Search a number
-
+
212111011212241 is a prime number
BaseRepresentation
bin110000001110100111110001…
…011110011110101111010001
31000211000121121001220001011011
4300032213301132132233101
5210300211322332242431
62031042241531050521
762451341410140241
oct6016476136365721
91024017531801134
10212111011212241
1161648858119a59
121b9586505a0a41
139147ca08100ab
143a54328c11b21
15197c762c50cb1
hexc0e9f179ebd1

212111011212241 has 2 divisors, whose sum is σ = 212111011212242. Its totient is φ = 212111011212240.

The previous prime is 212111011212143. The next prime is 212111011212253. The reversal of 212111011212241 is 142212110111212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202745703654400 + 9365307557841 = 14238880^2 + 3060279^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212111011212241 is a prime.

It is not a weakly prime, because it can be changed into another prime (212111011212941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106055505606120 + 106055505606121.

It is an arithmetic number, because the mean of its divisors is an integer number (106055505606121).

Almost surely, 2212111011212241 is an apocalyptic number.

It is an amenable number.

212111011212241 is a deficient number, since it is larger than the sum of its proper divisors (1).

212111011212241 is an equidigital number, since it uses as much as digits as its factorization.

212111011212241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 212111011212241 its reverse (142212110111212), we get a palindrome (354323121323453).

The spelling of 212111011212241 in words is "two hundred twelve trillion, one hundred eleven billion, eleven million, two hundred twelve thousand, two hundred forty-one".