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13728331 is a prime number
BaseRepresentation
bin110100010111…
…101001001011
3221211110201201
4310113221023
512003301311
61210125031
7224455201
oct64275113
927743651
1013728331
117827331
124720777
132ac8896
141b75071
1513129c1
hexd17a4b

13728331 has 2 divisors, whose sum is σ = 13728332. Its totient is φ = 13728330.

The previous prime is 13728329. The next prime is 13728343. The reversal of 13728331 is 13382731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13728331 - 21 = 13728329 is a prime.

It is a super-2 number, since 2×137283312 = 376934144091122, which contains 22 as substring.

Together with 13728329, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13728331.

It is not a weakly prime, because it can be changed into another prime (13728301) 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, 6864165 + 6864166.

It is an arithmetic number, because the mean of its divisors is an integer number (6864166).

Almost surely, 213728331 is an apocalyptic number.

13728331 is the 1981-st centered heptagonal number.

13728331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13728331 is an equidigital number, since it uses as much as digits as its factorization.

13728331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 13728331 is about 3705.1762441212. The cubic root of 13728331 is about 239.4450778652.

The spelling of 13728331 in words is "thirteen million, seven hundred twenty-eight thousand, three hundred thirty-one".