10034726130 has 96 divisors (see below), whose sum is σ = 30651566400. Its totient is φ = 2245530240.

The previous prime is 10034726129. The next prime is 10034726137. The reversal of 10034726130 is 3162743001.

10034726130 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 47 + 2 + 613 + 0 = 666.

10034726130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10034726094 and 10034726103.

It is not an unprimeable number, because it can be changed into a prime (10034726137) 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 47 ways as a sum of consecutive naturals, for example, 376980 + ... + 402719.

It is an arithmetic number, because the mean of its divisors is an integer number (319287150).

Almost surely, 2^10034726130 is an apocalyptic number.

10034726130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10034726130 is an abundant number, since it is smaller than the sum of its proper divisors (20616840270).

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

10034726130 is a wasteful number, since it uses less digits than its factorization.

10034726130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779736 (or 779733 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

It can be divided in two parts, 10034 and 726130, that added together give a square (736164 = 858²).

The spelling of 10034726130 in words is "ten billion, thirty-four million, seven hundred twenty-six thousand, one hundred thirty".