Base | Representation |
---|---|
bin | 11001001111010000110100… |
… | …110000110001110101101111 |
3 | 112120000111110020121022120222 |
4 | 121033100310300301311233 |
5 | 104022111020110000421 |
6 | 1032024412155001555 |
7 | 32244325654335134 |
oct | 3117206460616557 |
9 | 476014406538528 |
10 | 111000020000111 |
11 | 32405931586500 |
12 | 1054866a1392bb |
13 | 49c2345750488 |
14 | 1d5a602cb258b |
15 | cc7572ac9cab |
hex | 64f434c31d6f |
111000020000111 has 48 divisors (see below), whose sum is σ = 130491625320000. Its totient is φ = 94013259648000.
The previous prime is 111000020000101. The next prime is 111000020000117.
It is a happy number.
111000020000111 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 111000020000111 - 230 = 110998946258287 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (111000020000117) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1038523805 + ... + 1038630681.
It is an arithmetic number, because the mean of its divisors is an integer number (2718575527500).
Almost surely, 2111000020000111 is an apocalyptic number.
111000020000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
111000020000111 is a deficient number, since it is larger than the sum of its proper divisors (19491605319889).
111000020000111 is a wasteful number, since it uses less digits than its factorization.
111000020000111 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112016 (or 112005 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 8.
The spelling of 111000020000111 in words is "one hundred eleven trillion, twenty million, one hundred eleven", and thus it is an aban number.
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