Base | Representation |
---|---|
bin | 1010001100000011100001… |
… | …0110011101100000111010 |
3 | 1110122220212222111011002000 |
4 | 2203000320112131200322 |
5 | 2432014121322320442 |
6 | 35454121234321430 |
7 | 2234222312635623 |
oct | 243007026354072 |
9 | 43586788434060 |
10 | 11202220120122 |
11 | 3629920242229 |
12 | 130b094a29276 |
13 | 63349869a875 |
14 | 2aa294450a4a |
15 | 1465de9c1d4c |
hex | a303859d83a |
11202220120122 has 128 divisors (see below), whose sum is σ = 27114980256000. Its totient is φ = 3414630401280.
The previous prime is 11202220120099. The next prime is 11202220120127. The reversal of 11202220120122 is 22102102220211.
It is a happy number.
11202220120122 is a `hidden beast` number, since 1 + 1 + 202 + 220 + 120 + 122 = 666.
It is a super-2 number, since 2×112022201201222 (a number of 27 digits) contains 22 as substring.
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 = 11202220120095 and 11202220120104.
It is not an unprimeable number, because it can be changed into a prime (11202220120127) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 113640768 + ... + 113739300.
It is an arithmetic number, because the mean of its divisors is an integer number (211835783250).
Almost surely, 211202220120122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11202220120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557490128000).
11202220120122 is an abundant number, since it is smaller than the sum of its proper divisors (15912760135878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11202220120122 is a wasteful number, since it uses less digits than its factorization.
11202220120122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 102413 (or 102407 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 11202220120122 its reverse (22102102220211), we get a palindrome (33304322340333).
The spelling of 11202220120122 in words is "eleven trillion, two hundred two billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty-two".
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