10234413306 has 24 divisors (see below), whose sum is σ = 23880298260. Its totient is φ = 3149050176.

The previous prime is 10234413281. The next prime is 10234413311. The reversal of 10234413306 is 60331443201.

10234413306 is a `hidden beast` number, since 1 + 0 + 2 + 344 + 13 + 306 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9160212681 + 1074200625 = 95709^2 + 32775^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10234413306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21868171 + ... + 21868638.

Almost surely, 2^10234413306 is an apocalyptic number.

10234413306 is an abundant number, since it is smaller than the sum of its proper divisors (13645884954).

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

10234413306 is a wasteful number, since it uses less digits than its factorization.

10234413306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43736830 (or 43736827 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10234413306 its reverse (60331443201), we get a palindrome (70565856507).

The spelling of 10234413306 in words is "ten billion, two hundred thirty-four million, four hundred thirteen thousand, three hundred six".