apocalyptic number.

It is an amenable number.

312009340293 is a deficient number, since it is larger than the sum of its proper divisors (240404001915).

312009340293 is a wasteful number, since it uses less digits than its factorization.

312009340293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10724 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 312009340293 in words is "three hundred twelve billion, nine million, three hundred forty thousand, two hundred ninety-three".