Base | Representation |
---|---|
bin | 10110110000110111… |
… | …10011000010111101 |
3 | 1011112201011012211112 |
4 | 23120123303002331 |
5 | 200012100201341 |
6 | 5340404331405 |
7 | 611564431541 |
oct | 133033630275 |
9 | 34481135745 |
10 | 12221100221 |
11 | 5201546530 |
12 | 24509a3b65 |
13 | 11c9bc8c65 |
14 | 83d133a21 |
15 | 4b7d96aeb |
hex | 2d86f30bd |
12221100221 has 16 divisors (see below), whose sum is σ = 13797725760. Its totient is φ = 10722405120.
The previous prime is 12221100217. The next prime is 12221100263. The reversal of 12221100221 is 12200112221.
It is a cyclic number.
It is not a de Polignac number, because 12221100221 - 22 = 12221100217 is a prime.
It is a super-2 number, since 2×122211002212 (a number of 21 digits) contains 22 as substring.
It is a Duffinian number.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 12221100196 and 12221100205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12221100121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896966 + ... + 910488.
It is an arithmetic number, because the mean of its divisors is an integer number (862357860).
Almost surely, 212221100221 is an apocalyptic number.
12221100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
12221100221 is a deficient number, since it is larger than the sum of its proper divisors (1576625539).
12221100221 is a wasteful number, since it uses less digits than its factorization.
12221100221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16396.
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 12221100221 its reverse (12200112221), we get a palindrome (24421212442).
The spelling of 12221100221 in words is "twelve billion, two hundred twenty-one million, one hundred thousand, two hundred twenty-one".
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