Search a number
-
+
211212121111289 is a prime number
BaseRepresentation
bin110000000001100010100111…
…011100110111101011111001
31000200211200101212120200011222
4300001202213130313223321
5210140444411001030124
62025113301532401425
762326400154302054
oct6001424734675371
91020750355520158
10211212121111289
1161331615095801
121b8323a8016275
1390b12a9c8c5ac
143a22a14dc3a9b
1519641a2db325e
hexc018a7737af9

211212121111289 has 2 divisors, whose sum is σ = 211212121111290. Its totient is φ = 211212121111288.

The previous prime is 211212121111141. The next prime is 211212121111393. The reversal of 211212121111289 is 982111121212112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203235902502889 + 7976218608400 = 14256083^2 + 2824220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211212121111289 is a prime.

It is a super-2 number, since 2×2112121211112892 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211212121111889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606060555644 + 105606060555645.

It is an arithmetic number, because the mean of its divisors is an integer number (105606060555645).

Almost surely, 2211212121111289 is an apocalyptic number.

It is an amenable number.

211212121111289 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212121111289 is an equidigital number, since it uses as much as digits as its factorization.

211212121111289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 35.

The spelling of 211212121111289 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, two hundred eighty-nine".