311020112 has 80 divisors (see below), whose sum is σ = 670738320. Its totient is φ = 138817536.

The previous prime is 311020109. The next prime is 311020141. The reversal of 311020112 is 211020113.

It can be written as a sum of positive squares in 8 ways, for example, as 76807696 + 234212416 = 8764^2 + 15304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 311020093 and 311020102.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 980978 + ... + 981294.

It is an arithmetic number, because the mean of its divisors is an integer number (8384229).

Almost surely, 2^311020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335369160).

311020112 is an abundant number, since it is smaller than the sum of its proper divisors (359718208).

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

311020112 is a wasteful number, since it uses less digits than its factorization.

311020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 311020112 is about 17635.7623027756. The cubic root of 311020112 is about 677.5314996497.

Adding to 311020112 its reverse (211020113), we get a palindrome (522040225).

Subtracting from 311020112 its reverse (211020113), we obtain a palindrome (99999999).

The spelling of 311020112 in words is "three hundred eleven million, twenty thousand, one hundred twelve".