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13141 = 17773
BaseRepresentation
bin11001101010101
3200000201
43031111
5410031
6140501
753212
oct31525
920021
1013141
119967
127731
135c9b
144b09
153d61
hex3355

13141 has 4 divisors (see below), whose sum is σ = 13932. Its totient is φ = 12352.

The previous prime is 13127. The next prime is 13147. The reversal of 13141 is 14131.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 14131 = 131087.

It can be written as a sum of positive squares in 2 ways, for example, as 5041 + 8100 = 71^2 + 90^2 .

It is a cyclic number.

It is not a de Polignac number, because 13141 - 25 = 13109 is a prime.

It is a Duffinian number.

13141 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 370 + ... + 403.

It is an arithmetic number, because the mean of its divisors is an integer number (3483).

213141 is an apocalyptic number.

13141 is the 73-rd centered pentagonal number.

It is an amenable number.

13141 is a deficient number, since it is larger than the sum of its proper divisors (791).

13141 is an equidigital number, since it uses as much as digits as its factorization.

13141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790.

The product of its digits is 12, while the sum is 10.

The square root of 13141 is about 114.6342008303. The cubic root of 13141 is about 23.5980511653.

Subtracting from 13141 its sum of digits (10), we obtain a palindrome (13131).

Adding to 13141 its reverse (14131), we get a palindrome (27272).

Subtracting 13141 from its reverse (14131), we obtain a triangular number (990 = T44).

The spelling of 13141 in words is "thirteen thousand, one hundred forty-one".

Divisors: 1 17 773 13141