Base | Representation |
---|---|
bin | 111001011100001111… |
… | …0111110100000000000 |
3 | 102210101202201020211120 |
4 | 1302320132332200000 |
5 | 4010112134243402 |
6 | 132400152512240 |
7 | 11624555335110 |
oct | 1627036764000 |
9 | 383352636746 |
10 | 123354212352 |
11 | 48350267548 |
12 | 1baa70ab680 |
13 | b82b09b1c7 |
14 | 5d829d5040 |
15 | 331e6b63bc |
hex | 1cb87be800 |
123354212352 has 192 divisors, whose sum is σ = 392189091840. Its totient is φ = 33711439872.
The previous prime is 123354212327. The next prime is 123354212389. The reversal of 123354212352 is 253212453321.
123354212352 is digitally balanced in base 3, 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 (192).
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 926833 + ... + 1051535.
It is an arithmetic number, because the mean of its divisors is an integer number (2042651520).
Almost surely, 2123354212352 is an apocalyptic number.
123354212352 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 123354212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196094545920).
123354212352 is an abundant number, since it is smaller than the sum of its proper divisors (268834879488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123354212352 is a wasteful number, since it uses less digits than its factorization.
123354212352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 124758 (or 124738 counting only the distinct ones).
The product of its digits is 43200, while the sum is 33.
Adding to 123354212352 its reverse (253212453321), we get a palindrome (376566665673).
The spelling of 123354212352 in words is "one hundred twenty-three billion, three hundred fifty-four million, two hundred twelve thousand, three hundred fifty-two".
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