Base | Representation |
---|---|
bin | 10110101110011111… |
… | …00010100111111010 |
3 | 1011111022112121102100 |
4 | 23113033202213322 |
5 | 144441441010020 |
6 | 5334412044230 |
7 | 611232503205 |
oct | 132717424772 |
9 | 34438477370 |
10 | 12201110010 |
11 | 51a12325a1 |
12 | 2446163676 |
13 | 11c5a1a12b |
14 | 83a60c93c |
15 | 4b6248a90 |
hex | 2d73e29fa |
12201110010 has 96 divisors (see below), whose sum is σ = 32614433280. Its totient is φ = 3162374784.
The previous prime is 12201109993. The next prime is 12201110011. The reversal of 12201110010 is 1001110221.
It is a happy number.
It is a super-2 number, since 2×122011100102 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 12201109974 and 12201110001.
It is not an unprimeable number, because it can be changed into a prime (12201110011) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5856429 + ... + 5858511.
It is an arithmetic number, because the mean of its divisors is an integer number (339733680).
Almost surely, 212201110010 is an apocalyptic number.
12201110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 12201110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307216640).
12201110010 is an abundant number, since it is smaller than the sum of its proper divisors (20413323270).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12201110010 is a wasteful number, since it uses less digits than its factorization.
12201110010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3892 (or 3889 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 12201110010 its reverse (1001110221), we get a palindrome (13202220231).
The spelling of 12201110010 in words is "twelve billion, two hundred one million, one hundred ten thousand, ten".
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