Search a number
-
+
131791011 = 31119210193
BaseRepresentation
bin1111101101011…
…11100010100011
3100011222200021120
413312233202203
5232214303021
621024423323
73160130232
oct766574243
9304880246
10131791011
11684355a0
1238177b43
13213c4a61
1413708b19
15b8842c6
hex7daf8a3

131791011 has 16 divisors (see below), whose sum is σ = 201786240. Its totient is φ = 75669120.

The previous prime is 131791007. The next prime is 131791027. The reversal of 131791011 is 110197131.

It is not a de Polignac number, because 131791011 - 22 = 131791007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131791411) 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, 104470 + ... + 105723.

It is an arithmetic number, because the mean of its divisors is an integer number (12611640).

Almost surely, 2131791011 is an apocalyptic number.

131791011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131791011 is a deficient number, since it is larger than the sum of its proper divisors (69995229).

131791011 is a wasteful number, since it uses less digits than its factorization.

131791011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210226.

The product of its (nonzero) digits is 189, while the sum is 24.

The square root of 131791011 is about 11480.0266114674. The cubic root of 131791011 is about 508.8954835498.

The spelling of 131791011 in words is "one hundred thirty-one million, seven hundred ninety-one thousand, eleven".

Divisors: 1 3 11 19 33 57 209 627 210193 630579 2312123 3993667 6936369 11981001 43930337 131791011