311241034100 has 18 divisors (see below), whose sum is σ = 675393044214. Its totient is φ = 124496413600.

The previous prime is 311241034063. The next prime is 311241034147. The reversal of 311241034100 is 1430142113.

It can be written as a sum of positive squares in 3 ways, for example, as 4338329956 + 306902704144 = 65866^2 + 553988^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1556205071 + ... + 1556205270.

Almost surely, 2^311241034100 is an apocalyptic number.

It is an amenable number.

311241034100 is an abundant number, since it is smaller than the sum of its proper divisors (364152010114).

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

311241034100 is a wasteful number, since it uses less digits than its factorization.

311241034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112410355 (or 3112410348 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 311241034100 its reverse (1430142113), we get a palindrome (312671176213).

The spelling of 311241034100 in words is "three hundred eleven billion, two hundred forty-one million, thirty-four thousand, one hundred".