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212023313 is a prime number
BaseRepresentation
bin11001010001100…
…11100000010001
3112202221220022022
430220303200101
5413234221223
633012221225
75153111525
oct1450634021
9482856268
10212023313
11a9755287
125b00a815
1334c06aa8
1420231d85
1513931ac8
hexca33811

212023313 has 2 divisors, whose sum is σ = 212023314. Its totient is φ = 212023312.

The previous prime is 212023277. The next prime is 212023327. The reversal of 212023313 is 313320212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119421184 + 92602129 = 10928^2 + 9623^2 .

It is a cyclic number.

It is not a de Polignac number, because 212023313 - 216 = 211957777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212023291 and 212023300.

It is not a weakly prime, because it can be changed into another prime (212023363) 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, 106011656 + 106011657.

It is an arithmetic number, because the mean of its divisors is an integer number (106011657).

Almost surely, 2212023313 is an apocalyptic number.

It is an amenable number.

212023313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212023313 is an equidigital number, since it uses as much as digits as its factorization.

212023313 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 17.

The square root of 212023313 is about 14561.0203282600. The cubic root of 212023313 is about 596.2950517610.

Adding to 212023313 its reverse (313320212), we get a palindrome (525343525).

The spelling of 212023313 in words is "two hundred twelve million, twenty-three thousand, three hundred thirteen".