204423212401300 has 144 divisors (see below), whose sum is σ = 472807047006000. Its totient is φ = 76591620403200.

The previous prime is 204423212401279. The next prime is 204423212401319. The reversal of 204423212401300 is 3104212324402.

It can be written as a sum of positive squares in 24 ways, for example, as 189321858887184 + 15101353514116 = 13759428^2 + 3886046^2 .

It is a super-2 number, since 2×204423212401300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 4998726 + ... + 20828674.

It is an arithmetic number, because the mean of its divisors is an integer number (3283382270875).

Almost surely, 2^{204423212401300} is an apocalyptic number.

204423212401300 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 204423212401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236403523503000).

204423212401300 is an abundant number, since it is smaller than the sum of its proper divisors (268383834604700).

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

204423212401300 is a wasteful number, since it uses less digits than its factorization.

204423212401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15830126 (or 15830119 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 204423212401300 its reverse (3104212324402), we get a palindrome (207527424725702).

The spelling of 204423212401300 in words is "two hundred four trillion, four hundred twenty-three billion, two hundred twelve million, four hundred one thousand, three hundred".