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11011111117 is a prime number
BaseRepresentation
bin10100100000101000…
…00011100011001101
31001102101100101211021
422100110003203031
5140022321023432
65020342154141
7536602620526
oct122024034315
931371311737
1011011111117
114740537836
122173722951
131066317b86
1476656384d
15446a36697
hex2905038cd

11011111117 has 2 divisors, whose sum is σ = 11011111118. Its totient is φ = 11011111116.

The previous prime is 11011111051. The next prime is 11011111121. The reversal of 11011111117 is 71111111011.

Adding to 11011111117 its reverse (71111111011), we get a palindrome (82122222128).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8115487396 + 2895623721 = 90086^2 + 53811^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011111117 - 227 = 10876893389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11011111117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011111187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505555558 + 5505555559.

It is an arithmetic number, because the mean of its divisors is an integer number (5505555559).

Almost surely, 211011111117 is an apocalyptic number.

It is an amenable number.

11011111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011111117 is an equidigital number, since it uses as much as digits as its factorization.

11011111117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 16.

The spelling of 11011111117 in words is "eleven billion, eleven million, one hundred eleven thousand, one hundred seventeen".