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131138424 = 233210391753
BaseRepresentation
bin1111101000100…
…00001101111000
3100010202112002200
413310100031320
5232032412144
621002430200
73151441524
oct764201570
9303675080
10131138424
116802a26a
1237b02360
1321226a01
14135b8d84
15b7a5c69
hex7d10378

131138424 has 48 divisors (see below), whose sum is σ = 355711200. Its totient is φ = 43645824.

The previous prime is 131138419. The next prime is 131138431. The reversal of 131138424 is 424831131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 73932 + ... + 75684.

It is an arithmetic number, because the mean of its divisors is an integer number (7410650).

Almost surely, 2131138424 is an apocalyptic number.

It is an amenable number.

131138424 is an abundant number, since it is smaller than the sum of its proper divisors (224572776).

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

131138424 is a wasteful number, since it uses less digits than its factorization.

131138424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2797 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 131138424 is about 11451.5686261752. The cubic root of 131138424 is about 508.0541306734.

Adding to 131138424 its reverse (424831131), we get a palindrome (555969555).

The spelling of 131138424 in words is "one hundred thirty-one million, one hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1039 1753 2078 3117 3506 4156 5259 6234 7012 8312 9351 10518 12468 14024 15777 18702 21036 24936 31554 37404 42072 63108 74808 126216 1821367 3642734 5464101 7285468 10928202 14570936 16392303 21856404 32784606 43712808 65569212 131138424