Search a number
-
+
133301410409 is a prime number
BaseRepresentation
bin111110000100101100…
…0100001101001101001
3110202002000010021022102
41330021120201221221
54141000130113114
6141123211503145
712426222202406
oct1741130415151
9422060107272
10133301410409
1151595197692
1221a02457ab5
13c754b5bb0b
146647b312ad
153702ae42de
hex1f09621a69

133301410409 has 2 divisors, whose sum is σ = 133301410410. Its totient is φ = 133301410408.

The previous prime is 133301410399. The next prime is 133301410423. The reversal of 133301410409 is 904014103331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116335566400 + 16965844009 = 341080^2 + 130253^2 .

It is a cyclic number.

It is not a de Polignac number, because 133301410409 - 224 = 133284633193 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (133301410499) 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, 66650705204 + 66650705205.

It is an arithmetic number, because the mean of its divisors is an integer number (66650705205).

Almost surely, 2133301410409 is an apocalyptic number.

It is an amenable number.

133301410409 is a deficient number, since it is larger than the sum of its proper divisors (1).

133301410409 is an equidigital number, since it uses as much as digits as its factorization.

133301410409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 133301410409 in words is "one hundred thirty-three billion, three hundred one million, four hundred ten thousand, four hundred nine".