Search a number
-
+
212012002200217 is a prime number
BaseRepresentation
bin110000001101001011100100…
…000101000100101010011001
31000210200011000221222002211211
4300031023210011010222121
5210242101040030401332
62030524545204223121
762441235025336432
oct6015134405045231
91023604027862754
10212012002200217
116160a87011188a
121b94141a69aaa1
13913b85240388b
143a4d615634489
151979dbaa17447
hexc0d2e4144a99

212012002200217 has 2 divisors, whose sum is σ = 212012002200218. Its totient is φ = 212012002200216.

The previous prime is 212012002200161. The next prime is 212012002200233. The reversal of 212012002200217 is 712002200210212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169109711799961 + 42902290400256 = 13004219^2 + 6549984^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012002200217 - 223 = 212011993811609 is a prime.

It is not a weakly prime, because it can be changed into another prime (212012002200247) 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, 106006001100108 + 106006001100109.

It is an arithmetic number, because the mean of its divisors is an integer number (106006001100109).

Almost surely, 2212012002200217 is an apocalyptic number.

It is an amenable number.

212012002200217 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012002200217 is an equidigital number, since it uses as much as digits as its factorization.

212012002200217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 22.

Adding to 212012002200217 its reverse (712002200210212), we get a palindrome (924014202410429).

The spelling of 212012002200217 in words is "two hundred twelve trillion, twelve billion, two million, two hundred thousand, two hundred seventeen".