Base | Representation |
---|---|
bin | 10110111101000011… |
… | …10001101110111000 |
3 | 1011210211112002002200 |
4 | 23132201301232320 |
5 | 200214233043000 |
6 | 5354455430200 |
7 | 614245404501 |
oct | 133641615670 |
9 | 34724462080 |
10 | 12323331000 |
11 | 5254220a82 |
12 | 247b085360 |
13 | 1215140c46 |
14 | 84c945ba8 |
15 | 4c1d3c500 |
hex | 2de871bb8 |
12323331000 has 384 divisors, whose sum is σ = 44666294400. Its totient is φ = 3056486400.
The previous prime is 12323330939. The next prime is 12323331001. The reversal of 12323331000 is 13332321.
12323331000 is a `hidden beast` number, since 1 + 232 + 333 + 100 + 0 = 666.
It is a super-2 number, since 2×123233310002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12323331001) 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 95 ways as a sum of consecutive naturals, for example, 7658196 + ... + 7659804.
It is an arithmetic number, because the mean of its divisors is an integer number (116318475).
Almost surely, 212323331000 is an apocalyptic number.
12323331000 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 12323331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22333147200).
12323331000 is an abundant number, since it is smaller than the sum of its proper divisors (32342963400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12323331000 is a wasteful number, since it uses less digits than its factorization.
12323331000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1696 (or 1679 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 12323331000 its reverse (13332321), we get a palindrome (12336663321).
The spelling of 12323331000 in words is "twelve billion, three hundred twenty-three million, three hundred thirty-one thousand".
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