203213242400 has 144 divisors (see below), whose sum is σ = 568549860480. Its totient is φ = 69478348800.

The previous prime is 203213242399. The next prime is 203213242411. The reversal of 203213242400 is 4242312302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1959860 + ... + 2060940.

It is an arithmetic number, because the mean of its divisors is an integer number (3948262920).

Almost surely, 2^203213242400 is an apocalyptic number.

203213242400 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 203213242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284274930240).

203213242400 is an abundant number, since it is smaller than the sum of its proper divisors (365336618080).

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

203213242400 is a wasteful number, since it uses less digits than its factorization.

203213242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101467 (or 101454 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 203213242400 its reverse (4242312302), we get a palindrome (207455554702).

The spelling of 203213242400 in words is "two hundred three billion, two hundred thirteen million, two hundred forty-two thousand, four hundred".