10230312320 has 128 divisors (see below), whose sum is σ = 25152906240. Its totient is φ = 3976648704.

The previous prime is 10230312319. The next prime is 10230312331. The reversal of 10230312320 is 2321303201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6136127 + ... + 6137793.

It is an arithmetic number, because the mean of its divisors is an integer number (196507080).

Almost surely, 2^10230312320 is an apocalyptic number.

10230312320 is a gapful number since it is divisible by the number (10) 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 10230312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576453120).

10230312320 is an abundant number, since it is smaller than the sum of its proper divisors (14922593920).

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

10230312320 is a wasteful number, since it uses less digits than its factorization.

10230312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10230312320 its reverse (2321303201), we get a palindrome (12551615521).

The spelling of 10230312320 in words is "ten billion, two hundred thirty million, three hundred twelve thousand, three hundred twenty".