Search a number
-
+
212537323 is a prime number
BaseRepresentation
bin11001010101100…
…00111111101011
3112210221000101201
430222300333223
5413402143243
633031225031
75160352225
oct1452607753
9483830351
10212537323
11a9a76489
125b218177
1335056a3b
1420327415
15139d404d
hexcab0feb

212537323 has 2 divisors, whose sum is σ = 212537324. Its totient is φ = 212537322.

The previous prime is 212537321. The next prime is 212537357. The reversal of 212537323 is 323735212.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 212537323 - 21 = 212537321 is a prime.

It is a super-2 number, since 2×2125373232 = 90344227336012658, which contains 22 as substring.

Together with 212537321, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 212537291 and 212537300.

It is not a weakly prime, because it can be changed into another prime (212537321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106268661 + 106268662.

It is an arithmetic number, because the mean of its divisors is an integer number (106268662).

Almost surely, 2212537323 is an apocalyptic number.

212537323 is a deficient number, since it is larger than the sum of its proper divisors (1).

212537323 is an equidigital number, since it uses as much as digits as its factorization.

212537323 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 28.

The square root of 212537323 is about 14578.6598492454. The cubic root of 212537323 is about 596.7765306817.

The spelling of 212537323 in words is "two hundred twelve million, five hundred thirty-seven thousand, three hundred twenty-three".