Search a number
-
+
1122221022217 is a prime number
BaseRepresentation
bin10000010101001001100…
…101011101110000001001
310222021122111211122200121
4100111021211131300021
5121341302040202332
62215312523103241
7144035453204611
oct20251145356011
93867574748617
101122221022217
113a2a27568969
121615b1671b21
1381a95665029
143c45c73da41
151e2d16dc797
hex1054995dc09

1122221022217 has 2 divisors, whose sum is σ = 1122221022218. Its totient is φ = 1122221022216.

The previous prime is 1122221022191. The next prime is 1122221022227. The reversal of 1122221022217 is 7122201222211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1120981207696 + 1239814521 = 1058764^2 + 35211^2 .

It is an emirp because it is prime and its reverse (7122201222211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1122221022217 - 27 = 1122221022089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122221022191 and 1122221022200.

It is not a weakly prime, because it can be changed into another prime (1122221022227) 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, 561110511108 + 561110511109.

It is an arithmetic number, because the mean of its divisors is an integer number (561110511109).

Almost surely, 21122221022217 is an apocalyptic number.

It is an amenable number.

1122221022217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122221022217 is an equidigital number, since it uses as much as digits as its factorization.

1122221022217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 1122221022217 its reverse (7122201222211), we get a palindrome (8244422244428).

The spelling of 1122221022217 in words is "one trillion, one hundred twenty-two billion, two hundred twenty-one million, twenty-two thousand, two hundred seventeen".