Search a number
-
+
131293281 = 3761710133
BaseRepresentation
bin1111101001101…
…10000001100001
3100011001101112010
413310312001201
5232102341111
621010023133
73152655150
oct764660141
9304041463
10131293281
1168125649
1237b77aa9
132127c342
1413619597
15b7d6aa6
hex7d36061

131293281 has 16 divisors (see below), whose sum is σ = 200409984. Its totient is φ = 74895744.

The previous prime is 131293259. The next prime is 131293303. The reversal of 131293281 is 182392131.

It is an interprime number because it is at equal distance from previous prime (131293259) and next prime (131293303).

It is not a de Polignac number, because 131293281 - 211 = 131291233 is a prime.

It is a super-2 number, since 2×1312932812 = 34475851271489922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131293241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7891 + ... + 18023.

It is an arithmetic number, because the mean of its divisors is an integer number (12525624).

Almost surely, 2131293281 is an apocalyptic number.

It is an amenable number.

131293281 is a deficient number, since it is larger than the sum of its proper divisors (69116703).

131293281 is a wasteful number, since it uses less digits than its factorization.

131293281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10760.

The product of its digits is 2592, while the sum is 30.

The square root of 131293281 is about 11458.3280193927. The cubic root of 131293281 is about 508.2540334121.

The spelling of 131293281 in words is "one hundred thirty-one million, two hundred ninety-three thousand, two hundred eighty-one".

Divisors: 1 3 7 21 617 1851 4319 10133 12957 30399 70931 212793 6252061 18756183 43764427 131293281