220301010320 has 160 divisors (see below), whose sum is σ = 563708170368. Its totient is φ = 79721570304.

The previous prime is 220301010317. The next prime is 220301010343. The reversal of 220301010320 is 23010103022.

It is a happy number.

220301010320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220301010295 and 220301010304.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4150187 + ... + 4202933.

Almost surely, 2^220301010320 is an apocalyptic number.

220301010320 is a gapful number since it is divisible by the number (20) 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 220301010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281854085184).

220301010320 is an abundant number, since it is smaller than the sum of its proper divisors (343407160048).

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

220301010320 is a wasteful number, since it uses less digits than its factorization.

220301010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52897 (or 52891 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 220301010320 its reverse (23010103022), we get a palindrome (243311113342).

The spelling of 220301010320 in words is "two hundred twenty billion, three hundred one million, ten thousand, three hundred twenty".