Base | Representation |
---|---|
bin | 10110010110111000… |
… | …01100110100110000 |
3 | 1010222111221202111100 |
4 | 23023130030310300 |
5 | 144040243231000 |
6 | 5303020044400 |
7 | 603306453321 |
oct | 131334146460 |
9 | 33874852440 |
10 | 12003102000 |
11 | 50aa49020a |
12 | 23ab993700 |
13 | 11939ac726 |
14 | 81c1c8448 |
15 | 4a3b84a00 |
hex | 2cb70cd30 |
12003102000 has 480 divisors, whose sum is σ = 44420014080. Its totient is φ = 3014668800.
The previous prime is 12003101987. The next prime is 12003102029. The reversal of 12003102000 is 20130021.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32705817 + ... + 32706183.
It is an arithmetic number, because the mean of its divisors is an integer number (92541696).
Almost surely, 212003102000 is an apocalyptic number.
12003102000 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 12003102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22210007040).
12003102000 is an abundant number, since it is smaller than the sum of its proper divisors (32416912080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12003102000 is a wasteful number, since it uses less digits than its factorization.
12003102000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 498 (or 479 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 12003102000 its reverse (20130021), we get a palindrome (12023232021).
It can be divided in two parts, 12003 and 102000, that added together give a triangular number (114003 = T477).
The spelling of 12003102000 in words is "twelve billion, three million, one hundred two thousand".
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