Search a number
-
+
131330142 = 2327296119
BaseRepresentation
bin1111101001111…
…11000001011110
3100011010021002100
413310333001132
5232110031032
621010505530
73153200466
oct764770136
9304107070
10131330142
1168150309
1237b952a6
1321293058
1413628ba6
15b7e297c
hex7d3f05e

131330142 has 12 divisors (see below), whose sum is σ = 284548680. Its totient is φ = 43776708.

The previous prime is 131330137. The next prime is 131330149. The reversal of 131330142 is 241033131.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7296119 = 131330142 / (1 + 3 + 1 + 3 + 3 + 0 + 1 + 4 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330149) 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 5 ways as a sum of consecutive naturals, for example, 3648042 + ... + 3648077.

It is an arithmetic number, because the mean of its divisors is an integer number (23712390).

Almost surely, 2131330142 is an apocalyptic number.

131330142 is an abundant number, since it is smaller than the sum of its proper divisors (153218538).

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

131330142 is a wasteful number, since it uses less digits than its factorization.

131330142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296127 (or 7296124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131330142 is about 11459.9363872580. The cubic root of 131330142 is about 508.3015935989.

Adding to 131330142 its reverse (241033131), we get a palindrome (372363273).

The spelling of 131330142 in words is "one hundred thirty-one million, three hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 7296119 14592238 21888357 43776714 65665071 131330142