Search a number
-
+
11221011001217 is a prime number
BaseRepresentation
bin1010001101001001100001…
…0111111110111110000001
31110201201101112211211000002
42203102120113332332001
52432321112304014332
635510510012205345
72235456053534543
oct243223027767601
943651345754002
1011221011001217
1136368931a7326
121312859a69855
136351a170a514
142ab157d11693
15146d3e500562
hexa34985fef81

11221011001217 has 2 divisors, whose sum is σ = 11221011001218. Its totient is φ = 11221011001216.

The previous prime is 11221011001183. The next prime is 11221011001219. The reversal of 11221011001217 is 71210011012211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11041272311281 + 179738689936 = 3322841^2 + 423956^2 .

It is a cyclic number.

It is not a de Polignac number, because 11221011001217 - 210 = 11221011000193 is a prime.

It is a super-2 number, since 2×112210110012172 (a number of 27 digits) contains 22 as substring.

Together with 11221011001219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11221011001219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5610505500608 + 5610505500609.

It is an arithmetic number, because the mean of its divisors is an integer number (5610505500609).

Almost surely, 211221011001217 is an apocalyptic number.

It is an amenable number.

11221011001217 is a deficient number, since it is larger than the sum of its proper divisors (1).

11221011001217 is an equidigital number, since it uses as much as digits as its factorization.

11221011001217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 11221011001217 its reverse (71210011012211), we get a palindrome (82431022013428).

The spelling of 11221011001217 in words is "eleven trillion, two hundred twenty-one billion, eleven million, one thousand, two hundred seventeen".