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133681041 = 32131142573
BaseRepresentation
bin1111111011111…
…00111110010001
3100022112200220200
413331330332101
5233210243131
621133125413
73212161434
oct775747621
9308480820
10133681041
11695065aa
1238929869
1321907110
1413a7b81b
15bb092e6
hex7f7cf91

133681041 has 12 divisors (see below), whose sum is σ = 207948468. Its totient is φ = 82265184.

The previous prime is 133681003. The next prime is 133681043. The reversal of 133681041 is 140186331.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 126900225 = 2604^2 + 11265^2 .

It is not a de Polignac number, because 133681041 - 26 = 133680977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133680996 and 133681014.

It is not an unprimeable number, because it can be changed into a prime (133681043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571170 + ... + 571403.

It is an arithmetic number, because the mean of its divisors is an integer number (17329039).

Almost surely, 2133681041 is an apocalyptic number.

It is an amenable number.

133681041 is a deficient number, since it is larger than the sum of its proper divisors (74267427).

133681041 is a wasteful number, since it uses less digits than its factorization.

133681041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142592 (or 1142589 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 133681041 is about 11562.0517642847. The cubic root of 133681041 is about 511.3166555648.

The spelling of 133681041 in words is "one hundred thirty-three million, six hundred eighty-one thousand, forty-one".

Divisors: 1 3 9 13 39 117 1142573 3427719 10283157 14853449 44560347 133681041