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10010111191 is a prime number
BaseRepresentation
bin10010101001010011…
…00010110011010111
3221211121210100001221
421110221202303113
5131000042024231
64333143231211
7503026353433
oct112451426327
927747710057
1010010111191
1142774a0773
121b34448507
13c36b1a822
146ad6359c3
153d8c08d11
hex254a62cd7

10010111191 has 2 divisors, whose sum is σ = 10010111192. Its totient is φ = 10010111190.

The previous prime is 10010111149. The next prime is 10010111213. The reversal of 10010111191 is 19111101001.

10010111191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (19111101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010111191 - 27 = 10010111063 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010111491) 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, 5005055595 + 5005055596.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055596).

Almost surely, 210010111191 is an apocalyptic number.

10010111191 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010111191 is an equidigital number, since it uses as much as digits as its factorization.

10010111191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 10010111191 its reverse (19111101001), we get a palindrome (29121212192).

The spelling of 10010111191 in words is "ten billion, ten million, one hundred eleven thousand, one hundred ninety-one".