Base | Representation |
---|---|
bin | 111001011011010000… |
… | …1000111101110110100 |
3 | 102210022110122001212100 |
4 | 1302312201013232310 |
5 | 4010030213020040 |
6 | 132353013422100 |
7 | 11624005034415 |
oct | 1626641075664 |
9 | 383273561770 |
10 | 123321220020 |
11 | 48333682959 |
12 | 1ba9803a930 |
13 | b8242b920b |
14 | 5d7c48780c |
15 | 331b84ab30 |
hex | 1cb6847bb4 |
123321220020 has 36 divisors (see below), whose sum is σ = 374074367940. Its totient is φ = 32885658624.
The previous prime is 123321219997. The next prime is 123321220031. The reversal of 123321220020 is 20022123321.
123321220020 is a `hidden beast` number, since 1 + 233 + 212 + 200 + 20 = 666.
123321220020 is digitally balanced in base 3, 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 67430586276 + 55890633744 = 259674^2 + 236412^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 123321219975 and 123321220002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342558765 + ... + 342559124.
It is an arithmetic number, because the mean of its divisors is an integer number (10390954665).
Almost surely, 2123321220020 is an apocalyptic number.
123321220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
123321220020 is an abundant number, since it is smaller than the sum of its proper divisors (250753147920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123321220020 is a wasteful number, since it uses less digits than its factorization.
123321220020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 685117904 (or 685117899 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 123321220020 its reverse (20022123321), we get a palindrome (143343343341).
The spelling of 123321220020 in words is "one hundred twenty-three billion, three hundred twenty-one million, two hundred twenty thousand, twenty".
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