23120430100 has 72 divisors (see below), whose sum is σ = 53203704120. Its totient is φ = 8690872320.

The previous prime is 23120430071. The next prime is 23120430211. The reversal of 23120430100 is 103402132.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1302776836 + 21817653264 = 36094^2 + 147708^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1140856 + ... + 1160944.

It is an arithmetic number, because the mean of its divisors is an integer number (738940335).

Almost surely, 2^23120430100 is an apocalyptic number.

23120430100 is a gapful number since it is divisible by the number (20) 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 23120430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26601852060).

23120430100 is an abundant number, since it is smaller than the sum of its proper divisors (30083274020).

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

23120430100 is a wasteful number, since it uses less digits than its factorization.

23120430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20797 (or 20790 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23120430100 its reverse (103402132), we get a palindrome (23223832232).

The spelling of 23120430100 in words is "twenty-three billion, one hundred twenty million, four hundred thirty thousand, one hundred".