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11000010001117 is a prime number
BaseRepresentation
bin1010000000010010001110…
…1100000100101011011101
31102221120221121110210021011
42200010203230010223131
52420211010030013432
635221200153535221
72213503334166154
oct240044354045335
942846847423234
1011000010001117
11356109496a9a5
121297a61114511
1361a3b1516287
142a0590a1a59b
151412074d2847
hexa0123b04add

11000010001117 has 2 divisors, whose sum is σ = 11000010001118. Its totient is φ = 11000010001116.

The previous prime is 11000010001111. The next prime is 11000010001129. The reversal of 11000010001117 is 71110001000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10999530434916 + 479566201 = 3316554^2 + 21899^2 .

It is an emirp because it is prime and its reverse (71110001000011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11000010001117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000010001097 and 11000010001106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000010001111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500005000558 + 5500005000559.

It is an arithmetic number, because the mean of its divisors is an integer number (5500005000559).

Almost surely, 211000010001117 is an apocalyptic number.

It is an amenable number.

11000010001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000010001117 is an equidigital number, since it uses as much as digits as its factorization.

11000010001117 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.

Adding to 11000010001117 its reverse (71110001000011), we get a palindrome (82110011001128).

The spelling of 11000010001117 in words is "eleven trillion, ten million, one thousand, one hundred seventeen".