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20033137 is a prime number
BaseRepresentation
bin100110001101…
…0111001110001
31101200210022001
41030122321301
520112030022
61553214001
7332164435
oct114327161
941623261
1020033137
1110343213
126861301
1341c5537
1429369c5
151b5ab27
hex131ae71

20033137 has 2 divisors, whose sum is σ = 20033138. Its totient is φ = 20033136.

The previous prime is 20033093. The next prime is 20033159. The reversal of 20033137 is 73133002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19000881 + 1032256 = 4359^2 + 1016^2 .

It is a cyclic number.

It is not a de Polignac number, because 20033137 - 27 = 20033009 is a prime.

It is not a weakly prime, because it can be changed into another prime (20033177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10016568 + 10016569.

It is an arithmetic number, because the mean of its divisors is an integer number (10016569).

Almost surely, 220033137 is an apocalyptic number.

It is an amenable number.

20033137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20033137 is an equidigital number, since it uses as much as digits as its factorization.

20033137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 20033137 is about 4475.8392509115. The cubic root of 20033137 is about 271.5915917022.

Adding to 20033137 its reverse (73133002), we get a palindrome (93166139).

The spelling of 20033137 in words is "twenty million, thirty-three thousand, one hundred thirty-seven".