Search a number
-
+
131641591 = 1789167521
BaseRepresentation
bin1111101100010…
…11000011110111
3100011201002022111
413312023003313
5232200012331
621021311451
73155635504
oct766130367
9304632274
10131641591
1168343304
1238105587
1321371a43
14136aa4ab
15b854db1
hex7d8b0f7

131641591 has 16 divisors (see below), whose sum is σ = 142067520. Its totient is φ = 121538560.

The previous prime is 131641579. The next prime is 131641607. The reversal of 131641591 is 195146131.

It is a cyclic number.

It is not a de Polignac number, because 131641591 - 27 = 131641463 is a prime.

It is a super-2 number, since 2×1316415912 = 34659016962022562, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131641511) 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, 252411 + ... + 252931.

It is an arithmetic number, because the mean of its divisors is an integer number (8879220).

Almost surely, 2131641591 is an apocalyptic number.

131641591 is a deficient number, since it is larger than the sum of its proper divisors (10425929).

131641591 is a wasteful number, since it uses less digits than its factorization.

131641591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794.

The product of its digits is 3240, while the sum is 31.

The square root of 131641591 is about 11473.5169411999. The cubic root of 131641591 is about 508.7030882376.

The spelling of 131641591 in words is "one hundred thirty-one million, six hundred forty-one thousand, five hundred ninety-one".

Divisors: 1 17 89 167 521 1513 2839 8857 14863 46369 87007 252671 788273 1479119 7743623 131641591