Search a number
-
+
131152013 = 376158109
BaseRepresentation
bin1111101000100…
…11100010001101
3100010210012201222
413310103202031
5232033331023
621003013125
73151526246
oct764234215
9303705658
10131152013
11680394a3
1237b0a1a5
132122cc55
14135bdccd
15b7a9cc8
hex7d1388d

131152013 has 8 divisors (see below), whose sum is σ = 136907160. Its totient is φ = 125513280.

The previous prime is 131152009. The next prime is 131152033. The reversal of 131152013 is 310251131.

It can be written as a sum of positive squares in 4 ways, for example, as 2601769 + 128550244 = 1613^2 + 11338^2 .

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 131152013 - 22 = 131152009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131151982 and 131152000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131152033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26798 + ... + 31311.

It is an arithmetic number, because the mean of its divisors is an integer number (17113395).

Almost surely, 2131152013 is an apocalyptic number.

It is an amenable number.

131152013 is a deficient number, since it is larger than the sum of its proper divisors (5755147).

131152013 is an equidigital number, since it uses as much as digits as its factorization.

131152013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58207.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 131152013 is about 11452.1619356347. The cubic root of 131152013 is about 508.0716788207.

The spelling of 131152013 in words is "one hundred thirty-one million, one hundred fifty-two thousand, thirteen".

Divisors: 1 37 61 2257 58109 2150033 3544649 131152013