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2723472223313 is a prime number
BaseRepresentation
bin100111101000011011100…
…110000010110001010001
3100122100202110110201220012
4213220123212002301101
5324110132342121223
65443051301324305
7400523115636362
oct47503346026121
910570673421805
102723472223313
11960022084246
1237b9b1406695
13169a8c86b53a
1495b61287b69
154ac9ca72c78
hex27a1b982c51

2723472223313 has 2 divisors, whose sum is σ = 2723472223314. Its totient is φ = 2723472223312.

The previous prime is 2723472223279. The next prime is 2723472223357. The reversal of 2723472223313 is 3133222743272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2649755629249 + 73716594064 = 1627807^2 + 271508^2 .

It is a cyclic number.

It is not a de Polignac number, because 2723472223313 - 26 = 2723472223249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2723472723313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1361736111656 + 1361736111657.

It is an arithmetic number, because the mean of its divisors is an integer number (1361736111657).

Almost surely, 22723472223313 is an apocalyptic number.

It is an amenable number.

2723472223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2723472223313 is an equidigital number, since it uses as much as digits as its factorization.

2723472223313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 41.

Adding to 2723472223313 its reverse (3133222743272), we get a palindrome (5856694966585).

The spelling of 2723472223313 in words is "two trillion, seven hundred twenty-three billion, four hundred seventy-two million, two hundred twenty-three thousand, three hundred thirteen".