Base | Representation |
---|---|
bin | 1011001100101010111011… |
… | …1111000010001100110000 |
3 | 1121121001020012021001120200 |
4 | 2303022232333002030300 |
5 | 3103211103334430000 |
6 | 42104110440435200 |
7 | 2410351366324143 |
oct | 263125677021460 |
9 | 47531205231520 |
10 | 12312312030000 |
11 | 3a17693183504 |
12 | 146a260478b00 |
13 | 6b407a203638 |
14 | 307cc1d6405a |
15 | 165411438500 |
hex | b32aefc2330 |
12312312030000 has 600 divisors, whose sum is σ = 44652241933728. Its totient is φ = 3163442688000.
The previous prime is 12312312029999. The next prime is 12312312030019. The reversal of 12312312030000 is 3021321321.
12312312030000 is a `hidden beast` number, since 1 + 2 + 312 + 31 + 20 + 300 + 0 + 0 = 666.
12312312030000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (600).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 342972052 + ... + 343007948.
Almost surely, 212312312030000 is an apocalyptic number.
12312312030000 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 12312312030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22326120966864).
12312312030000 is an abundant number, since it is smaller than the sum of its proper divisors (32339929903728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12312312030000 is a wasteful number, since it uses less digits than its factorization.
12312312030000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 36071 (or 36047 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 12312312030000 its reverse (3021321321), we get a palindrome (12315333351321).
The spelling of 12312312030000 in words is "twelve trillion, three hundred twelve billion, three hundred twelve million, thirty thousand".
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