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10681427153 is a prime number
BaseRepresentation
bin10011111001010100…
…11010010011010001
31000120101222201110002
421330222122103101
5133333421132103
64523524015345
7525460430015
oct117452322321
930511881402
1010681427153
114591429351
1220a1231555
131012c25bc7
14734864545
15427b12488
hex27ca9a4d1

10681427153 has 2 divisors, whose sum is σ = 10681427154. Its totient is φ = 10681427152.

The previous prime is 10681427137. The next prime is 10681427191. The reversal of 10681427153 is 35172418601.

10681427153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10681427191) can be obtained adding 10681427153 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10180204609 + 501222544 = 100897^2 + 22388^2 .

It is a cyclic number.

It is not a de Polignac number, because 10681427153 - 24 = 10681427137 is a prime.

It is a super-2 number, since 2×106814271532 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10681427123) 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, 5340713576 + 5340713577.

It is an arithmetic number, because the mean of its divisors is an integer number (5340713577).

Almost surely, 210681427153 is an apocalyptic number.

It is an amenable number.

10681427153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10681427153 is an equidigital number, since it uses as much as digits as its factorization.

10681427153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 10681427153 in words is "ten billion, six hundred eighty-one million, four hundred twenty-seven thousand, one hundred fifty-three".