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221220301 is a prime number
BaseRepresentation
bin11010010111110…
…00110111001101
3120102021011012111
431023320313031
5423113022201
633541304021
75324225101
oct1513706715
9512234174
10221220301
111039670a5
1262105011
1336aa6cb3
1421547901
151464bb51
hexd2f8dcd

221220301 has 2 divisors, whose sum is σ = 221220302. Its totient is φ = 221220300.

The previous prime is 221220289. The next prime is 221220313. The reversal of 221220301 is 103022122.

It is a balanced prime because it is at equal distance from previous prime (221220289) and next prime (221220313).

It can be written as a sum of positive squares in only one way, i.e., 114511401 + 106708900 = 10701^2 + 10330^2 .

It is a cyclic number.

It is not a de Polignac number, because 221220301 - 217 = 221089229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221220331) 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, 110610150 + 110610151.

It is an arithmetic number, because the mean of its divisors is an integer number (110610151).

Almost surely, 2221220301 is an apocalyptic number.

It is an amenable number.

221220301 is a deficient number, since it is larger than the sum of its proper divisors (1).

221220301 is an equidigital number, since it uses as much as digits as its factorization.

221220301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 221220301 is about 14873.4764261756. The cubic root of 221220301 is about 604.7951869155.

Adding to 221220301 its reverse (103022122), we get a palindrome (324242423).

The spelling of 221220301 in words is "two hundred twenty-one million, two hundred twenty thousand, three hundred one".