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10001012027 is a prime number
BaseRepresentation
bin10010101000001101…
…10101010100111011
3221210222200001100212
421110012311110323
5130440224341102
64332220221335
7502556125316
oct112406652473
927728601325
1010001012027
1142723463a6
121b3139a84b
13c34c82cc6
146ac34797d
153d800cc52
hex2541b553b

10001012027 has 2 divisors, whose sum is σ = 10001012028. Its totient is φ = 10001012026.

The previous prime is 10001012011. The next prime is 10001012041. The reversal of 10001012027 is 72021010001.

10001012027 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 (10001012041) can be obtained adding 10001012027 to its sum of digits (14).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10001012027 - 24 = 10001012011 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001012327) 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, 5000506013 + 5000506014.

It is an arithmetic number, because the mean of its divisors is an integer number (5000506014).

Almost surely, 210001012027 is an apocalyptic number.

10001012027 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001012027 is an equidigital number, since it uses as much as digits as its factorization.

10001012027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 10001012027 its reverse (72021010001), we get a palindrome (82022022028).

The spelling of 10001012027 in words is "ten billion, one million, twelve thousand, twenty-seven".