Search a number
-
+
221000000200201 is a prime number
BaseRepresentation
bin110010001111111110010010…
…100000011101111000001001
31001222111101121222220011100001
4302033332102200131320021
5212431331000022401301
62102005555402243001
764356503011651225
oct6217762240357011
91058441558804301
10221000000200201
1164465634722732
1220953344ab6461
1396412978ab5c1
143c8065833b785
151a83ab56cac01
hexc8ff9281de09

221000000200201 has 2 divisors, whose sum is σ = 221000000200202. Its totient is φ = 221000000200200.

The previous prime is 221000000200139. The next prime is 221000000200229. The reversal of 221000000200201 is 102002000000122.

221000000200201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155728935139600 + 65271065060601 = 12479140^2 + 8079051^2 .

It is a cyclic number.

It is not a de Polignac number, because 221000000200201 - 243 = 212203907177993 is a prime.

It is not a weakly prime, because it can be changed into another prime (221000000204201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500000100100 + 110500000100101.

It is an arithmetic number, because the mean of its divisors is an integer number (110500000100101).

Almost surely, 2221000000200201 is an apocalyptic number.

It is an amenable number.

221000000200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000000200201 is an equidigital number, since it uses as much as digits as its factorization.

221000000200201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 221000000200201 its reverse (102002000000122), we get a palindrome (323002000200323).

The spelling of 221000000200201 in words is "two hundred twenty-one trillion, two hundred thousand, two hundred one".