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13814321 is a prime number
BaseRepresentation
bin110100101100…
…101000110001
3221222211200112
4310230220301
512014024241
61212031105
7225263663
oct64545061
927884615
1013814321
1178859a4
124762495
132b28a71
141b98533
15132d1eb
hexd2ca31

13814321 has 2 divisors, whose sum is σ = 13814322. Its totient is φ = 13814320.

The previous prime is 13814303. The next prime is 13814323. The reversal of 13814321 is 12341831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12503296 + 1311025 = 3536^2 + 1145^2 .

It is a cyclic number.

It is not a de Polignac number, because 13814321 - 210 = 13813297 is a prime.

Together with 13814323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13814323) 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, 6907160 + 6907161.

It is an arithmetic number, because the mean of its divisors is an integer number (6907161).

Almost surely, 213814321 is an apocalyptic number.

It is an amenable number.

13814321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13814321 is an equidigital number, since it uses as much as digits as its factorization.

13814321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 23.

The square root of 13814321 is about 3716.7621661871. The cubic root of 13814321 is about 239.9439741908.

The spelling of 13814321 in words is "thirteen million, eight hundred fourteen thousand, three hundred twenty-one".