34322242131 has 64 divisors (see below), whose sum is σ = 55543726080. Its totient is φ = 20881476000.

The previous prime is 34322242093. The next prime is 34322242147. The reversal of 34322242131 is 13124222343.

34322242131 is a `hidden beast` number, since 3 + 432 + 224 + 2 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 34322242131 - 2²¹ = 34320144979 is a prime.

It is a super-2 number, since 2×34322242131² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34322242095 and 34322242104.

It is not an unprimeable number, because it can be changed into a prime (34322242151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1354266 + ... + 1379376.

It is an arithmetic number, because the mean of its divisors is an integer number (867870720).

Almost surely, 2^34322242131 is an apocalyptic number.

34322242131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34322242131 is a deficient number, since it is larger than the sum of its proper divisors (21221483949).

34322242131 is a wasteful number, since it uses less digits than its factorization.

34322242131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25245 (or 25239 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 34322242131 its reverse (13124222343), we get a palindrome (47446464474).

The spelling of 34322242131 in words is "thirty-four billion, three hundred twenty-two million, two hundred forty-two thousand, one hundred thirty-one".