10111304520 has 160 divisors (see below), whose sum is σ = 34025020920. Its totient is φ = 2693191680.

The previous prime is 10111304501. The next prime is 10111304521. The reversal of 10111304520 is 2540311101.

10111304520 is a `hidden beast` number, since 1 + 0 + 11 + 130 + 4 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5390790084 + 4720514436 = 73422^2 + 68706^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10111304493 and 10111304502.

It is not an unprimeable number, because it can be changed into a prime (10111304521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4408494 + ... + 4410786.

Almost surely, 2^10111304520 is an apocalyptic number.

10111304520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111304520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17012510460).

10111304520 is an abundant number, since it is smaller than the sum of its proper divisors (23913716400).

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

10111304520 is a wasteful number, since it uses less digits than its factorization.

10111304520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10111304520 its reverse (2540311101), we get a palindrome (12651615621).

The spelling of 10111304520 in words is "ten billion, one hundred eleven million, three hundred four thousand, five hundred twenty".