10302312320 has 64 divisors (see below), whose sum is σ = 24808950000. Its totient is φ = 4090810368.

The previous prime is 10302312311. The next prime is 10302312353. The reversal of 10302312320 is 2321320301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10302312320² (a number of 21 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28931 + ... + 146429.

Almost surely, 2^10302312320 is an apocalyptic number.

10302312320 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 10302312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12404475000).

10302312320 is an abundant number, since it is smaller than the sum of its proper divisors (14506637680).

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

10302312320 is a wasteful number, since it uses less digits than its factorization.

10302312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117655 (or 117643 counting only the distinct ones).

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

Adding to 10302312320 its reverse (2321320301), we get a palindrome (12623632621).

The spelling of 10302312320 in words is "ten billion, three hundred two million, three hundred twelve thousand, three hundred twenty".