220332310401 has 16 divisors (see below), whose sum is σ = 341435059200. Its totient is φ = 123770207568.

The previous prime is 220332310369. The next prime is 220332310409. The reversal of 220332310401 is 104013233022.

220332310401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220332310401 - 2⁵ = 220332310369 is a prime.

It is a super-2 number, since 2×220332310401² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (220332310409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88914141 + ... + 88916618.

It is an arithmetic number, because the mean of its divisors is an integer number (21339691200).

Almost surely, 2^220332310401 is an apocalyptic number.

220332310401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220332310401 is a deficient number, since it is larger than the sum of its proper divisors (121102748799).

220332310401 is a wasteful number, since it uses less digits than its factorization.

220332310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177830828.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220332310401 its reverse (104013233022), we get a palindrome (324345543423).

The spelling of 220332310401 in words is "two hundred twenty billion, three hundred thirty-two million, three hundred ten thousand, four hundred one".