Base | Representation |
---|---|
bin | 11101000110101111110… |
… | …110100100010100111100 |
3 | 21002012122010001000111200 |
4 | 131012233312210110330 |
5 | 230232211142010022 |
6 | 4130500553015500 |
7 | 264334410265350 |
oct | 35065766442474 |
9 | 7065563030450 |
10 | 2000110110012 |
11 | 7012730180a3 |
12 | 2837749b4590 |
13 | 1167c0307821 |
14 | 6cb3d353460 |
15 | 370629ccbac |
hex | 1d1afda453c |
2000110110012 has 144 divisors (see below), whose sum is σ = 5888826740160. Its totient is φ = 560514898944.
The previous prime is 2000110109969. The next prime is 2000110110023. The reversal of 2000110110012 is 2100110110002.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 2000110109976 and 2000110110003.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 50318898 + ... + 50358630.
It is an arithmetic number, because the mean of its divisors is an integer number (40894630140).
Almost surely, 22000110110012 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2000110110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944413370080).
2000110110012 is an abundant number, since it is smaller than the sum of its proper divisors (3888716630148).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000110110012 is a wasteful number, since it uses less digits than its factorization.
2000110110012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43572 (or 43567 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 2000110110012 its reverse (2100110110002), we get a palindrome (4100220220014).
The spelling of 2000110110012 in words is "two trillion, one hundred ten million, one hundred ten thousand, twelve".
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