10031112224 has 72 divisors (see below), whose sum is σ = 23003730540. Its totient is φ = 4293305856.

The previous prime is 10031112167. The next prime is 10031112233. The reversal of 10031112224 is 42221113001.

It can be written as a sum of positive squares in 2 ways, for example, as 10020010000 + 11102224 = 100100^2 + 3332^2 .

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 11 ways as a sum of consecutive naturals, for example, 1296014 + ... + 1303730.

Almost surely, 2^10031112224 is an apocalyptic number.

10031112224 is a gapful number since it is divisible by the number (14) 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 10031112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11501865270).

10031112224 is an abundant number, since it is smaller than the sum of its proper divisors (12972618316).

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

10031112224 is an equidigital number, since it uses as much as digits as its factorization.

10031112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570 (or 8555 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10031112224 its reverse (42221113001), we get a palindrome (52252225225).

The spelling of 10031112224 in words is "ten billion, thirty-one million, one hundred twelve thousand, two hundred twenty-four".