Base | Representation |
---|---|
bin | 111001011010110000… |
… | …1000101110110110000 |
3 | 102210021022001022022101 |
4 | 1302311201011312300 |
5 | 4010011413410440 |
6 | 132351213550144 |
7 | 11623412256016 |
oct | 1626541056660 |
9 | 383238038271 |
10 | 123304435120 |
11 | 48325159139 |
12 | 1ba924a5354 |
13 | b820990319 |
14 | 5d7a1588b6 |
15 | 331a13269a |
hex | 1cb5845db0 |
123304435120 has 80 divisors (see below), whose sum is σ = 292058807040. Its totient is φ = 48399840000.
The previous prime is 123304435103. The next prime is 123304435141. The reversal of 123304435120 is 21534403321.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2672245 + ... + 2717995.
It is an arithmetic number, because the mean of its divisors is an integer number (3650735088).
Almost surely, 2123304435120 is an apocalyptic number.
123304435120 is a gapful number since it is divisible by the number (10) 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 123304435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146029403520).
123304435120 is an abundant number, since it is smaller than the sum of its proper divisors (168754371920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123304435120 is a wasteful number, since it uses less digits than its factorization.
123304435120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 46394 (or 46388 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 28.
Adding to 123304435120 its reverse (21534403321), we get a palindrome (144838838441).
The spelling of 123304435120 in words is "one hundred twenty-three billion, three hundred four million, four hundred thirty-five thousand, one hundred twenty".
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