10117331424 has 72 divisors (see below), whose sum is σ = 28862182440. Its totient is φ = 3361774848.

The previous prime is 10117331327. The next prime is 10117331443. The reversal of 10117331424 is 42413371101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35887 + ... + 146705.

It is an arithmetic number, because the mean of its divisors is an integer number (400863645).

Almost surely, 2^10117331424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431091220).

10117331424 is an abundant number, since it is smaller than the sum of its proper divisors (18744851016).

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

10117331424 is a wasteful number, since it uses less digits than its factorization.

10117331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111152 (or 111141 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10117331424 in words is "ten billion, one hundred seventeen million, three hundred thirty-one thousand, four hundred twenty-four".