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2013132689 is a prime number
BaseRepresentation
bin111011111111101…
…1111011110010001
312012022001201212222
41313333133132101
513110330221224
6531432230425
7100613226341
oct16777373621
95168051788
102013132689
119433a7427
1248223b415
132610c4a99
14151516d21
15bbb08b5e
hex77fdf791

2013132689 has 2 divisors, whose sum is σ = 2013132690. Its totient is φ = 2013132688.

The previous prime is 2013132647. The next prime is 2013132721. The reversal of 2013132689 is 9862313102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1883560000 + 129572689 = 43400^2 + 11383^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013132689 - 216 = 2013067153 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013131689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006566344 + 1006566345.

It is an arithmetic number, because the mean of its divisors is an integer number (1006566345).

Almost surely, 22013132689 is an apocalyptic number.

It is an amenable number.

2013132689 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013132689 is an equidigital number, since it uses as much as digits as its factorization.

2013132689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 2013132689 is about 44867.9472340779. The cubic root of 2013132689 is about 1262.6727277185.

The spelling of 2013132689 in words is "two billion, thirteen million, one hundred thirty-two thousand, six hundred eighty-nine".