Search a number
-
+
211011111313 is a prime number
BaseRepresentation
bin1100010010000100111…
…1100000100110010001
3202011122201122002120221
43010201033200212101
511424122321030223
6240534232233041
721150023565232
oct3044117404621
9664581562527
10211011111313
11815422a90a2
1234a8b23b781
1316b8a637162
14a2da645089
15574eeaab5d
hex31213e0991

211011111313 has 2 divisors, whose sum is σ = 211011111314. Its totient is φ = 211011111312.

The previous prime is 211011111247. The next prime is 211011111331. The reversal of 211011111313 is 313111110112.

Together with next prime (211011111331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159274424464 + 51736686849 = 399092^2 + 227457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211011111313 is a prime.

It is not a weakly prime, because it can be changed into another prime (211011111343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105505555656 + 105505555657.

It is an arithmetic number, because the mean of its divisors is an integer number (105505555657).

Almost surely, 2211011111313 is an apocalyptic number.

It is an amenable number.

211011111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

211011111313 is an equidigital number, since it uses as much as digits as its factorization.

211011111313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 211011111313 its reverse (313111110112), we get a palindrome (524122221425).

The spelling of 211011111313 in words is "two hundred eleven billion, eleven million, one hundred eleven thousand, three hundred thirteen".