Base | Representation |
---|---|
bin | 10110100010110011… |
… | …10101001110000000 |
3 | 1011020111012102202110 |
4 | 23101121311032000 |
5 | 144241401104240 |
6 | 5320552215320 |
7 | 605633013021 |
oct | 132131651600 |
9 | 34214172673 |
10 | 12103144320 |
11 | 5150a00513 |
12 | 241939a540 |
13 | 11ab639577 |
14 | 82b5cac48 |
15 | 4ac846c80 |
hex | 2d1675380 |
12103144320 has 128 divisors (see below), whose sum is σ = 38642365440. Its totient is φ = 3222185984.
The previous prime is 12103144309. The next prime is 12103144327. The reversal of 12103144320 is 2344130121.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×121031443202 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12103144327) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237369 + ... + 1247111.
It is an arithmetic number, because the mean of its divisors is an integer number (301893480).
Almost surely, 212103144320 is an apocalyptic number.
12103144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12103144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19321182720).
12103144320 is an abundant number, since it is smaller than the sum of its proper divisors (26539221120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12103144320 is an equidigital number, since it uses as much as digits as its factorization.
12103144320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10412 (or 10400 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
Adding to 12103144320 its reverse (2344130121), we get a palindrome (14447274441).
The spelling of 12103144320 in words is "twelve billion, one hundred three million, one hundred forty-four thousand, three hundred twenty".
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