204155415031000 has 256 divisors, whose sum is σ = 490447274803200. Its totient is φ = 79525043136000.

The previous prime is 204155415030979. The next prime is 204155415031027. The reversal of 204155415031000 is 130514551402.

It is a super-2 number, since 2×204155415031000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481132085 + ... + 1481269915.

It is an arithmetic number, because the mean of its divisors is an integer number (1915809667200).

Almost surely, 2^{204155415031000} is an apocalyptic number.

204155415031000 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 204155415031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245223637401600).

204155415031000 is an abundant number, since it is smaller than the sum of its proper divisors (286291859772200).

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

204155415031000 is a wasteful number, since it uses less digits than its factorization.

204155415031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138195 (or 138181 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 204155415031000 its reverse (130514551402), we get a palindrome (204285929582402).

The spelling of 204155415031000 in words is "two hundred four trillion, one hundred fifty-five billion, four hundred fifteen million, thirty-one thousand".