Base | Representation |
---|---|
bin | 11100000011011111… |
… | …010100001111111000 |
3 | 2212202100022210210200 |
4 | 130003133110033320 |
5 | 443143031441440 |
6 | 21501035042200 |
7 | 2114324633256 |
oct | 340337241770 |
9 | 85670283720 |
10 | 30123312120 |
11 | 11858908280 |
12 | 5a082a0360 |
13 | 2ac0aab755 |
14 | 165a9875d6 |
15 | bb4885c30 |
hex | 7037d43f8 |
30123312120 has 384 divisors, whose sum is σ = 113218560000. Its totient is φ = 6869283840.
The previous prime is 30123312047. The next prime is 30123312161. The reversal of 30123312120 is 2121332103.
30123312120 is a `hidden beast` number, since 301 + 233 + 12 + 120 = 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 = 30123312093 and 30123312102.
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 95 ways as a sum of consecutive naturals, for example, 11209417 + ... + 11212103.
It is an arithmetic number, because the mean of its divisors is an integer number (294840000).
Almost surely, 230123312120 is an apocalyptic number.
30123312120 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 30123312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280000).
30123312120 is an abundant number, since it is smaller than the sum of its proper divisors (83095247880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30123312120 is a wasteful number, since it uses less digits than its factorization.
30123312120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2883 (or 2876 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 30123312120 its reverse (2121332103), we get a palindrome (32244644223).
It can be divided in two parts, 30123 and 312120, that added together give a palindrome (342243).
The spelling of 30123312120 in words is "thirty billion, one hundred twenty-three million, three hundred twelve thousand, one hundred twenty".
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