311984101 has 12 divisors (see below), whose sum is σ = 369305356. Its totient is φ = 261803520.

The previous prime is 311984087. The next prime is 311984137. The reversal of 311984101 is 101489113.

It can be written as a sum of positive squares in 2 ways, for example, as 104652900 + 207331201 = 10230^2 + 14399^2 .

It is not a de Polignac number, because 311984101 - 2¹⁵ = 311951333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311984101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311984171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97596 + ... + 100741.

Almost surely, 2^311984101 is an apocalyptic number.

It is an amenable number.

311984101 is a deficient number, since it is larger than the sum of its proper divisors (57321255).

311984101 is a wasteful number, since it uses less digits than its factorization.

311984101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198372 (or 198361 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 311984101 is about 17663.0716751079. The cubic root of 311984101 is about 678.2307677083.

The spelling of 311984101 in words is "three hundred eleven million, nine hundred eighty-four thousand, one hundred one".