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10010111311 is a prime number
BaseRepresentation
bin10010101001010011…
…00010110101001111
3221211121210100020101
421110221202311033
5131000042030221
64333143231531
7503026353664
oct112451426517
927747710211
1010010111311
1142774a0872
121b344485a7
13c36b1a8b5
146ad635a6b
153d8c08d91
hex254a62d4f

10010111311 has 2 divisors, whose sum is σ = 10010111312. Its totient is φ = 10010111310.

The previous prime is 10010111299. The next prime is 10010111339. The reversal of 10010111311 is 11311101001.

10010111311 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010111311 is a prime.

It is a super-2 number, since 2×100101113112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010111381) 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, 5005055655 + 5005055656.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055656).

Almost surely, 210010111311 is an apocalyptic number.

10010111311 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010111311 is an equidigital number, since it uses as much as digits as its factorization.

10010111311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10010111311 its reverse (11311101001), we get a palindrome (21321212312).

The spelling of 10010111311 in words is "ten billion, ten million, one hundred eleven thousand, three hundred eleven".