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131540353 = 728773061
BaseRepresentation
bin1111101011100…
…10010110000001
3100011111221102221
413311302112001
5232133242403
621015211041
73155034400
oct765622601
9304457387
10131540353
116828423a
1238076a81
1321337939
1413681637
15b834dbd
hex7d72581

131540353 has 12 divisors (see below), whose sum is σ = 153240852. Its totient is φ = 112583520.

The previous prime is 131540333. The next prime is 131540369. The reversal of 131540353 is 353045131.

It can be written as a sum of positive squares in 2 ways, for example, as 119093569 + 12446784 = 10913^2 + 3528^2 .

It is not a de Polignac number, because 131540353 - 29 = 131539841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131540333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41443 + ... + 44503.

It is an arithmetic number, because the mean of its divisors is an integer number (12770071).

Almost surely, 2131540353 is an apocalyptic number.

It is an amenable number.

131540353 is a deficient number, since it is larger than the sum of its proper divisors (21700499).

131540353 is an equidigital number, since it uses as much as digits as its factorization.

131540353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 131540353 is about 11469.1042806315. The cubic root of 131540353 is about 508.5726500014.

Adding to 131540353 its reverse (353045131), we get a palindrome (484585484).

The spelling of 131540353 in words is "one hundred thirty-one million, five hundred forty thousand, three hundred fifty-three".

Divisors: 1 7 49 877 3061 6139 21427 42973 149989 2684497 18791479 131540353