Search a number
-
+
13683013 is a prime number
BaseRepresentation
bin110100001100…
…100101000101
3221202011120021
4310030211011
512000324023
61205135141
7224206111
oct64144505
927664507
1013683013
1177a6283
1246ba4b1
132ab1076
141b62741
15130435d
hexd0c945

13683013 has 2 divisors, whose sum is σ = 13683014. Its totient is φ = 13683012.

The previous prime is 13682951. The next prime is 13683017. The reversal of 13683013 is 31038631.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9529569 + 4153444 = 3087^2 + 2038^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13683013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13683017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6841506 + 6841507.

It is an arithmetic number, because the mean of its divisors is an integer number (6841507).

Almost surely, 213683013 is an apocalyptic number.

It is an amenable number.

13683013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13683013 is an equidigital number, since it uses as much as digits as its factorization.

13683013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 13683013 is about 3699.0556903080. The cubic root of 13683013 is about 239.1813134864.

The spelling of 13683013 in words is "thirteen million, six hundred eighty-three thousand, thirteen".