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1311114013 = 11210835653
BaseRepresentation
bin100111000100110…
…0000001100011101
310101101002111022021
41032021200030131
510141121122023
6334033420141
744330166556
oct11611401435
93341074267
101311114013
116130a9400
1230710a651
1317b829911
14c61b532d
157a18835d
hex4e26031d

1311114013 has 6 divisors (see below), whose sum is σ = 1441141982. Its totient is φ = 1191921720.

The previous prime is 1311113977. The next prime is 1311114029. The reversal of 1311114013 is 3104111131.

It can be written as a sum of positive squares in only one way, i.e., 937155769 + 373958244 = 30613^2 + 19338^2 .

It is not a de Polignac number, because 1311114013 - 217 = 1310982941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311114073) 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 5 ways as a sum of consecutive naturals, for example, 5417706 + ... + 5417947.

Almost surely, 21311114013 is an apocalyptic number.

It is an amenable number.

1311114013 is a deficient number, since it is larger than the sum of its proper divisors (130027969).

1311114013 is a wasteful number, since it uses less digits than its factorization.

1311114013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10835675 (or 10835664 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1311114013 is about 36209.3083750574. The cubic root of 1311114013 is about 1094.4942551654.

Adding to 1311114013 its reverse (3104111131), we get a palindrome (4415225144).

The spelling of 1311114013 in words is "one billion, three hundred eleven million, one hundred fourteen thousand, thirteen".

Divisors: 1 11 121 10835653 119192183 1311114013