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15101 is a prime number
BaseRepresentation
bin11101011111101
3202201022
43223331
5440401
6153525
762012
oct35375
922638
1015101
1110389
1288a5
136b48
145709
15471b
hex3afd

15101 has 2 divisors, whose sum is σ = 15102. Its totient is φ = 15100.

The previous prime is 15091. The next prime is 15107. The reversal of 15101 is 10151.

Adding to 15101 its reverse (10151), we get a palindrome (25252).

Subtracting from 15101 its reverse (10151), we obtain a triangular number (4950 = T99).

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., 10201 + 4900 = 101^2 + 70^2 .

It is an emirp because it is prime and its reverse (10151) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-15101 is a prime.

It is a Sophie Germain prime.

It is a Chen 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 (15107) 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, 7550 + 7551.

It is an arithmetic number, because the mean of its divisors is an integer number (7551).

215101 is an apocalyptic number.

It is an amenable number.

15101 is a deficient number, since it is larger than the sum of its proper divisors (1).

15101 is an equidigital number, since it uses as much as digits as its factorization.

15101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 15101 is about 122.8861261494. The cubic root of 15101 is about 24.7173497297.

The spelling of 15101 in words is "fifteen thousand, one hundred one".