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131142321 = 342955829
BaseRepresentation
bin1111101000100…
…01001010110001
3100010202201110000
413310101022301
5232033023241
621002500213
73151456062
oct764211261
9303681400
10131142321
1168032192
1237b04669
132122870b
14135ba569
15b7a6eb6
hex7d112b1

131142321 has 20 divisors (see below), whose sum is σ = 202662900. Its totient is φ = 84411936.

The previous prime is 131142311. The next prime is 131142329. The reversal of 131142321 is 123241131.

It can be written as a sum of positive squares in 2 ways, for example, as 62583921 + 68558400 = 7911^2 + 8280^2 .

It is not a de Polignac number, because 131142321 - 29 = 131141809 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131142294 and 131142303.

It is not an unprimeable number, because it can be changed into a prime (131142329) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 25566 + ... + 30263.

It is an arithmetic number, because the mean of its divisors is an integer number (10133145).

Almost surely, 2131142321 is an apocalyptic number.

It is an amenable number.

131142321 is a deficient number, since it is larger than the sum of its proper divisors (71520579).

131142321 is an equidigital number, since it uses as much as digits as its factorization.

131142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55870 (or 55861 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131142321 is about 11451.7387762732. The cubic root of 131142321 is about 508.0591631861.

Adding to 131142321 its reverse (123241131), we get a palindrome (254383452).

The spelling of 131142321 in words is "one hundred thirty-one million, one hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 55829 167487 502461 1507383 1619041 4522149 4857123 14571369 43714107 131142321