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2114105013 = 32234900557
BaseRepresentation
bin111111000000010…
…1010111010110101
312110100001122212200
41332000222322311
513312202330023
6545440335113
7103250411316
oct17600527265
95410048780
102114105013
119953a2429
124b0014499
13278cb9017
14160abc60d
15c5901743
hex7e02aeb5

2114105013 has 6 divisors (see below), whose sum is σ = 3053707254. Its totient is φ = 1409403336.

The previous prime is 2114105011. The next prime is 2114105029. The reversal of 2114105013 is 3105014112.

2114105013 is a `hidden beast` number, since 21 + 141 + 0 + 501 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1114090884 + 1000014129 = 33378^2 + 31623^2 .

It is not a de Polignac number, because 2114105013 - 21 = 2114105011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114105011) 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 5 ways as a sum of consecutive naturals, for example, 117450270 + ... + 117450287.

It is an arithmetic number, because the mean of its divisors is an integer number (508951209).

Almost surely, 22114105013 is an apocalyptic number.

It is an amenable number.

2114105013 is a deficient number, since it is larger than the sum of its proper divisors (939602241).

2114105013 is a wasteful number, since it uses less digits than its factorization.

2114105013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234900563 (or 234900560 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2114105013 is about 45979.3977015793. The cubic root of 2114105013 is about 1283.4398468667.

Adding to 2114105013 its reverse (3105014112), we get a palindrome (5219119125).

Subtracting 2114105013 from its reverse (3105014112), we obtain a palindrome (990909099).

The spelling of 2114105013 in words is "two billion, one hundred fourteen million, one hundred five thousand, thirteen".

Divisors: 1 3 9 234900557 704701671 2114105013