Search a number
-
+
131105 = 5132017
BaseRepresentation
bin100000000000100001
320122211202
4200000201
513143410
62450545
71054142
oct400041
9218752
10131105
118a557
1263a55
13478a0
1435ac9
1528ca5
hex20021

131105 has 8 divisors (see below), whose sum is σ = 169512. Its totient is φ = 96768.

The previous prime is 131101. The next prime is 131111. The reversal of 131105 is 501131.

It can be written as a sum of positive squares in 4 ways, for example, as 12769 + 118336 = 113^2 + 344^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131105 - 22 = 131101 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 944 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (21189).

2131105 is an apocalyptic number.

It is an amenable number.

131105 is a deficient number, since it is larger than the sum of its proper divisors (38407).

131105 is a wasteful number, since it uses less digits than its factorization.

131105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 131105 is about 362.0842443410. The cubic root of 131105 is about 50.8010963452.

Adding to 131105 its reverse (501131), we get a palindrome (632236).

It can be divided in two parts, 13 and 1105, that multiplied together give a triangular number (14365 = T169).

The spelling of 131105 in words is "one hundred thirty-one thousand, one hundred five".

Divisors: 1 5 13 65 2017 10085 26221 131105