200024133100 has 144 divisors (see below), whose sum is σ = 492785959680. Its totient is φ = 69805523200.

The previous prime is 200024133079. The next prime is 200024133151. The reversal of 200024133100 is 1331420002.

It is a happy number.

It is a super-2 number, since 2×200024133100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5308527 + ... + 5346073.

It is an arithmetic number, because the mean of its divisors is an integer number (3422124720).

Almost surely, 2^200024133100 is an apocalyptic number.

200024133100 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 200024133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246392979840).

200024133100 is an abundant number, since it is smaller than the sum of its proper divisors (292761826580).

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

200024133100 is a wasteful number, since it uses less digits than its factorization.

200024133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37768 (or 37761 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 200024133100 its reverse (1331420002), we get a palindrome (201355553102).

The spelling of 200024133100 in words is "two hundred billion, twenty-four million, one hundred thirty-three thousand, one hundred".