Search a number
-
+
212121212209 is a prime number
BaseRepresentation
bin1100010110001101101…
…0001101010100110001
3202021112002111001201221
43011203122031110301
511433411012242314
6241240325425041
721216363361054
oct3054332152461
9667462431657
10212121212209
1181a61992355
123513ab6b181
13170066135aa
14a3a3c52a9b
1557b7689824
hex316368d531

212121212209 has 2 divisors, whose sum is σ = 212121212210. Its totient is φ = 212121212208.

The previous prime is 212121212183. The next prime is 212121212257. The reversal of 212121212209 is 902212121212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 157565333025 + 54555879184 = 396945^2 + 233572^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121212209 - 29 = 212121211697 is a prime.

It is a super-2 number, since 2×2121212122092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212121212299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060606104 + 106060606105.

It is an arithmetic number, because the mean of its divisors is an integer number (106060606105).

Almost surely, 2212121212209 is an apocalyptic number.

It is an amenable number.

212121212209 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121212209 is an equidigital number, since it uses as much as digits as its factorization.

212121212209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 212121212209 in words is "two hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, two hundred nine".