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1100110117 is a prime number
BaseRepresentation
bin100000110010010…
…0101100100100101
32211200001101101011
41001210211210211
54223112010432
6301055102221
736155532061
oct10144454445
92750041334
101100110117
11514a90017
12268511971
13146bbbb42
14a616aaa1
15668a8847
hex41925925

1100110117 has 2 divisors, whose sum is σ = 1100110118. Its totient is φ = 1100110116.

The previous prime is 1100110057. The next prime is 1100110129. The reversal of 1100110117 is 7110110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 640393636 + 459716481 = 25306^2 + 21441^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100110117 - 219 = 1099585829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100110097 and 1100110106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100410117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550055058 + 550055059.

It is an arithmetic number, because the mean of its divisors is an integer number (550055059).

Almost surely, 21100110117 is an apocalyptic number.

It is an amenable number.

1100110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100110117 is an equidigital number, since it uses as much as digits as its factorization.

1100110117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 13.

The square root of 1100110117 is about 33167.9079382466. The cubic root of 1100110117 is about 1032.3145602432.

Adding to 1100110117 its reverse (7110110011), we get a palindrome (8210220128).

The spelling of 1100110117 in words is "one billion, one hundred million, one hundred ten thousand, one hundred seventeen".