10024311312 has 30 divisors (see below), whose sum is σ = 28054149422. Its totient is φ = 3341437056.

The previous prime is 10024311301. The next prime is 10024311377. The reversal of 10024311312 is 21311342001.

10024311312 is a `hidden beast` number, since 100 + 2 + 431 + 131 + 2 = 666.

10024311312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7541880336 + 2482430976 = 86844^2 + 49824^2 .

It is a super-2 number, since 2×10024311312² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34806493 + ... + 34806780.

Almost surely, 2^10024311312 is an apocalyptic number.

10024311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10024311312 is an abundant number, since it is smaller than the sum of its proper divisors (18029838110).

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

10024311312 is a wasteful number, since it uses less digits than its factorization.

10024311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69613287 (or 69613278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10024311312 its reverse (21311342001), we get a palindrome (31335653313).

The spelling of 10024311312 in words is "ten billion, twenty-four million, three hundred eleven thousand, three hundred twelve".