Base | Representation |
---|---|
bin | 1001000110101010001010… |
… | …0011110111100001000111 |
3 | 1022102221120012002100010000 |
4 | 2101222202203313201013 |
5 | 2303000440241023421 |
6 | 33142310411332343 |
7 | 2052125105364531 |
oct | 221524243674107 |
9 | 38387505070100 |
10 | 10010001111111 |
11 | 320a243737901 |
12 | 11580091510b3 |
13 | 577c29144651 |
14 | 2686b54a0851 |
15 | 1255b2e70226 |
hex | 91aa28f7847 |
10010001111111 has 40 divisors (see below), whose sum is σ = 15105366201200. Its totient is φ = 6605551814400.
The previous prime is 10010001111109. The next prime is 10010001111169. The reversal of 10010001111111 is 11111110001001.
It is not a de Polignac number, because 10010001111111 - 21 = 10010001111109 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a Duffinian number.
10010001111111 is a modest number, since divided by 1111111 gives 1001000 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 10010001111093 and 10010001111102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10010001111211) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8346636 + ... + 9470286.
It is an arithmetic number, because the mean of its divisors is an integer number (377634155030).
Almost surely, 210010001111111 is an apocalyptic number.
10010001111111 is a deficient number, since it is larger than the sum of its proper divisors (5095365090089).
10010001111111 is a wasteful number, since it uses less digits than its factorization.
10010001111111 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1124781 (or 1124772 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 9.
Adding to 10010001111111 its reverse (11111110001001), we get a palindrome (21121111112112).
The spelling of 10010001111111 in words is "ten trillion, ten billion, one million, one hundred eleven thousand, one hundred eleven".
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