310232122020 has 144 divisors (see below), whose sum is σ = 984426534000. Its totient is φ = 78978256896.

The previous prime is 310232122007. The next prime is 310232122051. The reversal of 310232122020 is 20221232013.

310232122020 is a `hidden beast` number, since 3 + 102 + 321 + 220 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3378166884 + 306853955136 = 58122^2 + 553944^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 310232121984 and 310232122002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130696 + ... + 798464.

It is an arithmetic number, because the mean of its divisors is an integer number (6836295375).

Almost surely, 2^310232122020 is an apocalyptic number.

310232122020 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 310232122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492213267000).

310232122020 is an abundant number, since it is smaller than the sum of its proper divisors (674194411980).

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

310232122020 is a wasteful number, since it uses less digits than its factorization.

310232122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667902 (or 667897 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 310232122020 its reverse (20221232013), we get a palindrome (330453354033).

The spelling of 310232122020 in words is "three hundred ten billion, two hundred thirty-two million, one hundred twenty-two thousand, twenty".