23034132900 has 81 divisors (see below), whose sum is σ = 72213484161. Its totient is φ = 6141221280.

The previous prime is 23034132871. The next prime is 23034132907. The reversal of 23034132900 is 923143032.

It is a happy number.

The square root of 23034132900 is 151770.

It is a perfect power (a square), and thus also a powerful number.

23034132900 is a `hidden beast` number, since 2 + 30 + 341 + 3 + 290 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8292287844 + 14741845056 = 91062^2 + 121416^2 .

It is not an unprimeable number, because it can be changed into a prime (23034132907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4550571 + ... + 4555629.

Almost surely, 2^23034132900 is an apocalyptic number.

23034132900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23034132900 is the 151770-th square number.

It is an amenable number.

23034132900 is an abundant number, since it is smaller than the sum of its proper divisors (49179351261).

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

23034132900 is an equidigital number, since it uses as much as digits as its factorization.

23034132900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10138 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 23034132900 its reverse (923143032), we get a palindrome (23957275932).

The spelling of 23034132900 in words is "twenty-three billion, thirty-four million, one hundred thirty-two thousand, nine hundred".