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13123289 is a prime number
BaseRepresentation
bin110010000011…
…111011011001
3220200201202202
4302003323121
511324421124
61145135545
7216355214
oct62037331
926621682
1013123289
1174537a3
12448a5b5
13294637a
141a5877b
1512435ae
hexc83ed9

13123289 has 2 divisors, whose sum is σ = 13123290. Its totient is φ = 13123288.

The previous prime is 13123249. The next prime is 13123301. The reversal of 13123289 is 98232131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13017664 + 105625 = 3608^2 + 325^2 .

It is an emirp because it is prime and its reverse (98232131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13123289 - 216 = 13057753 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13123219) 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 as a sum of consecutive naturals, namely, 6561644 + 6561645.

It is an arithmetic number, because the mean of its divisors is an integer number (6561645).

Almost surely, 213123289 is an apocalyptic number.

It is an amenable number.

13123289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123289 is an equidigital number, since it uses as much as digits as its factorization.

13123289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 29.

The square root of 13123289 is about 3622.6080384165. The cubic root of 13123289 is about 235.8744484442.

The spelling of 13123289 in words is "thirteen million, one hundred twenty-three thousand, two hundred eighty-nine".