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131027442 = 23713239977
BaseRepresentation
bin1111100111101…
…01000111110010
3100010112212212020
413303311013302
5232020334232
621000212310
73150500130
oct763650762
9303485766
10131027442
1167a63947
1237a6a096
13211b8340
141358a750
15b782e2c
hex7cf51f2

131027442 has 32 divisors (see below), whose sum is σ = 322530432. Its totient is φ = 34556544.

The previous prime is 131027437. The next prime is 131027453. The reversal of 131027442 is 244720131.

It is a happy number.

131027442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 119443 + ... + 120534.

It is an arithmetic number, because the mean of its divisors is an integer number (10079076).

Almost surely, 2131027442 is an apocalyptic number.

131027442 is an abundant number, since it is smaller than the sum of its proper divisors (191502990).

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

131027442 is a wasteful number, since it uses less digits than its factorization.

131027442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240002.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 131027442 is about 11446.7218888204. The cubic root of 131027442 is about 507.9107687322.

Adding to 131027442 its reverse (244720131), we get a palindrome (375747573).

The spelling of 131027442 in words is "one hundred thirty-one million, twenty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 239977 479954 719931 1439862 1679839 3119701 3359678 5039517 6239402 9359103 10079034 18718206 21837907 43675814 65513721 131027442