204242310344200 has 48 divisors (see below), whose sum is σ = 475049666722500. Its totient is φ = 81664873355520.

The previous prime is 204242310344183. The next prime is 204242310344201. The reversal of 204242310344200 is 2443013242402.

204242310344200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 87248190774276 + 116994119569924 = 9340674^2 + 10816382^2 .

It is not an unprimeable number, because it can be changed into a prime (204242310344201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199806315 + ... + 200825914.

Almost surely, 2^{204242310344200} is an apocalyptic number.

204242310344200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204242310344200 is an abundant number, since it is smaller than the sum of its proper divisors (270807356378300).

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

204242310344200 is a wasteful number, since it uses less digits than its factorization.

204242310344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400634794 (or 400634785 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 204242310344200 its reverse (2443013242402), we get a palindrome (206685323586602).

The spelling of 204242310344200 in words is "two hundred four trillion, two hundred forty-two billion, three hundred ten million, three hundred forty-four thousand, two hundred".