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311240042113 = 71121328266283
BaseRepresentation
bin1001000011101110101…
…10100010011010000001
31002202100212001022212011
410201313112202122001
520044404422321423
6354552014132521
731325550464410
oct4416726423201
91082325038764
10311240042113
1110aaa5987300
12503a17b1141
13234716c02c0
14110c7c59477
158169366b0d
hex48775a2681

311240042113 has 24 divisors (see below), whose sum is σ = 421054566464. Its totient is φ = 223868953440.

The previous prime is 311240042083. The next prime is 311240042117.

311240042113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311240042113 - 225 = 311206487681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311240042117) 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 23 ways as a sum of consecutive naturals, for example, 14122131 + ... + 14144152.

Almost surely, 2311240042113 is an apocalyptic number.

It is an amenable number.

311240042113 is a deficient number, since it is larger than the sum of its proper divisors (109814524351).

311240042113 is a wasteful number, since it uses less digits than its factorization.

311240042113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28266325 (or 28266314 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 3112400 and 42113, that added together give a palindrome (3154513).

The spelling of 311240042113 in words is "three hundred eleven billion, two hundred forty million, forty-two thousand, one hundred thirteen".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 28266283 197863981 310929113 367461679 2176503791 2572231753 3420220243 4042078469 23941541701 28294549283 44462863159 311240042113