Search a number
-
+
131327627 = 1071816781
BaseRepresentation
bin1111101001111…
…10011010001011
3100011010010122012
413310332122023
5232104441002
621010450135
73153160244
oct764763213
9304103565
10131327627
1168149432
1237b9394b
1321291b72
1413627ccb
15b7e1d52
hex7d3e68b

131327627 has 8 divisors (see below), whose sum is σ = 133306992. Its totient is φ = 129362400.

The previous prime is 131327593. The next prime is 131327629. The reversal of 131327627 is 726723131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131327627 - 210 = 131326603 is a prime.

It is a super-2 number, since 2×1313276272 = 34493891226902258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131327593 and 131327602.

It is not an unprimeable number, because it can be changed into a prime (131327629) 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 7 ways as a sum of consecutive naturals, for example, 15977 + ... + 22757.

It is an arithmetic number, because the mean of its divisors is an integer number (16663374).

Almost surely, 2131327627 is an apocalyptic number.

131327627 is a deficient number, since it is larger than the sum of its proper divisors (1979365).

131327627 is a wasteful number, since it uses less digits than its factorization.

131327627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069.

The product of its digits is 10584, while the sum is 32.

The square root of 131327627 is about 11459.8266566297. The cubic root of 131327627 is about 508.2983488838.

The spelling of 131327627 in words is "one hundred thirty-one million, three hundred twenty-seven thousand, six hundred twenty-seven".

Divisors: 1 107 181 6781 19367 725567 1227361 131327627