Base | Representation |
---|---|
bin | 1011000000010100110001… |
… | …0000101101010001111110 |
3 | 1120211202201220102102022100 |
4 | 2300011030100231101332 |
5 | 3041222203243233042 |
6 | 41422431201325530 |
7 | 2356132202463144 |
oct | 260051420552176 |
9 | 46752656372270 |
10 | 12100202321022 |
11 | 3945737838762 |
12 | 14351253368a6 |
13 | 69a0760b9bba |
14 | 2db91d867594 |
15 | 15eb49cc224c |
hex | b014c42d47e |
12100202321022 has 96 divisors (see below), whose sum is σ = 27670413888000. Its totient is φ = 3810951106560.
The previous prime is 12100202321017. The next prime is 12100202321033. The reversal of 12100202321022 is 22012320200121.
12100202321022 is a `hidden beast` number, since 121 + 0 + 0 + 202 + 321 + 0 + 22 = 666.
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 = 12100202320986 and 12100202321004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490688929 + ... + 490713587.
It is an arithmetic number, because the mean of its divisors is an integer number (288233478000).
Almost surely, 212100202321022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12100202321022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13835206944000).
12100202321022 is an abundant number, since it is smaller than the sum of its proper divisors (15570211566978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12100202321022 is a wasteful number, since it uses less digits than its factorization.
12100202321022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28446 (or 28443 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 12100202321022 its reverse (22012320200121), we get a palindrome (34112522521143).
The spelling of 12100202321022 in words is "twelve trillion, one hundred billion, two hundred two million, three hundred twenty-one thousand, twenty-two".
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