311117107 has 8 divisors (see below), whose sum is σ = 358363136. Its totient is φ = 264571272.

The previous prime is 311117057. The next prime is 311117171. The reversal of 311117107 is 701711113.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 311117107 - 2¹¹ = 311115059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311117707) 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 7 ways as a sum of consecutive naturals, for example, 174093 + ... + 175870.

It is an arithmetic number, because the mean of its divisors is an integer number (44795392).

Almost surely, 2^311117107 is an apocalyptic number.

311117107 is a deficient number, since it is larger than the sum of its proper divisors (47246029).

311117107 is a wasteful number, since it uses less digits than its factorization.

311117107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350097.

The product of its (nonzero) digits is 147, while the sum is 22.

The square root of 311117107 is about 17638.5120404188. The cubic root of 311117107 is about 677.6019241817.

The spelling of 311117107 in words is "three hundred eleven million, one hundred seventeen thousand, one hundred seven".