Base | Representation |
---|---|
bin | 1101101100100110111010… |
… | …10010010000111000000000 |
3 | 10221122110001012120200022000 |
4 | 12312103131102100320000 |
5 | 12421441301421411000 |
6 | 144020540405344000 |
7 | 6226046153131332 |
oct | 666233522207000 |
9 | 127573035520260 |
10 | 30120023232000 |
11 | 9662914983779 |
12 | 3465566a08000 |
13 | 13a63c939bb60 |
14 | 761b6181d452 |
15 | 373756d1d000 |
hex | 1b64dd490e00 |
30120023232000 has 1280 divisors, whose sum is σ = 120112312320000. Its totient is φ = 7396547788800.
The previous prime is 30120023231999. The next prime is 30120023232067. The reversal of 30120023232000 is 23232002103.
It is a happy number.
30120023232000 is a `hidden beast` number, since 30 + 1 + 200 + 232 + 3 + 200 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1280).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
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 127 ways as a sum of consecutive naturals, for example, 11209534657 + ... + 11209537343.
It is an arithmetic number, because the mean of its divisors is an integer number (93837744000).
Almost surely, 230120023232000 is an apocalyptic number.
30120023232000 is a gapful number since it is divisible by the number (30) 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 30120023232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60056156160000).
30120023232000 is an abundant number, since it is smaller than the sum of its proper divisors (89992289088000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30120023232000 is a wasteful number, since it uses less digits than its factorization.
30120023232000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3241 (or 3209 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 30120023232000 its reverse (23232002103), we get a palindrome (30143255234103).
The spelling of 30120023232000 in words is "thirty trillion, one hundred twenty billion, twenty-three million, two hundred thirty-two thousand".
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