Search a number
-
+
131129196 = 223119471049
BaseRepresentation
bin1111101000011…
…01111101101100
3100010202001102220
413310031331230
5232032113241
621002315340
73151402602
oct764157554
9303661386
10131129196
1168023340
1237ab8b50
1321222753
14135b5872
15b7a3166
hex7d0df6c

131129196 has 48 divisors (see below), whose sum is σ = 334454400. Its totient is φ = 39656320.

The previous prime is 131129191. The next prime is 131129227. The reversal of 131129196 is 691921131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131129191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124480 + ... + 125528.

It is an arithmetic number, because the mean of its divisors is an integer number (6967800).

Almost surely, 2131129196 is an apocalyptic number.

It is an amenable number.

131129196 is an abundant number, since it is smaller than the sum of its proper divisors (203325204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131129196 is a wasteful number, since it uses less digits than its factorization.

131129196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2012 counting only the distinct ones).

The product of its digits is 2916, while the sum is 33.

The square root of 131129196 is about 11451.1657048529. The cubic root of 131129196 is about 508.0422134099.

The spelling of 131129196 in words is "one hundred thirty-one million, one hundred twenty-nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 947 1049 1894 2098 2841 3147 3788 4196 5682 6294 10417 11364 11539 12588 20834 23078 31251 34617 41668 46156 62502 69234 125004 138468 993403 1986806 2980209 3973612 5960418 10927433 11920836 21854866 32782299 43709732 65564598 131129196