Search a number
-
+
10646340217 is a prime number
BaseRepresentation
bin10011110101001001…
…00100001001111001
31000110221222010012221
421322210210021321
5133300430341332
64520232004041
7524553253522
oct117244441171
930427863187
1010646340217
114573643a87
122091530621
13100888c6c6
1472dd2d849
154249d1297
hex27a924279

10646340217 has 2 divisors, whose sum is σ = 10646340218. Its totient is φ = 10646340216.

The previous prime is 10646340181. The next prime is 10646340233. The reversal of 10646340217 is 71204364601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6655133241 + 3991206976 = 81579^2 + 63176^2 .

It is an emirp because it is prime and its reverse (71204364601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10646340217 - 223 = 10637951609 is a prime.

It is a super-2 number, since 2×106463402172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10646340517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5323170108 + 5323170109.

It is an arithmetic number, because the mean of its divisors is an integer number (5323170109).

Almost surely, 210646340217 is an apocalyptic number.

It is an amenable number.

10646340217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10646340217 is an equidigital number, since it uses as much as digits as its factorization.

10646340217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 10646340217 in words is "ten billion, six hundred forty-six million, three hundred forty thousand, two hundred seventeen".