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11011011010009 is a prime number
BaseRepresentation
bin1010000000111011001101…
…1001100101110111011001
31102222122100021210221102221
42200032303121211313121
52420401022304310014
635230215535424041
72214343055213323
oct240166331456731
942878307727387
1011011011010009
11356581a72778a
12129a011385021
1361b445704baa
142a0d15ab0613
1514164d1c0b24
hexa03b3665dd9

11011011010009 has 2 divisors, whose sum is σ = 11011011010010. Its totient is φ = 11011011010008.

The previous prime is 11011011010007. The next prime is 11011011010049. The reversal of 11011011010009 is 90001011011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10691330457600 + 319680552409 = 3269760^2 + 565403^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011011010009 - 21 = 11011011010007 is a prime.

Together with 11011011010007, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 11011011009974 and 11011011010001.

It is not a weakly prime, because it can be changed into another prime (11011011010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505505505004 + 5505505505005.

It is an arithmetic number, because the mean of its divisors is an integer number (5505505505005).

Almost surely, 211011011010009 is an apocalyptic number.

It is an amenable number.

11011011010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011011010009 is an equidigital number, since it uses as much as digits as its factorization.

11011011010009 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.

The spelling of 11011011010009 in words is "eleven trillion, eleven billion, eleven million, ten thousand, nine".