Search a number
-
+
2220101112217 is a prime number
BaseRepresentation
bin100000010011101000010…
…101101001000110011001
321212020110122220211121011
4200103220111221012121
5242333231341042332
64415522251413521
7316253114042542
oct40235025510631
97766418824534
102220101112217
117865a322211a
122ba32b4542a1
1313147c1a0c91
147964c4574c9
153cb3aee1e47
hex204e8569199

2220101112217 has 2 divisors, whose sum is σ = 2220101112218. Its totient is φ = 2220101112216.

The previous prime is 2220101112169. The next prime is 2220101112223. The reversal of 2220101112217 is 7122111010222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2085306395481 + 134794716736 = 1444059^2 + 367144^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220101112217 - 223 = 2220092723609 is a prime.

It is not a weakly prime, because it can be changed into another prime (2220101112227) 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, 1110050556108 + 1110050556109.

It is an arithmetic number, because the mean of its divisors is an integer number (1110050556109).

Almost surely, 22220101112217 is an apocalyptic number.

It is an amenable number.

2220101112217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220101112217 is an equidigital number, since it uses as much as digits as its factorization.

2220101112217 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 22.

Adding to 2220101112217 its reverse (7122111010222), we get a palindrome (9342212122439).

The spelling of 2220101112217 in words is "two trillion, two hundred twenty billion, one hundred one million, one hundred twelve thousand, two hundred seventeen".