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133201 is a prime number
BaseRepresentation
bin100000100001010001
320202201101
4200201101
513230301
62504401
71063225
oct404121
9222641
10133201
1191092
1265101
1348823
1436785
1529701
hex20851

133201 has 2 divisors, whose sum is σ = 133202. Its totient is φ = 133200.

The previous prime is 133187. The next prime is 133213. The reversal of 133201 is 102331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 10000 = 351^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 133201 - 25 = 133169 is a prime.

It is not a weakly prime, because it can be changed into another prime (133241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66600 + 66601.

It is an arithmetic number, because the mean of its divisors is an integer number (66601).

2133201 is an apocalyptic number.

It is an amenable number.

133201 is a deficient number, since it is larger than the sum of its proper divisors (1).

133201 is an equidigital number, since it uses as much as digits as its factorization.

133201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 133201 is about 364.9671218069. The cubic root of 133201 is about 51.0703885180.

Adding to 133201 its reverse (102331), we get a palindrome (235532).

The spelling of 133201 in words is "one hundred thirty-three thousand, two hundred one".