10204301310 has 128 divisors (see below), whose sum is σ = 30412800000. Its totient is φ = 2138348160.

The previous prime is 10204301231. The next prime is 10204301339. The reversal of 10204301310 is 1310340201.

It is a super-2 number, since 2×10204301310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10204301310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82441 + ... + 164939.

It is an arithmetic number, because the mean of its divisors is an integer number (237600000).

Almost surely, 2^10204301310 is an apocalyptic number.

10204301310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204301310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206400000).

10204301310 is an abundant number, since it is smaller than the sum of its proper divisors (20208498690).

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

10204301310 is a wasteful number, since it uses less digits than its factorization.

10204301310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82566.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10204301310 its reverse (1310340201), we get a palindrome (11514641511).

The spelling of 10204301310 in words is "ten billion, two hundred four million, three hundred one thousand, three hundred ten".