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131444032 = 264150093
BaseRepresentation
bin1111101010110…
…10110101000000
3100011100001022111
413311122311000
5232122202112
621013145104
73154153516
oct765326500
9304301274
10131444032
1168218935
123802b194
1321302b45
14136584b6
15b8165a7
hex7d5ad40

131444032 has 28 divisors (see below), whose sum is σ = 267201396. Its totient is φ = 64117760.

The previous prime is 131444023. The next prime is 131444041. The reversal of 131444032 is 230444131.

It is an interprime number because it is at equal distance from previous prime (131444023) and next prime (131444041).

It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 125798656 = 2376^2 + 11216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131443994 and 131444012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22423 + ... + 27670.

It is an arithmetic number, because the mean of its divisors is an integer number (9542907).

Almost surely, 2131444032 is an apocalyptic number.

It is an amenable number.

131444032 is an abundant number, since it is smaller than the sum of its proper divisors (135757364).

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

131444032 is an equidigital number, since it uses as much as digits as its factorization.

131444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50146 (or 50136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 131444032 is about 11464.9043607001. The cubic root of 131444032 is about 508.4484848390.

Adding to 131444032 its reverse (230444131), we get a palindrome (361888163).

Subtracting 131444032 from its reverse (230444131), we obtain a palindrome (99000099).

The spelling of 131444032 in words is "one hundred thirty-one million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 50093 100186 200372 400744 801488 1602976 2053813 3205952 4107626 8215252 16430504 32861008 65722016 131444032