Search a number
-
+
212333013349 is a prime number
BaseRepresentation
bin1100010111000000001…
…0001010100101100101
3202022001212000200021121
43011300002022211211
511434324222411344
6241313333213541
721224544556102
oct3056002124545
9668055020247
10212333013349
11820604a5716
1235199a912b1
131703b470202
14a3c4027aa9
1557cb075684
hex317008a965

212333013349 has 2 divisors, whose sum is σ = 212333013350. Its totient is φ = 212333013348.

The previous prime is 212333013337. The next prime is 212333013353. The reversal of 212333013349 is 943310333212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209940825249 + 2392188100 = 458193^2 + 48910^2 .

It is a cyclic number.

It is not a de Polignac number, because 212333013349 - 217 = 212332882277 is a prime.

It is a super-2 number, since 2×2123330133492 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212333013049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106166506674 + 106166506675.

It is an arithmetic number, because the mean of its divisors is an integer number (106166506675).

Almost surely, 2212333013349 is an apocalyptic number.

It is an amenable number.

212333013349 is a deficient number, since it is larger than the sum of its proper divisors (1).

212333013349 is an equidigital number, since it uses as much as digits as its factorization.

212333013349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 34.

The spelling of 212333013349 in words is "two hundred twelve billion, three hundred thirty-three million, thirteen thousand, three hundred forty-nine".