Base | Representation |
---|---|
bin | 1001000110000101010001… |
… | …1010001000010101011000 |
3 | 1022102000000011101211120021 |
4 | 2101201110122020111120 |
5 | 2302320201100013422 |
6 | 33133552120240224 |
7 | 2051324541342604 |
oct | 221412432102530 |
9 | 38360004354507 |
10 | 10000100001112 |
11 | 3206022826371 |
12 | 1156105310074 |
13 | 57700ba9c690 |
14 | 268016520504 |
15 | 1251d3ae7dc7 |
hex | 91854688558 |
10000100001112 has 128 divisors (see below), whose sum is σ = 21735755697600. Its totient is φ = 4271748710400.
The previous prime is 10000100001097. The next prime is 10000100001187. The reversal of 10000100001112 is 21110000100001.
It is a junction number, because it is equal to n+sod(n) for n = 10000100001095 and 10000100001104.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669836464 + ... + 669851392.
Almost surely, 210000100001112 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 10000100001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867877848800).
10000100001112 is an abundant number, since it is smaller than the sum of its proper divisors (11735655696488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10000100001112 is a wasteful number, since it uses less digits than its factorization.
10000100001112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21237 (or 21233 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 7.
Adding to 10000100001112 its reverse (21110000100001), we get a palindrome (31110100101113).
The spelling of 10000100001112 in words is "ten trillion, one hundred million, one thousand, one hundred twelve".
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