311112144 has 80 divisors (see below), whose sum is σ = 1020589440. Its totient is φ = 88888320.

The previous prime is 311112143. The next prime is 311112157. The reversal of 311112144 is 441211113.

It is a super-2 number, since 2×311112144² = 193581532288553472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311112143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48417 + ... + 54464.

It is an arithmetic number, because the mean of its divisors is an integer number (12757368).

Almost surely, 2^311112144 is an apocalyptic number.

It is an amenable number.

311112144 is an abundant number, since it is smaller than the sum of its proper divisors (709477296).

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

311112144 is a wasteful number, since it uses less digits than its factorization.

311112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102905 (or 102893 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 311112144 is about 17638.3713533875. The cubic root of 311112144 is about 677.5983210837.

Adding to 311112144 its reverse (441211113), we get a palindrome (752323257).

The spelling of 311112144 in words is "three hundred eleven million, one hundred twelve thousand, one hundred forty-four".