Search a number
-
+
10646341241 is a prime number
BaseRepresentation
bin10011110101001001…
…00100011001111001
31000110221222011121212
421322210210121321
5133300430404431
64520232012505
7524553256514
oct117244443171
930427864555
1010646341241
114573644828
122091531135
131008890003
1472dd2dd7b
154249d172b
hex27a924679

10646341241 has 2 divisors, whose sum is σ = 10646341242. Its totient is φ = 10646341240.

The previous prime is 10646341213. The next prime is 10646341259. The reversal of 10646341241 is 14214364601.

10646341241 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., 6290869225 + 4355472016 = 79315^2 + 65996^2 .

It is an emirp because it is prime and its reverse (14214364601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10646341241 - 210 = 10646340217 is a prime.

It is a super-2 number, since 2×106463412412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10646341198 and 10646341207.

It is not a weakly prime, because it can be changed into another prime (10646341291) 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, 5323170620 + 5323170621.

It is an arithmetic number, because the mean of its divisors is an integer number (5323170621).

Almost surely, 210646341241 is an apocalyptic number.

It is an amenable number.

10646341241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10646341241 is an equidigital number, since it uses as much as digits as its factorization.

10646341241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 10646341241 in words is "ten billion, six hundred forty-six million, three hundred forty-one thousand, two hundred forty-one".