Search a number
-
+
10344010011173 is a prime number
BaseRepresentation
bin1001011010000110011100…
…0010101101001000100101
31100121212200211202111021022
42112201213002231020211
52323434013030324143
633555550025300525
72115221132241266
oct226414702551045
940555624674238
1010344010011173
113328962a90083
1211b08a4034745
135a0588a54a57
1427a91d23a96d
1512e11118a268
hex968670ad225

10344010011173 has 2 divisors, whose sum is σ = 10344010011174. Its totient is φ = 10344010011172.

The previous prime is 10344010011113. The next prime is 10344010011197. The reversal of 10344010011173 is 37111001044301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10338552791044 + 5457220129 = 3215362^2 + 73873^2 .

It is a cyclic number.

It is not a de Polignac number, because 10344010011173 - 216 = 10344009945637 is a prime.

It is a super-2 number, since 2×103440100111732 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10344010011113) 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, 5172005005586 + 5172005005587.

It is an arithmetic number, because the mean of its divisors is an integer number (5172005005587).

Almost surely, 210344010011173 is an apocalyptic number.

It is an amenable number.

10344010011173 is a deficient number, since it is larger than the sum of its proper divisors (1).

10344010011173 is an equidigital number, since it uses as much as digits as its factorization.

10344010011173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 10344010011173 its reverse (37111001044301), we get a palindrome (47455011055474).

The spelling of 10344010011173 in words is "ten trillion, three hundred forty-four billion, ten million, eleven thousand, one hundred seventy-three".