10024320312 has 96 divisors (see below), whose sum is σ = 28103462400. Its totient is φ = 3225422592.

The previous prime is 10024320203. The next prime is 10024320337. The reversal of 10024320312 is 21302342001.

10024320312 is a `hidden beast` number, since 10 + 0 + 24 + 320 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323514 + ... + 353142.

It is an arithmetic number, because the mean of its divisors is an integer number (292744400).

Almost surely, 2^10024320312 is an apocalyptic number.

10024320312 is a gapful number since it is divisible by the number (12) 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 10024320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14051731200).

10024320312 is an abundant number, since it is smaller than the sum of its proper divisors (18079142088).

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

10024320312 is a wasteful number, since it uses less digits than its factorization.

10024320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29805 (or 29798 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10024320312 its reverse (21302342001), we get a palindrome (31326662313).

The spelling of 10024320312 in words is "ten billion, twenty-four million, three hundred twenty thousand, three hundred twelve".