232100332002 has 288 divisors, whose sum is σ = 686988521856. Its totient is φ = 55203793920.

The previous prime is 232100331937. The next prime is 232100332027. The reversal of 232100332002 is 200233001232.

It is a happy number.

232100332002 is a `hidden beast` number, since 232 + 100 + 332 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 9577633 + ... + 9601835.

It is an arithmetic number, because the mean of its divisors is an integer number (2385376812).

Almost surely, 2^232100332002 is an apocalyptic number.

232100332002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 232100332002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343494260928).

232100332002 is an abundant number, since it is smaller than the sum of its proper divisors (454888189854).

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

232100332002 is a wasteful number, since it uses less digits than its factorization.

232100332002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24294 (or 24280 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232100332002 its reverse (200233001232), we get a palindrome (432333333234).

The spelling of 232100332002 in words is "two hundred thirty-two billion, one hundred million, three hundred thirty-two thousand, two".