Search a number
-
+
211212200291 is a prime number
BaseRepresentation
bin1100010010110100111…
…0100110100101100011
3202012011202000110210212
43010231032212211203
511430030310402131
6241010214244335
721155015036411
oct3045516464543
9665152013725
10211212200291
1181635865234
1234b266566ab
1316bc01b3011
14a31922c2b1
15576297ca2b
hex312d3a6963

211212200291 has 2 divisors, whose sum is σ = 211212200292. Its totient is φ = 211212200290.

The previous prime is 211212200237. The next prime is 211212200293. The reversal of 211212200291 is 192002212112.

211212200291 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 is a cyclic number.

It is not a de Polignac number, because 211212200291 - 226 = 211145091427 is a prime.

It is a super-2 number, since 2×2112122002912 (a number of 23 digits) contains 22 as substring.

Together with 211212200293, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (211212200293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606100145 + 105606100146.

It is an arithmetic number, because the mean of its divisors is an integer number (105606100146).

Almost surely, 2211212200291 is an apocalyptic number.

211212200291 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212200291 is an equidigital number, since it uses as much as digits as its factorization.

211212200291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 211212200291 in words is "two hundred eleven billion, two hundred twelve million, two hundred thousand, two hundred ninety-one".