10220313344 has 72 divisors (see below), whose sum is σ = 20591746560. Its totient is φ = 5062579200.

The previous prime is 10220313293. The next prime is 10220313377. The reversal of 10220313344 is 44331302201.

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 7 ways as a sum of consecutive naturals, for example, 23280677 + ... + 23281115.

It is an arithmetic number, because the mean of its divisors is an integer number (285996480).

Almost surely, 2^10220313344 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 10220313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295873280).

10220313344 is an abundant number, since it is smaller than the sum of its proper divisors (10371433216).

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

10220313344 is an equidigital number, since it uses as much as digits as its factorization.

10220313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10220313344 its reverse (44331302201), we get a palindrome (54551615545).

The spelling of 10220313344 in words is "ten billion, two hundred twenty million, three hundred thirteen thousand, three hundred forty-four".