Base | Representation |
---|---|
bin | 10110101111001101010010… |
… | …000011001001110100000111 |
3 | 111010002000022121100222000200 |
4 | 112233031102003021310013 |
5 | 101101404223112023421 |
6 | 552403512101541543 |
7 | 30030561325010253 |
oct | 2657152203116407 |
9 | 433060277328020 |
10 | 100001100111111 |
11 | 29955256a97a11 |
12 | b270a721148b3 |
13 | 43a50a9035374 |
14 | 1a9a116d7d263 |
15 | b863d1178726 |
hex | 5af3520c9d07 |
100001100111111 has 6 divisors (see below), whose sum is σ = 144446033493840. Its totient is φ = 66667400074068.
The previous prime is 100001100111041. The next prime is 100001100111131. The reversal of 100001100111111 is 111111001100001.
It is not a de Polignac number, because 100001100111111 - 218 = 100001099848967 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11111233345679 = 100001100111111 / (1 + 0 + 0 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 1 + 1 + 1 + 1 + 1).
It is a junction number, because it is equal to n+sod(n) for n = 100001100111093 and 100001100111102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100001100111131) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5555616672831 + ... + 5555616672848.
It is an arithmetic number, because the mean of its divisors is an integer number (24074338915640).
Almost surely, 2100001100111111 is an apocalyptic number.
100001100111111 is a deficient number, since it is larger than the sum of its proper divisors (44444933382729).
100001100111111 is a wasteful number, since it uses less digits than its factorization.
100001100111111 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11111233345685 (or 11111233345682 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 9.
Adding to 100001100111111 its reverse (111111001100001), we get a palindrome (211112101211112).
The spelling of 100001100111111 in words is "one hundred trillion, one billion, one hundred million, one hundred eleven thousand, one hundred eleven".
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