Base | Representation |
---|---|
bin | 10110111100110100… |
… | …00100010101010000 |
3 | 1011210200201101212000 |
4 | 23132122010111100 |
5 | 200213223410112 |
6 | 5354344234000 |
7 | 614222256453 |
oct | 133632042520 |
9 | 34720641760 |
10 | 12321310032 |
11 | 5253070659 |
12 | 247a46b900 |
13 | 12148b40c5 |
14 | 84c57b49a |
15 | 4c1a8d7dc |
hex | 2de684550 |
12321310032 has 80 divisors (see below), whose sum is σ = 35422524480. Its totient is φ = 4100623488.
The previous prime is 12321309977. The next prime is 12321310039. The reversal of 12321310032 is 23001312321.
12321310032 is a `hidden beast` number, since 1 + 2 + 321 + 310 + 0 + 32 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 12321309987 and 12321310014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12321310039) 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, 255598 + ... + 299954.
It is an arithmetic number, because the mean of its divisors is an integer number (442781556).
Almost surely, 212321310032 is an apocalyptic number.
12321310032 is a gapful number since it is divisible by the number (12) 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 12321310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17711262240).
12321310032 is an abundant number, since it is smaller than the sum of its proper divisors (23101214448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12321310032 is a wasteful number, since it uses less digits than its factorization.
12321310032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 45017 (or 45005 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 12321310032 its reverse (23001312321), we get a palindrome (35322622353).
The spelling of 12321310032 in words is "twelve billion, three hundred twenty-one million, three hundred ten thousand, thirty-two".
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