Search a number
-
+
211211213314393 is a prime number
BaseRepresentation
bin110000000001100001110001…
…010101111001100101011001
31000200211121001121101210221201
4300001201301111321211121
5210140441031102030033
62025113031503234201
762326335522200635
oct6001416125714531
91020747047353851
10211211213314393
1161331199718536
121b832193ba8961
1390b1193b96076
143a2296a5d7dc5
15196414d34647d
hexc01871579959

211211213314393 has 2 divisors, whose sum is σ = 211211213314394. Its totient is φ = 211211213314392.

The previous prime is 211211213314319. The next prime is 211211213314427. The reversal of 211211213314393 is 393413312112112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196454759477824 + 14756453836569 = 14016232^2 + 3841413^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211213314393 - 213 = 211211213306201 is a prime.

It is a super-2 number, since 2×2112112133143932 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211211213314303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605606657196 + 105605606657197.

It is an arithmetic number, because the mean of its divisors is an integer number (105605606657197).

Almost surely, 2211211213314393 is an apocalyptic number.

It is an amenable number.

211211213314393 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211213314393 is an equidigital number, since it uses as much as digits as its factorization.

211211213314393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 37.

The spelling of 211211213314393 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred thirteen million, three hundred fourteen thousand, three hundred ninety-three".