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10288228681 is a prime number
BaseRepresentation
bin10011001010011100…
…11110100101001001
3222120000010011112201
421211032132211021
5132032241304211
64420520240201
7512644333543
oct114516364511
928500104481
1010288228681
1143aa489535
121bb1610061
13c7c6263a3
146d8550693
154033440c1
hex26539e949

10288228681 has 2 divisors, whose sum is σ = 10288228682. Its totient is φ = 10288228680.

The previous prime is 10288228679. The next prime is 10288228711. The reversal of 10288228681 is 18682288201.

10288228681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5404455225 + 4883773456 = 73515^2 + 69884^2 .

It is an emirp because it is prime and its reverse (18682288201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10288228681 - 21 = 10288228679 is a prime.

It is a super-2 number, since 2×102882286812 (a number of 21 digits) contains 22 as substring.

Together with 10288228679, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10288228651) 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, 5144114340 + 5144114341.

It is an arithmetic number, because the mean of its divisors is an integer number (5144114341).

Almost surely, 210288228681 is an apocalyptic number.

It is an amenable number.

10288228681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10288228681 is an equidigital number, since it uses as much as digits as its factorization.

10288228681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196608, while the sum is 46.

The spelling of 10288228681 in words is "ten billion, two hundred eighty-eight million, two hundred twenty-eight thousand, six hundred eighty-one".