10220913024 has 128 divisors (see below), whose sum is σ = 31214937600. Its totient is φ = 2902646784.

The previous prime is 10220913023. The next prime is 10220913037. The reversal of 10220913024 is 42031902201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10220912985 and 10220913003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220913023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437512 + ... + 460280.

It is an arithmetic number, because the mean of its divisors is an integer number (243866700).

Almost surely, 2^10220913024 is an apocalyptic number.

10220913024 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 10220913024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607468800).

10220913024 is an abundant number, since it is smaller than the sum of its proper divisors (20994024576).

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

10220913024 is a wasteful number, since it uses less digits than its factorization.

10220913024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22960 (or 22948 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 10220913024 in words is "ten billion, two hundred twenty million, nine hundred thirteen thousand, twenty-four".