311321220 has 96 divisors (see below), whose sum is σ = 1028407296. Its totient is φ = 68860800.

The previous prime is 311321207. The next prime is 311321237. The reversal of 311321220 is 22123113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 311321220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065 + ... + 24975.

It is an arithmetic number, because the mean of its divisors is an integer number (10712576).

Almost surely, 2^311321220 is an apocalyptic number.

311321220 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 311321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514203648).

311321220 is an abundant number, since it is smaller than the sum of its proper divisors (717086076).

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

311321220 is a wasteful number, since it uses less digits than its factorization.

311321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23961 (or 23959 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 311321220 is about 17644.2970956624. The cubic root of 311321220 is about 677.7500753904.

Adding to 311321220 its reverse (22123113), we get a palindrome (333444333).

The spelling of 311321220 in words is "three hundred eleven million, three hundred twenty-one thousand, two hundred twenty".