Search a number
-
+
10344312222281 is a prime number
BaseRepresentation
bin1001011010000111100100…
…0011100011001001001001
31100121220110220102101222022
42112201321003203021021
52323440122412103111
634000040022534225
72115231462060242
oct226417103431111
940556426371868
1010344312222281
113328aa8634824
1211b0969297375
135a06065480ab
1427a94b427cc9
1512e12c9842db
hex968790e3249

10344312222281 has 2 divisors, whose sum is σ = 10344312222282. Its totient is φ = 10344312222280.

The previous prime is 10344312222151. The next prime is 10344312222323. The reversal of 10344312222281 is 18222221344301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10320798760000 + 23513462281 = 3212600^2 + 153341^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10344312222281 is a prime.

It is a super-2 number, since 2×103443122222812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10344312212281) 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, 5172156111140 + 5172156111141.

It is an arithmetic number, because the mean of its divisors is an integer number (5172156111141).

Almost surely, 210344312222281 is an apocalyptic number.

It is an amenable number.

10344312222281 is a deficient number, since it is larger than the sum of its proper divisors (1).

10344312222281 is an equidigital number, since it uses as much as digits as its factorization.

10344312222281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 10344312222281 its reverse (18222221344301), we get a palindrome (28566533566582).

The spelling of 10344312222281 in words is "ten trillion, three hundred forty-four billion, three hundred twelve million, two hundred twenty-two thousand, two hundred eighty-one".