Search a number
-
+
131831091 = 337697519
BaseRepresentation
bin1111101101110…
…01010100110011
3100012001201021000
413312321110303
5232222043331
621025333043
73160355130
oct766712463
9305051230
10131831091
1168462717
1238197183
132140a082
1413719587
15b8910e6
hex7db9533

131831091 has 16 divisors (see below), whose sum is σ = 223206400. Its totient is φ = 75331944.

The previous prime is 131831083. The next prime is 131831123. The reversal of 131831091 is 190138131.

It is a happy number.

It is not a de Polignac number, because 131831091 - 23 = 131831083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131831081) 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, 348571 + ... + 348948.

It is an arithmetic number, because the mean of its divisors is an integer number (13950400).

Almost surely, 2131831091 is an apocalyptic number.

131831091 is a deficient number, since it is larger than the sum of its proper divisors (91375309).

131831091 is an equidigital number, since it uses as much as digits as its factorization.

131831091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697535 (or 697529 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 131831091 is about 11481.7721193203. The cubic root of 131831091 is about 508.9470663892.

The spelling of 131831091 in words is "one hundred thirty-one million, eight hundred thirty-one thousand, ninety-one".

Divisors: 1 3 7 9 21 27 63 189 697519 2092557 4882633 6277671 14647899 18833013 43943697 131831091