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131310445 = 5721932777
BaseRepresentation
bin1111101001110…
…10001101101101
3100011002021001211
413310322031231
5232103413240
621010234421
73153056200
oct764721555
9304067054
10131310445
1168137532
1237b85a11
13212870b6
1413621937
15b7dbbea
hex7d3a36d

131310445 has 24 divisors (see below), whose sum is σ = 184314744. Its totient is φ = 89542656.

The previous prime is 131310437. The next prime is 131310461. The reversal of 131310445 is 544013131.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 131308681 = 42^2 + 11459^2 .

It is not a de Polignac number, because 131310445 - 23 = 131310437 is a prime.

It is a Duffinian number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 45897 + ... + 48673.

It is an arithmetic number, because the mean of its divisors is an integer number (7679781).

Almost surely, 2131310445 is an apocalyptic number.

It is an amenable number.

131310445 is a deficient number, since it is larger than the sum of its proper divisors (53004299).

131310445 is a wasteful number, since it uses less digits than its factorization.

131310445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 131310445 is about 11459.0769698087. The cubic root of 131310445 is about 508.2761805015.

Adding to 131310445 its reverse (544013131), we get a palindrome (675323576).

The spelling of 131310445 in words is "one hundred thirty-one million, three hundred ten thousand, four hundred forty-five".

Divisors: 1 5 7 35 49 193 245 965 1351 2777 6755 9457 13885 19439 47285 97195 136073 535961 680365 2679805 3751727 18758635 26262089 131310445