Base | Representation |
---|---|
bin | 101010001001… |
… | …1100010000111 |
3 | 1112120210122100 |
4 | 1110103202013 |
5 | 21124200403 |
6 | 2105403143 |
7 | 355563534 |
oct | 124234207 |
9 | 45523570 |
10 | 22100103 |
11 | 11525153 |
12 | 74994b3 |
13 | 476a2ac |
14 | 2d13d8b |
15 | 1e182a3 |
hex | 1513887 |
22100103 has 12 divisors (see below), whose sum is σ = 32064760. Its totient is φ = 14667696.
The previous prime is 22100081. The next prime is 22100129. The reversal of 22100103 is 30100122.
It is a happy number.
It is not a de Polignac number, because 22100103 - 221 = 20002951 is a prime.
It is a super-3 number, since 3×221001033 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22100203) 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 11 ways as a sum of consecutive naturals, for example, 3301 + ... + 7422.
Almost surely, 222100103 is an apocalyptic number.
22100103 is a deficient number, since it is larger than the sum of its proper divisors (9964657).
22100103 is a wasteful number, since it uses less digits than its factorization.
22100103 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10958 (or 10955 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 22100103 is about 4701.0746643720. The cubic root of 22100103 is about 280.6282788062.
Adding to 22100103 its reverse (30100122), we get a palindrome (52200225).
The spelling of 22100103 in words is "twenty-two million, one hundred thousand, one hundred three".
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