Base | Representation |
---|---|
bin | 11100000000110011010000… |
… | …000101110110001101000100 |
3 | 121011012211121001010211211100 |
4 | 130000303100011312031010 |
5 | 112122003240234042012 |
6 | 1114005241322140100 |
7 | 34643634050614533 |
oct | 3400632005661504 |
9 | 534184531124740 |
10 | 123200333112132 |
11 | 36289a71241171 |
12 | 11999072351630 |
13 | 539898429b1c3 |
14 | 225ccdc39a31a |
15 | e39acb6bd8dc |
hex | 700cd0176344 |
123200333112132 has 36 divisors (see below), whose sum is σ = 312305282600220. Its totient is φ = 40950441219072.
The previous prime is 123200333112029. The next prime is 123200333112163. The reversal of 123200333112132 is 231211333002321.
123200333112132 is a `hidden beast` number, since 1 + 2 + 3 + 200 + 3 + 331 + 121 + 3 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 19906731196416 + 103293601915716 = 4461696^2 + 10163346^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a junction number, because it is equal to n+sod(n) for n = 123200333112096 and 123200333112105.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4847340657 + ... + 4847366072.
It is an arithmetic number, because the mean of its divisors is an integer number (8675146738895).
Almost surely, 2123200333112132 is an apocalyptic number.
123200333112132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
123200333112132 is an abundant number, since it is smaller than the sum of its proper divisors (189104949488088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123200333112132 is a wasteful number, since it uses less digits than its factorization.
123200333112132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9694707092 (or 9694707087 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
Adding to 123200333112132 its reverse (231211333002321), we get a palindrome (354411666114453).
The spelling of 123200333112132 in words is "one hundred twenty-three trillion, two hundred billion, three hundred thirty-three million, one hundred twelve thousand, one hundred thirty-two".
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