Base | Representation |
---|---|
bin | 100110100001… |
… | …110111001000 |
3 | 201000010211022 |
4 | 212201313020 |
5 | 10041201133 |
6 | 1000252012 |
7 | 151564361 |
oct | 46416710 |
9 | 21003738 |
10 | 10100168 |
11 | 5779451 |
12 | 3471008 |
13 | 2128340 |
14 | 14acb68 |
15 | d47998 |
hex | 9a1dc8 |
10100168 has 16 divisors (see below), whose sum is σ = 20394780. Its totient is φ = 4661568.
The previous prime is 10100161. The next prime is 10100173. The reversal of 10100168 is 86100101.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 10099684 + 484 = 3178^2 + 22^2 .
It is not an unprimeable number, because it can be changed into a prime (10100161) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48455 + ... + 48662.
Almost surely, 210100168 is an apocalyptic number.
It is an amenable number.
10100168 is an abundant number, since it is smaller than the sum of its proper divisors (10294612).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10100168 is a wasteful number, since it uses less digits than its factorization.
10100168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 97136 (or 97132 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 17.
The square root of 10100168 is about 3178.0761476088. The cubic root of 10100168 is about 216.1604317945.
Adding to 10100168 its reverse (86100101), we get a palindrome (96200269).
The spelling of 10100168 in words is "ten million, one hundred thousand, one hundred sixty-eight".
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