311142000 has 160 divisors (see below), whose sum is σ = 1080555840. Its totient is φ = 76569600.

The previous prime is 311141981. The next prime is 311142011. The reversal of 311142000 is 241113.

It is a happy number.

311142000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 76006 + ... + 79994.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474).

Almost surely, 2^311142000 is an apocalyptic number.

311142000 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 311142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540277920).

311142000 is an abundant number, since it is smaller than the sum of its proper divisors (769413840).

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

311142000 is a wasteful number, since it uses less digits than its factorization.

311142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 311142000 is about 17639.2176697267. The cubic root of 311142000 is about 677.6199957207.

Adding to 311142000 its reverse (241113), we get a palindrome (311383113).

It can be divided in two parts, 311 and 142000, that added together give a triangular number (142311 = T₅₃₃).

The spelling of 311142000 in words is "three hundred eleven million, one hundred forty-two thousand".