Search a number
-
+
131663142 = 23213562663
BaseRepresentation
bin1111101100100…
…00010100100110
3100011202011212200
413312100110212
5232201210032
621021555330
73156055362
oct766202446
9304664780
10131663142
1168358516
1238115b46
132137b7b0
14136b42a2
15b85b47c
hex7d90526

131663142 has 24 divisors (see below), whose sum is σ = 307214544. Its totient is φ = 40511664.

The previous prime is 131663111. The next prime is 131663153. The reversal of 131663142 is 241366131.

131663142 is a `hidden beast` number, since 13 + 16 + 631 + 4 + 2 = 666.

It is a super-2 number, since 2×1316631422 = 34670365922624328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281098 + ... + 281565.

It is an arithmetic number, because the mean of its divisors is an integer number (12800606).

Almost surely, 2131663142 is an apocalyptic number.

131663142 is an abundant number, since it is smaller than the sum of its proper divisors (175551402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131663142 is a wasteful number, since it uses less digits than its factorization.

131663142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562684 (or 562681 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 131663142 is about 11474.4560655397. The cubic root of 131663142 is about 508.7308465926.

The spelling of 131663142 in words is "one hundred thirty-one million, six hundred sixty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 562663 1125326 1687989 3375978 5063967 7314619 10127934 14629238 21943857 43887714 65831571 131663142