Search a number
-
+
10673334041 is a prime number
BaseRepresentation
bin10011111000010111…
…00010011100011001
31000112211202112210012
421330023202130121
5133324333142131
64523034331305
7525331561646
oct117413423431
930484675705
1010673334041
114587900927
12209a589b35
131011351296
14733758dcd
1542706452b
hex27c2e2719

10673334041 has 2 divisors, whose sum is σ = 10673334042. Its totient is φ = 10673334040.

The previous prime is 10673333959. The next prime is 10673334059. The reversal of 10673334041 is 14043337601.

10673334041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6838628416 + 3834705625 = 82696^2 + 61925^2 .

It is an emirp because it is prime and its reverse (14043337601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10673334041 - 222 = 10669139737 is a prime.

It is a super-2 number, since 2×106733340412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10673333989 and 10673334007.

It is not a weakly prime, because it can be changed into another prime (10673334541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5336667020 + 5336667021.

It is an arithmetic number, because the mean of its divisors is an integer number (5336667021).

Almost surely, 210673334041 is an apocalyptic number.

It is an amenable number.

10673334041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10673334041 is an equidigital number, since it uses as much as digits as its factorization.

10673334041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 10673334041 in words is "ten billion, six hundred seventy-three million, three hundred thirty-four thousand, forty-one".