200232431100 has 432 divisors, whose sum is σ = 717193346688. Its totient is φ = 46289018880.

The previous prime is 200232431089. The next prime is 200232431123. The reversal of 200232431100 is 1134232002.

200232431100 is a `hidden beast` number, since 2 + 0 + 0 + 232 + 431 + 1 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134654557 + ... + 134656043.

It is an arithmetic number, because the mean of its divisors is an integer number (1660169784).

Almost surely, 2^200232431100 is an apocalyptic number.

200232431100 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 200232431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358596673344).

200232431100 is an abundant number, since it is smaller than the sum of its proper divisors (516960915588).

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

200232431100 is a wasteful number, since it uses less digits than its factorization.

200232431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200232431100 its reverse (1134232002), we get a palindrome (201366663102).

The spelling of 200232431100 in words is "two hundred billion, two hundred thirty-two million, four hundred thirty-one thousand, one hundred".