34122355052031 has 16 divisors (see below), whose sum is σ = 50552242842720. Its totient is φ = 22747964123520.

The previous prime is 34122355052021. The next prime is 34122355052039. The reversal of 34122355052031 is 13025055322143.

34122355052031 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 23 + 550 + 52 + 0 + 31 = 666.

It is not a de Polignac number, because 34122355052031 - 2⁷ = 34122355051903 is a prime.

It is a super-2 number, since 2×34122355052031² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122355052039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5263780 + ... + 9795513.

It is an arithmetic number, because the mean of its divisors is an integer number (3159515177670).

Almost surely, 2^{34122355052031} is an apocalyptic number.

34122355052031 is a deficient number, since it is larger than the sum of its proper divisors (16429887790689).

34122355052031 is a wasteful number, since it uses less digits than its factorization.

34122355052031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15143223 (or 15143217 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 34122355052031 in words is "thirty-four trillion, one hundred twenty-two billion, three hundred fifty-five million, fifty-two thousand, thirty-one".