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111101110009 is a prime number
BaseRepresentation
bin110011101111000100…
…1000110011011111001
3101121202211100011100021
41213132021012123321
53310013341010014
6123012242210441
711012121565501
oct1473611063371
9347684304307
10111101110009
114313275338a
1219647653a21
13a627678ba6
14553d530a01
152d53aec624
hex19de2466f9

111101110009 has 2 divisors, whose sum is σ = 111101110010. Its totient is φ = 111101110008.

The previous prime is 111101110007. The next prime is 111101110019. The reversal of 111101110009 is 900011101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57107616784 + 53993493225 = 238972^2 + 232365^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101110009 - 21 = 111101110007 is a prime.

Together with 111101110007, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 111101109974 and 111101110001.

It is not a weakly prime, because it can be changed into another prime (111101110007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550555004 + 55550555005.

It is an arithmetic number, because the mean of its divisors is an integer number (55550555005).

Almost surely, 2111101110009 is an apocalyptic number.

It is an amenable number.

111101110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101110009 is an equidigital number, since it uses as much as digits as its factorization.

111101110009 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 111101110009 in words is "one hundred eleven billion, one hundred one million, one hundred ten thousand, nine".