Base | Representation |
---|---|
bin | 10000000000011101001… |
… | …011001110110001000111 |
3 | 10220011021222011012220000 |
4 | 100000131023032301013 |
5 | 121010300241023421 |
6 | 2201200013212343 |
7 | 142321024112640 |
oct | 20003513166107 |
9 | 3804258135800 |
10 | 1100001111111 |
11 | 394564a4a871 |
12 | 1592301910b3 |
13 | 7c9640a6c36 |
14 | 3b3516b66c7 |
15 | 1d930b20226 |
hex | 1001d2cec47 |
1100001111111 has 80 divisors (see below), whose sum is σ = 1919795834880. Its totient is φ = 614679554880.
The previous prime is 1100001111101. The next prime is 1100001111149. The reversal of 1100001111111 is 1111111000011.
It is not a de Polignac number, because 1100001111111 - 26 = 1100001111047 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
1100001111111 is a modest number, since divided by 1111111 gives 110000 as remainder.
It is a zygodrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 1100001111093 and 1100001111102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1100001111101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6303445 + ... + 6475601.
It is an arithmetic number, because the mean of its divisors is an integer number (23997447936).
Almost surely, 21100001111111 is an apocalyptic number.
1100001111111 is a deficient number, since it is larger than the sum of its proper divisors (819794723769).
1100001111111 is a wasteful number, since it uses less digits than its factorization.
1100001111111 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 172426 (or 172417 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 9.
Adding to 1100001111111 its reverse (1111111000011), we get a palindrome (2211112111122).
It can be divided in two parts, 11000011 and 11111, that multiplied together give a palindrome (122221122221).
The spelling of 1100001111111 in words is "one trillion, one hundred billion, one million, one hundred eleven thousand, one hundred eleven".
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