110311322320 has 80 divisors (see below), whose sum is σ = 259225171920. Its totient is φ = 43652431872.

The previous prime is 110311322309. The next prime is 110311322339. The reversal of 110311322320 is 23223113011.

It can be written as a sum of positive squares in 8 ways, for example, as 1625057344 + 108686264976 = 40312^2 + 329676^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5859162 + ... + 5877958.

It is an arithmetic number, because the mean of its divisors is an integer number (3240314649).

Almost surely, 2^110311322320 is an apocalyptic number.

110311322320 is a gapful number since it is divisible by the number (10) 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 110311322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129612585960).

110311322320 is an abundant number, since it is smaller than the sum of its proper divisors (148913849600).

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

110311322320 is a wasteful number, since it uses less digits than its factorization.

110311322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19592 (or 19586 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 110311322320 its reverse (23223113011), we get a palindrome (133534435331).

The spelling of 110311322320 in words is "one hundred ten billion, three hundred eleven million, three hundred twenty-two thousand, three hundred twenty".