Search a number
-
+
11000111000009 is a prime number
BaseRepresentation
bin1010000000010010100110…
…1101010110100111001001
31102221121012122112001200212
42200010221231112213021
52420211211404000014
635221214202410505
72213506001521445
oct240045155264711
942847178461625
1011000111000009
11356113698395a
121297a8ab00a35
1361a3c9419631
142a05a01cb825
151412112d323e
hexa0129b569c9

11000111000009 has 2 divisors, whose sum is σ = 11000111000010. Its totient is φ = 11000111000008.

The previous prime is 11000110999961. The next prime is 11000111000023. The reversal of 11000111000009 is 90000011100011.

It is a happy number.

It is an a-pointer prime, because the next prime (11000111000023) can be obtained adding 11000111000009 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10859680932409 + 140430067600 = 3295403^2 + 374740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11000111000009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000110999957 and 11000111000002.

It is not a weakly prime, because it can be changed into another prime (11000111000909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500055500004 + 5500055500005.

It is an arithmetic number, because the mean of its divisors is an integer number (5500055500005).

Almost surely, 211000111000009 is an apocalyptic number.

It is an amenable number.

11000111000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000111000009 is an equidigital number, since it uses as much as digits as its factorization.

11000111000009 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 11000111000009 in words is "eleven trillion, one hundred eleven million, nine", and thus it is an aban number.