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13165381 is a prime number
BaseRepresentation
bin110010001110…
…001101000101
3220202212111201
4302032031011
511332243011
61150102501
7216622015
oct62161505
926685451
1013165381
117482389
1244aaa31
13295c588
141a69c45
151250cc1
hexc8e345

13165381 has 2 divisors, whose sum is σ = 13165382. Its totient is φ = 13165380.

The previous prime is 13165379. The next prime is 13165393. The reversal of 13165381 is 18356131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11088900 + 2076481 = 3330^2 + 1441^2 .

It is an emirp because it is prime and its reverse (18356131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13165381 - 21 = 13165379 is a prime.

It is a super-3 number, since 3×131653813 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 13165379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13165351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6582690 + 6582691.

It is an arithmetic number, because the mean of its divisors is an integer number (6582691).

Almost surely, 213165381 is an apocalyptic number.

It is an amenable number.

13165381 is a deficient number, since it is larger than the sum of its proper divisors (1).

13165381 is an equidigital number, since it uses as much as digits as its factorization.

13165381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 28.

The square root of 13165381 is about 3628.4130139773. The cubic root of 13165381 is about 236.1263627129.

The spelling of 13165381 in words is "thirteen million, one hundred sixty-five thousand, three hundred eighty-one".