Search a number
-
+
212210309 is a prime number
BaseRepresentation
bin11001010011000…
…01001010000101
3112210022101211002
430221201022011
5413311212214
633020223045
75154520643
oct1451411205
9483271732
10212210309
11a9872823
125b09aa85
1334c70c3c
1420280193
151396c1de
hexca61285

212210309 has 2 divisors, whose sum is σ = 212210310. Its totient is φ = 212210308.

The previous prime is 212210293. The next prime is 212210329. The reversal of 212210309 is 903012212.

It is an a-pointer prime, because the next prime (212210329) can be obtained adding 212210309 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195580225 + 16630084 = 13985^2 + 4078^2 .

It is a cyclic number.

It is not a de Polignac number, because 212210309 - 24 = 212210293 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212210329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105154 + 106105155.

It is an arithmetic number, because the mean of its divisors is an integer number (106105155).

Almost surely, 2212210309 is an apocalyptic number.

It is an amenable number.

212210309 is a deficient number, since it is larger than the sum of its proper divisors (1).

212210309 is an equidigital number, since it uses as much as digits as its factorization.

212210309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 212210309 is about 14567.4400290511. The cubic root of 212210309 is about 596.4703029682.

The spelling of 212210309 in words is "two hundred twelve million, two hundred ten thousand, three hundred nine".