Search a number
-
+
12211122201017 is a prime number
BaseRepresentation
bin1011000110110001111110…
…0110011110000110111001
31121020101001002202010210212
42301230133212132012321
53100031334240413032
641545413451320505
72400136664061365
oct261543746360671
947211032663725
1012211122201017
113988787159273
121452720150135
136a767205109c
14303042ca02a5
1516298ca21bb2
hexb1b1f99e1b9

12211122201017 has 2 divisors, whose sum is σ = 12211122201018. Its totient is φ = 12211122201016.

The previous prime is 12211122200971. The next prime is 12211122201023. The reversal of 12211122201017 is 71010222111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10856095829881 + 1355026371136 = 3294859^2 + 1164056^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211122201017 - 220 = 12211121152441 is a prime.

It is a super-2 number, since 2×122111222010172 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211122200983 and 12211122201001.

It is not a weakly prime, because it can be changed into another prime (12211122201037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105561100508 + 6105561100509.

It is an arithmetic number, because the mean of its divisors is an integer number (6105561100509).

Almost surely, 212211122201017 is an apocalyptic number.

It is an amenable number.

12211122201017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211122201017 is an equidigital number, since it uses as much as digits as its factorization.

12211122201017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 12211122201017 its reverse (71010222111221), we get a palindrome (83221344312238).

The spelling of 12211122201017 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, two hundred one thousand, seventeen".