Base | Representation |
---|---|
bin | 111001010100101111… |
… | …0001000100110000000 |
3 | 102202202012202110202020 |
4 | 1302221132020212000 |
5 | 4004103144131222 |
6 | 132315154121440 |
7 | 11615406365640 |
oct | 1625136104600 |
9 | 382665673666 |
10 | 123102333312 |
11 | 48231070052 |
12 | 1ba36880280 |
13 | b7bab4b45a |
14 | 5d5b38a520 |
15 | 330751065c |
hex | 1ca9788980 |
123102333312 has 128 divisors (see below), whose sum is σ = 373997606400. Its totient is φ = 35144417280.
The previous prime is 123102333311. The next prime is 123102333317. The reversal of 123102333312 is 213333201321.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123102333311) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3528112 + ... + 3562832.
It is an arithmetic number, because the mean of its divisors is an integer number (2921856300).
Almost surely, 2123102333312 is an apocalyptic number.
123102333312 is a gapful number since it is divisible by the number (12) 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 123102333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186998803200).
123102333312 is an abundant number, since it is smaller than the sum of its proper divisors (250895273088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123102333312 is a wasteful number, since it uses less digits than its factorization.
123102333312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36064 (or 36052 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 24.
Adding to 123102333312 its reverse (213333201321), we get a palindrome (336435534633).
The spelling of 123102333312 in words is "one hundred twenty-three billion, one hundred two million, three hundred thirty-three thousand, three hundred twelve".
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