Base | Representation |
---|---|
bin | 111001011011001110… |
… | …0111011101100000000 |
3 | 102210022101120021211002 |
4 | 1302312130323230000 |
5 | 4010024422401422 |
6 | 132352534111132 |
7 | 11623662512465 |
oct | 1626634735400 |
9 | 383271507732 |
10 | 123320122112 |
11 | 48332aa2aa0 |
12 | 1ba977ab4a8 |
13 | b823cc3575 |
14 | 5d7c27d66c |
15 | 331b6d0692 |
hex | 1cb673bb00 |
123320122112 has 72 divisors (see below), whose sum is σ = 268637621952. Its totient is φ = 56033510400.
The previous prime is 123320122111. The next prime is 123320122129. The reversal of 123320122112 is 211221023321.
123320122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (123320122111) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 9373523 + ... + 9386669.
Almost surely, 2123320122112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 123320122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134318810976).
123320122112 is an abundant number, since it is smaller than the sum of its proper divisors (145317499840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123320122112 is a wasteful number, since it uses less digits than its factorization.
123320122112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16505 (or 16491 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
Adding to 123320122112 its reverse (211221023321), we get a palindrome (334541145433).
The spelling of 123320122112 in words is "one hundred twenty-three billion, three hundred twenty million, one hundred twenty-two thousand, one hundred twelve".
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