Search a number
-
+
13106837 is a prime number
BaseRepresentation
bin110001111111…
…111010010101
3220122220012102
4301333322111
511323404322
61144531445
7216256232
oct61777225
926586172
1013106837
1174423a7
124480b85
13293ba33
141a52789
15123d792
hexc7fe95

13106837 has 2 divisors, whose sum is σ = 13106838. Its totient is φ = 13106836.

The previous prime is 13106801. The next prime is 13106857. The reversal of 13106837 is 73860131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12348196 + 758641 = 3514^2 + 871^2 .

It is a cyclic number.

It is not a de Polignac number, because 13106837 - 28 = 13106581 is a prime.

It is a super-2 number, since 2×131068372 = 343578352289138, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13106857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6553418 + 6553419.

It is an arithmetic number, because the mean of its divisors is an integer number (6553419).

Almost surely, 213106837 is an apocalyptic number.

It is an amenable number.

13106837 is a deficient number, since it is larger than the sum of its proper divisors (1).

13106837 is an equidigital number, since it uses as much as digits as its factorization.

13106837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 13106837 is about 3620.3365865621. The cubic root of 13106837 is about 235.7758392922.

Adding to 13106837 its reverse (73860131), we get a palindrome (86966968).

The spelling of 13106837 in words is "thirteen million, one hundred six thousand, eight hundred thirty-seven".