Search a number
-
+
212112210217 is a prime number
BaseRepresentation
bin1100010110001011011…
…1110111100100101001
3202021111110112201022211
43011202313313210221
511433401211211332
6241235404445121
721216224016145
oct3054267674451
9667443481284
10212112210217
1181a578a3a96
1235137b497a1
13170047b107b
14a3a298c225
1557b69ac447
hex3162df7929

212112210217 has 2 divisors, whose sum is σ = 212112210218. Its totient is φ = 212112210216.

The previous prime is 212112210199. The next prime is 212112210227. The reversal of 212112210217 is 712012211212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154874518681 + 57237691536 = 393541^2 + 239244^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112210217 - 227 = 211977992489 is a prime.

It is not a weakly prime, because it can be changed into another prime (212112210227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056105108 + 106056105109.

It is an arithmetic number, because the mean of its divisors is an integer number (106056105109).

Almost surely, 2212112210217 is an apocalyptic number.

It is an amenable number.

212112210217 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112210217 is an equidigital number, since it uses as much as digits as its factorization.

212112210217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 212112210217 its reverse (712012211212), we get a palindrome (924124421429).

The spelling of 212112210217 in words is "two hundred twelve billion, one hundred twelve million, two hundred ten thousand, two hundred seventeen".