Search a number
-
+
221011002200221 is a prime number
BaseRepresentation
bin110010010000001000100010…
…010001110001000010011101
31001222112110000202002200002021
4302100020202101301002131
5212432021013030401341
62102015015221300141
764360342444264102
oct6220104221610235
91058473022080067
10221011002200221
116446a26aaa7132
12209554b5564651
13964232c05639c
143c80dbd5acaa9
151a8400b5129d1
hexc9022247109d

221011002200221 has 2 divisors, whose sum is σ = 221011002200222. Its totient is φ = 221011002200220.

The previous prime is 221011002200213. The next prime is 221011002200291. The reversal of 221011002200221 is 122002200110122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132183883265625 + 88827118934596 = 11497125^2 + 9424814^2 .

It is a cyclic number.

It is not a de Polignac number, because 221011002200221 - 23 = 221011002200213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221011002200195 and 221011002200204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221011002200201) 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, 110505501100110 + 110505501100111.

It is an arithmetic number, because the mean of its divisors is an integer number (110505501100111).

Almost surely, 2221011002200221 is an apocalyptic number.

It is an amenable number.

221011002200221 is a deficient number, since it is larger than the sum of its proper divisors (1).

221011002200221 is an equidigital number, since it uses as much as digits as its factorization.

221011002200221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221011002200221 its reverse (122002200110122), we get a palindrome (343013202310343).

The spelling of 221011002200221 in words is "two hundred twenty-one trillion, eleven billion, two million, two hundred thousand, two hundred twenty-one".