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13806101 is a prime number
BaseRepresentation
bin110100101010…
…101000010101
3221222102102002
4310222220111
512013243401
61211525045
7225231011
oct64525025
927872362
1013806101
11787a801
124759785
132b250ba
141b95541
15132aa6b
hexd2aa15

13806101 has 2 divisors, whose sum is σ = 13806102. Its totient is φ = 13806100.

The previous prime is 13806083. The next prime is 13806113. The reversal of 13806101 is 10160831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10562500 + 3243601 = 3250^2 + 1801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13806101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13806131) 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, 6903050 + 6903051.

It is an arithmetic number, because the mean of its divisors is an integer number (6903051).

Almost surely, 213806101 is an apocalyptic number.

It is an amenable number.

13806101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13806101 is an equidigital number, since it uses as much as digits as its factorization.

13806101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 13806101 is about 3715.6562004577. The cubic root of 13806101 is about 239.8963730866.

Adding to 13806101 its reverse (10160831), we get a palindrome (23966932).

The spelling of 13806101 in words is "thirteen million, eight hundred six thousand, one hundred one".