Base | Representation |
---|---|
bin | 10010110100000001… |
… | …10111011010001010 |
3 | 222001220010210120200 |
4 | 21122000313122022 |
5 | 131141112022421 |
6 | 4350120233030 |
7 | 505201345500 |
oct | 113200673212 |
9 | 28056123520 |
10 | 10100110986 |
11 | 4313281969 |
12 | 1b5a60b776 |
13 | c4c66c644 |
14 | 6bb582670 |
15 | 3e1a85726 |
hex | 25a03768a |
10100110986 has 144 divisors (see below), whose sum is σ = 26176838688. Its totient is φ = 2804760000.
The previous prime is 10100110949. The next prime is 10100110997. The reversal of 10100110986 is 68901100101.
It is a Curzon number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9518896 + ... + 9519956.
It is an arithmetic number, because the mean of its divisors is an integer number (181783602).
Almost surely, 210100110986 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10100110986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13088419344).
10100110986 is an abundant number, since it is smaller than the sum of its proper divisors (16076727702).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10100110986 is a wasteful number, since it uses less digits than its factorization.
10100110986 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1377 (or 1367 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 27.
The spelling of 10100110986 in words is "ten billion, one hundred million, one hundred ten thousand, nine hundred eighty-six".
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