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20005301 is a prime number
BaseRepresentation
bin100110001010…
…0000110110101
31101122101010002
41030110012311
520110132201
61552441045
7332020331
oct114240665
941571102
1020005301
1110324308
126849185
1341b5974
14292a7c1
151b5276b
hex13141b5

20005301 has 2 divisors, whose sum is σ = 20005302. Its totient is φ = 20005300.

The previous prime is 20005291. The next prime is 20005313. The reversal of 20005301 is 10350002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17859076 + 2146225 = 4226^2 + 1465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20005301 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20005351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10002650 + 10002651.

It is an arithmetic number, because the mean of its divisors is an integer number (10002651).

Almost surely, 220005301 is an apocalyptic number.

It is an amenable number.

20005301 is a deficient number, since it is larger than the sum of its proper divisors (1).

20005301 is an equidigital number, since it uses as much as digits as its factorization.

20005301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 20005301 is about 4472.7285855504. The cubic root of 20005301 is about 271.4657414206.

Adding to 20005301 its reverse (10350002), we get a palindrome (30355303).

The spelling of 20005301 in words is "twenty million, five thousand, three hundred one".