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1100001100109 is a prime number
BaseRepresentation
bin10000000000011101001…
…011001100000101001101
310220011021222010122210112
4100000131023030011031
5121010300240200414
62201200013045405
7142321024035602
oct20003513140515
93804258118715
101100001100109
11394564a4257a
12159230186865
137c9640a1c22
143b3516b26a9
151d930b1bd3e
hex1001d2cc14d

1100001100109 has 2 divisors, whose sum is σ = 1100001100110. Its totient is φ = 1100001100108.

The previous prime is 1100001100097. The next prime is 1100001100123. The reversal of 1100001100109 is 9010011000011.

It is a happy number.

It is an a-pointer prime, because the next prime (1100001100123) can be obtained adding 1100001100109 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 565508512009 + 534492588100 = 752003^2 + 731090^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100001100109 - 28 = 1100001099853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100001100093 and 1100001100102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100001100129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550000550054 + 550000550055.

It is an arithmetic number, because the mean of its divisors is an integer number (550000550055).

Almost surely, 21100001100109 is an apocalyptic number.

It is an amenable number.

1100001100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100001100109 is an equidigital number, since it uses as much as digits as its factorization.

1100001100109 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 14.

The spelling of 1100001100109 in words is "one trillion, one hundred billion, one million, one hundred thousand, one hundred nine".