Base | Representation |
---|---|
bin | 111001011011011101… |
… | …1011001011011000000 |
3 | 102210022221121000201000 |
4 | 1302312323121123000 |
5 | 4010033443430344 |
6 | 132353421212000 |
7 | 11624120423556 |
oct | 1626673313300 |
9 | 383287530630 |
10 | 123328108224 |
11 | 48337558092 |
12 | 1ba9a401000 |
13 | b82585b589 |
14 | 5d7d35bbd6 |
15 | 331c25ba69 |
hex | 1cb6ed96c0 |
123328108224 has 112 divisors (see below), whose sum is σ = 363012979840. Its totient is φ = 41058213120.
The previous prime is 123328108219. The next prime is 123328108231. The reversal of 123328108224 is 422801823321.
123328108224 is a `hidden beast` number, since 1 + 2 + 3 + 328 + 108 + 224 = 666.
It is a super-2 number, since 2×1233281082242 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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, 1357407 + ... + 1445409.
It is an arithmetic number, because the mean of its divisors is an integer number (3241187320).
Almost surely, 2123328108224 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 123328108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181506489920).
123328108224 is an abundant number, since it is smaller than the sum of its proper divisors (239684871616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123328108224 is an equidigital number, since it uses as much as digits as its factorization.
123328108224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 88835 (or 88819 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The spelling of 123328108224 in words is "one hundred twenty-three billion, three hundred twenty-eight million, one hundred eight thousand, two hundred twenty-four".
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