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131137024 = 29416247
BaseRepresentation
bin1111101000011…
…11111000000000
3100010202110011211
413310033320000
5232032341044
621002415504
73151434454
oct764177000
9303673154
10131137024
1168029207
1237b01594
1321226195
14135b8664
15b7a5634
hex7d0fe00

131137024 has 40 divisors (see below), whose sum is σ = 268451568. Its totient is φ = 63959040.

The previous prime is 131137021. The next prime is 131137033. The reversal of 131137024 is 420731131.

It is a junction number, because it is equal to n+sod(n) for n = 131136986 and 131137004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131137021) 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, 17869 + ... + 24115.

Almost surely, 2131137024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131137024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134225784).

131137024 is an abundant number, since it is smaller than the sum of its proper divisors (137314544).

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

131137024 is an frugal number, since it uses more digits than its factorization.

131137024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6290 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 131137024 is about 11451.5074990151. The cubic root of 131137024 is about 508.0523227154.

Adding to 131137024 its reverse (420731131), we get a palindrome (551868155).

The spelling of 131137024 in words is "one hundred thirty-one million, one hundred thirty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1312 2624 5248 6247 10496 12494 20992 24988 49976 99952 199904 256127 399808 512254 799616 1024508 1599232 2049016 3198464 4098032 8196064 16392128 32784256 65568512 131137024