311302112 has 96 divisors (see below), whose sum is σ = 693753984. Its totient is φ = 136281600.

The previous prime is 311302111. The next prime is 311302129. The reversal of 311302112 is 211203113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311302111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1982738 + ... + 1982894.

It is an arithmetic number, because the mean of its divisors is an integer number (7226604).

Almost surely, 2^311302112 is an apocalyptic number.

311302112 is a gapful number since it is divisible by the number (32) 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 311302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346876992).

311302112 is an abundant number, since it is smaller than the sum of its proper divisors (382451872).

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

311302112 is a wasteful number, since it uses less digits than its factorization.

311302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 311302112 is about 17643.7556092800. The cubic root of 311302112 is about 677.7362089907.

Adding to 311302112 its reverse (211203113), we get a palindrome (522505225).

The spelling of 311302112 in words is "three hundred eleven million, three hundred two thousand, one hundred twelve".