204142101330 has 64 divisors (see below), whose sum is σ = 505053999360. Its totient is φ = 52769620224.

The previous prime is 204142101311. The next prime is 204142101349. The reversal of 204142101330 is 33101241402.

204142101330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204142101311) and next prime (204142101349).

It is a junction number, because it is equal to n+sod(n) for n = 204142101297 and 204142101306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43254 + ... + 640433.

It is an arithmetic number, because the mean of its divisors is an integer number (7891468740).

Almost surely, 2^204142101330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204142101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252526999680).

204142101330 is an abundant number, since it is smaller than the sum of its proper divisors (300911898030).

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

204142101330 is a wasteful number, since it uses less digits than its factorization.

204142101330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684003.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 204142101330 its reverse (33101241402), we get a palindrome (237243342732).

The spelling of 204142101330 in words is "two hundred four billion, one hundred forty-two million, one hundred one thousand, three hundred thirty".