Search a number
-
+
131131011 = 31129263521
BaseRepresentation
bin1111101000011…
…10011010000011
3100010202010221010
413310032122003
5232032143021
621002332003
73151411104
oct764163203
9303663833
10131131011
1168024740
1237aba003
132122351b
14135b63ab
15b7a3976
hex7d0e683

131131011 has 32 divisors (see below), whose sum is σ = 198443520. Its totient is φ = 76294400.

The previous prime is 131131009. The next prime is 131131031. The reversal of 131131011 is 110131131.

It is a cyclic number.

It is not a de Polignac number, because 131131011 - 21 = 131131009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131131001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251431 + ... + 251951.

It is an arithmetic number, because the mean of its divisors is an integer number (6201360).

Almost surely, 2131131011 is an apocalyptic number.

131131011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131131011 is a deficient number, since it is larger than the sum of its proper divisors (67312509).

131131011 is a wasteful number, since it uses less digits than its factorization.

131131011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 131131011 is about 11451.2449541524. The cubic root of 131131011 is about 508.0445573892.

Adding to 131131011 its reverse (110131131), we get a palindrome (241262142).

The spelling of 131131011 in words is "one hundred thirty-one million, one hundred thirty-one thousand, eleven".

Divisors: 1 3 11 29 33 87 263 319 521 789 957 1563 2893 5731 7627 8679 15109 17193 22881 45327 83897 137023 166199 251691 411069 498597 1507253 3973667 4521759 11921001 43710337 131131011