Search a number
-
+
13616129 is a prime number
BaseRepresentation
bin110011111100…
…010000000001
3221121202211002
4303330100001
511441204004
61203501345
7223510112
oct63742001
927552732
1013616129
11775aaaa
124687855
132a897a7
141b46209
1512de61e
hexcfc401

13616129 has 2 divisors, whose sum is σ = 13616130. Its totient is φ = 13616128.

The previous prime is 13616107. The next prime is 13616137. The reversal of 13616129 is 92161631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13126129 + 490000 = 3623^2 + 700^2 .

It is an emirp because it is prime and its reverse (92161631) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13616129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13616149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6808064 + 6808065.

It is an arithmetic number, because the mean of its divisors is an integer number (6808065).

Almost surely, 213616129 is an apocalyptic number.

It is an amenable number.

13616129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13616129 is an equidigital number, since it uses as much as digits as its factorization.

13616129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 29.

The square root of 13616129 is about 3690.0039295372. The cubic root of 13616129 is about 238.7909623347.

Subtracting from 13616129 its sum of digits (29), we obtain a square (13616100 = 36902).

The spelling of 13616129 in words is "thirteen million, six hundred sixteen thousand, one hundred twenty-nine".