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131103824 = 2470111689
BaseRepresentation
bin1111101000001…
…11110001010000
3100010200202122012
413310013301100
5232030310244
621002002052
73151235615
oct764076120
9303622565
10131103824
1168006275
1237aa6328
1321214037
14135aa50c
15b79a89e
hex7d07c50

131103824 has 20 divisors (see below), whose sum is σ = 254397780. Its totient is φ = 65452800.

The previous prime is 131103811. The next prime is 131103829. The reversal of 131103824 is 428301131.

It can be written as a sum of positive squares in 2 ways, for example, as 123921424 + 7182400 = 11132^2 + 2680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131103824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131103829) 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 3 ways as a sum of consecutive naturals, for example, 5372 + ... + 17060.

It is an arithmetic number, because the mean of its divisors is an integer number (12719889).

Almost surely, 2131103824 is an apocalyptic number.

It is an amenable number.

131103824 is a deficient number, since it is larger than the sum of its proper divisors (123293956).

131103824 is a wasteful number, since it uses less digits than its factorization.

131103824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398 (or 12392 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 131103824 is about 11450.0578164479. The cubic root of 131103824 is about 508.0094445100.

Adding to 131103824 its reverse (428301131), we get a palindrome (559404955).

The spelling of 131103824 in words is "one hundred thirty-one million, one hundred three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 701 1402 2804 5608 11216 11689 23378 46756 93512 187024 8193989 16387978 32775956 65551912 131103824