Search a number
-
+
2211111289 is a prime number
BaseRepresentation
bin1000001111001010…
…1110000101111001
312201002121002110201
42003302232011321
514012021030124
61003223442201
7105536064412
oct20362560571
95632532421
102211111289
11a35129702
125185b6361
13293121c9a
1416d930809
15ce1b4144
hex83cae179

2211111289 has 2 divisors, whose sum is σ = 2211111290. Its totient is φ = 2211111288.

The previous prime is 2211111209. The next prime is 2211111311. The reversal of 2211111289 is 9821111122.

2211111289 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., 2103781689 + 107329600 = 45867^2 + 10360^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211111289 - 223 = 2202722681 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211111209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105555644 + 1105555645.

It is an arithmetic number, because the mean of its divisors is an integer number (1105555645).

Almost surely, 22211111289 is an apocalyptic number.

It is an amenable number.

2211111289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211111289 is an equidigital number, since it uses as much as digits as its factorization.

2211111289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 576, while the sum is 28.

The square root of 2211111289 is about 47022.4551570843. The cubic root of 2211111289 is about 1302.7773538792. Note that the first 3 decimals are identical.

The spelling of 2211111289 in words is "two billion, two hundred eleven million, one hundred eleven thousand, two hundred eighty-nine".