232211130100 has 72 divisors (see below), whose sum is σ = 521300056536. Its totient is φ = 89721600000.

The previous prime is 232211130083. The next prime is 232211130101. The reversal of 232211130100 is 1031112232.

232211130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 13624959076 + 218586171024 = 116726^2 + 467532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232211130101) 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 23 ways as a sum of consecutive naturals, for example, 133720 + ... + 694480.

It is an arithmetic number, because the mean of its divisors is an integer number (7240278563).

Almost surely, 2^232211130100 is an apocalyptic number.

232211130100 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 232211130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260650028268).

232211130100 is an abundant number, since it is smaller than the sum of its proper divisors (289088926436).

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

232211130100 is a wasteful number, since it uses less digits than its factorization.

232211130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560917 (or 560910 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 232211130100 its reverse (1031112232), we get a palindrome (233242242332).

The spelling of 232211130100 in words is "two hundred thirty-two billion, two hundred eleven million, one hundred thirty thousand, one hundred".