232023013100 has 72 divisors (see below), whose sum is σ = 515826078768. Its totient is φ = 90554630400.

The previous prime is 232023013081. The next prime is 232023013141. The reversal of 232023013100 is 1310320232.

232023013100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232023013100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 838367 + ... + 1080233.

It is an arithmetic number, because the mean of its divisors is an integer number (7164251094).

Almost surely, 2^232023013100 is an apocalyptic number.

232023013100 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 232023013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257913039384).

232023013100 is an abundant number, since it is smaller than the sum of its proper divisors (283803065668).

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

232023013100 is a wasteful number, since it uses less digits than its factorization.

232023013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242115 (or 242108 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 232023013100 its reverse (1310320232), we get a palindrome (233333333332).

The spelling of 232023013100 in words is "two hundred thirty-two billion, twenty-three million, thirteen thousand, one hundred".