Search a number
-
+
11221011002017 is a prime number
BaseRepresentation
bin1010001101001001100001…
…0111111111001010100001
31110201201101112211212002201
42203102120113333022201
52432321112304031032
635510510012213201
72235456053540065
oct243223027771241
943651345755081
1011221011002017
1136368931a7993
121312859a6a201
136351a170a9ab
142ab157d11aa5
15146d3e5008e7
hexa34985ff2a1

11221011002017 has 2 divisors, whose sum is σ = 11221011002018. Its totient is φ = 11221011002016.

The previous prime is 11221011001973. The next prime is 11221011002021. The reversal of 11221011002017 is 71020011012211.

11221011002017 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., 9280071635041 + 1940939366976 = 3046321^2 + 1393176^2 .

It is a cyclic number.

It is not a de Polignac number, because 11221011002017 - 235 = 11186651263649 is a prime.

It is a super-2 number, since 2×112210110020172 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11221011001985 and 11221011002003.

It is not a weakly prime, because it can be changed into another prime (11221011006017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5610505501008 + 5610505501009.

It is an arithmetic number, because the mean of its divisors is an integer number (5610505501009).

Almost surely, 211221011002017 is an apocalyptic number.

It is an amenable number.

11221011002017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11221011002017 is an equidigital number, since it uses as much as digits as its factorization.

11221011002017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 11221011002017 its reverse (71020011012211), we get a palindrome (82241022014228).

The spelling of 11221011002017 in words is "eleven trillion, two hundred twenty-one billion, eleven million, two thousand, seventeen".