232033011100 has 144 divisors (see below), whose sum is σ = 560655365760. Its totient is φ = 82639699200.

The previous prime is 232033011097. The next prime is 232033011121. The reversal of 232033011100 is 1110330232.

232033011100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 17970847 + ... + 17983753.

It is an arithmetic number, because the mean of its divisors is an integer number (3893440040).

Almost surely, 2^232033011100 is an apocalyptic number.

232033011100 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 232033011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280327682880).

232033011100 is an abundant number, since it is smaller than the sum of its proper divisors (328622354660).

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

232033011100 is a wasteful number, since it uses less digits than its factorization.

232033011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13268 (or 13261 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 232033011100 its reverse (1110330232), we get a palindrome (233143341332).

It can be divided in two parts, 23203 and 3011100, that added together give a palindrome (3034303).

The spelling of 232033011100 in words is "two hundred thirty-two billion, thirty-three million, eleven thousand, one hundred".