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2114126613 = 321721097457
BaseRepresentation
bin111111000000011…
…0000001100010101
312110100002202111200
41332000300030111
513312204022423
6545441023113
7103250531304
oct17600601425
95410082450
102114126613
11995407685
124b0024a99
13278cc5ac1
14160ac643b
15c5907d43
hex7e030315

2114126613 has 36 divisors (see below), whose sum is σ = 3274136580. Its totient is φ = 1314164736.

The previous prime is 2114126587. The next prime is 2114126617. The reversal of 2114126613 is 3166214112.

It is a happy number.

2114126613 is a `hidden beast` number, since 2 + 1 + 1 + 41 + 2 + 6 + 613 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 178302609 + 1935824004 = 13353^2 + 43998^2 .

It is not a de Polignac number, because 2114126613 - 26 = 2114126549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114126617) 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 35 ways as a sum of consecutive naturals, for example, 279781 + ... + 287237.

Almost surely, 22114126613 is an apocalyptic number.

It is an amenable number.

2114126613 is a deficient number, since it is larger than the sum of its proper divisors (1160009967).

2114126613 is a wasteful number, since it uses less digits than its factorization.

2114126613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606 (or 7586 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2114126613 is about 45979.6325887887. The cubic root of 2114126613 is about 1283.4442178584. Note that the first 3 decimals are identical.

The spelling of 2114126613 in words is "two billion, one hundred fourteen million, one hundred twenty-six thousand, six hundred thirteen".

Divisors: 1 3 9 17 51 109 153 289 327 867 981 1853 2601 5559 7457 16677 22371 31501 67113 94503 126769 283509 380307 812813 1140921 2155073 2438439 6465219 7315317 13817821 19395657 41453463 124360389 234902957 704708871 2114126613