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132972041 is a prime number
BaseRepresentation
bin1111110110011…
…11111000001001
3100021012200100102
413323033320021
5233020101131
621110015145
73203146406
oct773177011
9307180312
10132972041
1169071954
12386474b5
13217194a7
14139352ad
15ba191cb
hex7ecfe09

132972041 has 2 divisors, whose sum is σ = 132972042. Its totient is φ = 132972040.

The previous prime is 132972029. The next prime is 132972067. The reversal of 132972041 is 140279231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96924025 + 36048016 = 9845^2 + 6004^2 .

It is a cyclic number.

It is not a de Polignac number, because 132972041 - 218 = 132709897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132971995 and 132972013.

It is not a weakly prime, because it can be changed into another prime (132972841) by changing a digit.

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 as a sum of consecutive naturals, namely, 66486020 + 66486021.

It is an arithmetic number, because the mean of its divisors is an integer number (66486021).

Almost surely, 2132972041 is an apocalyptic number.

It is an amenable number.

132972041 is a deficient number, since it is larger than the sum of its proper divisors (1).

132972041 is an equidigital number, since it uses as much as digits as its factorization.

132972041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 132972041 is about 11531.3503545769. The cubic root of 132972041 is about 510.4111013123.

The spelling of 132972041 in words is "one hundred thirty-two million, nine hundred seventy-two thousand, forty-one".