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10681428217 is a prime number
BaseRepresentation
bin10011111001010100…
…11010100011111001
31000120101222202220111
421330222122203321
5133333421200332
64523524024321
7525460433065
oct117452324371
930511882814
1010681428217
11459142a129
1220a12320a1
131012c26535
14734864aa5
15427b12947
hex27ca9a8f9

10681428217 has 2 divisors, whose sum is σ = 10681428218. Its totient is φ = 10681428216.

The previous prime is 10681428187. The next prime is 10681428259. The reversal of 10681428217 is 71282418601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9748797696 + 932630521 = 98736^2 + 30539^2 .

It is an emirp because it is prime and its reverse (71282418601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10681428217 - 227 = 10547210489 is a prime.

It is a super-2 number, since 2×106814282172 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10681428217.

It is not a weakly prime, because it can be changed into another prime (10681428817) 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, 5340714108 + 5340714109.

It is an arithmetic number, because the mean of its divisors is an integer number (5340714109).

Almost surely, 210681428217 is an apocalyptic number.

It is an amenable number.

10681428217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10681428217 is an equidigital number, since it uses as much as digits as its factorization.

10681428217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 10681428217 in words is "ten billion, six hundred eighty-one million, four hundred twenty-eight thousand, two hundred seventeen".