320023302023100 has 288 divisors, whose sum is σ = 1042986213609984. Its totient is φ = 75170980684800.

The previous prime is 320023302023041. The next prime is 320023302023129. The reversal of 320023302023100 is 1320203320023.

It is a super-2 number, since 2×320023302023100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33526519 + ... + 42000881.

It is an arithmetic number, because the mean of its divisors is an integer number (3621479908368).

Almost surely, 2^{320023302023100} is an apocalyptic number.

320023302023100 is a gapful number since it is divisible by the number (30) 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 320023302023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521493106804992).

320023302023100 is an abundant number, since it is smaller than the sum of its proper divisors (722962911586884).

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

320023302023100 is a wasteful number, since it uses less digits than its factorization.

320023302023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474837 (or 8474830 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 320023302023100 its reverse (1320203320023), we get a palindrome (321343505343123).

The spelling of 320023302023100 in words is "three hundred twenty trillion, twenty-three billion, three hundred two million, twenty-three thousand, one hundred".