Base | Representation |
---|---|
bin | 1010000110110000000111… |
… | …0100101111111111000001 |
3 | 1110100012201102121022011200 |
4 | 2201230001310233333001 |
5 | 2424021023404000001 |
6 | 35344212433531413 |
7 | 2224515455122665 |
oct | 241540164577701 |
9 | 43305642538150 |
10 | 11111111000001 |
11 | 35a4217547841 |
12 | 12b54a8713b69 |
13 | 627a08b536bc |
14 | 2a5ad011c8a5 |
15 | 14405b0ac086 |
hex | a1b01d2ffc1 |
11111111000001 has 12 divisors (see below), whose sum is σ = 16055112467940. Its totient is φ = 7404762758400.
The previous prime is 11111110999999. The next prime is 11111111000047. The reversal of 11111111000001 is 10000011111111.
11111111000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 3001140464400 + 8109970535601 = 1732380^2 + 2847801^2 .
It is not a de Polignac number, because 11111111000001 - 21 = 11111110999999 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (11111111000201) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220354636 + ... + 220405053.
It is an arithmetic number, because the mean of its divisors is an integer number (1337926038995).
Almost surely, 211111111000001 is an apocalyptic number.
It is an amenable number.
11111111000001 is a deficient number, since it is larger than the sum of its proper divisors (4944001467939).
11111111000001 is a wasteful number, since it uses less digits than its factorization.
11111111000001 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 440762496 (or 440762493 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 9.
Adding to 11111111000001 its reverse (10000011111111), we get a palindrome (21111122111112).
It can be divided in two parts, 1111111 and 1000001, that multiplied together give a palindrome (1111112111111).
The spelling of 11111111000001 in words is "eleven trillion, one hundred eleven billion, one hundred eleven million, one", and thus it is an aban number.
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