Base | Representation |
---|---|
bin | 10110111111010101… |
… | …01001100101000000 |
3 | 1011212011110121122100 |
4 | 23133222221211000 |
5 | 200234130342422 |
6 | 5400421110400 |
7 | 614566646631 |
oct | 133752514500 |
9 | 34764417570 |
10 | 12342434112 |
11 | 5263a89478 |
12 | 2485558400 |
13 | 121909c068 |
14 | 8512b9888 |
15 | 4c38627ac |
hex | 2dfaa9940 |
12342434112 has 84 divisors (see below), whose sum is σ = 37458409716. Its totient is φ = 3872133120.
The previous prime is 12342434099. The next prime is 12342434119. The reversal of 12342434112 is 21143424321.
12342434112 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 243 + 411 + 2 = 666.
12342434112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 9640097856 + 2702336256 = 98184^2 + 51984^2 .
It is a super-2 number, since 2×123424341122 (a number of 21 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12342434119) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 620439 + ... + 640022.
It is an arithmetic number, because the mean of its divisors is an integer number (445933449).
Almost surely, 212342434112 is an apocalyptic number.
12342434112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
12342434112 is an abundant number, since it is smaller than the sum of its proper divisors (25115975604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12342434112 is a wasteful number, since it uses less digits than its factorization.
12342434112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1260496 (or 1260483 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
Adding to 12342434112 its reverse (21143424321), we get a palindrome (33485858433).
The spelling of 12342434112 in words is "twelve billion, three hundred forty-two million, four hundred thirty-four thousand, one hundred twelve".
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