Base | Representation |
---|---|
bin | 1011000111010011000101… |
… | …1010100011100101101101 |
3 | 1121021012222120121000202021 |
4 | 2301310301122203211231 |
5 | 3100203040304032341 |
6 | 41553443501230141 |
7 | 2400603156455611 |
oct | 261646132434555 |
9 | 47235876530667 |
10 | 12220011002221 |
11 | 39915286aa170 |
12 | 14543a0b62351 |
13 | 6a845a769479 |
14 | 30364760b341 |
15 | 162d0d0859d1 |
hex | b1d316a396d |
12220011002221 has 8 divisors (see below), whose sum is σ = 13333280198688. Its totient is φ = 11107134990000.
The previous prime is 12220011002179. The next prime is 12220011002279.
It is a happy number.
12220011002221 is nontrivially palindromic in base 10.
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is not a de Polignac number, because 12220011002221 - 213 = 12220010994029 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 12220011002195 and 12220011002204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12220011002281) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98231070 + ... + 98355391.
It is an arithmetic number, because the mean of its divisors is an integer number (1666660024836).
Almost surely, 212220011002221 is an apocalyptic number.
12220011002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
12220011002221 is a deficient number, since it is larger than the sum of its proper divisors (1113269196467).
12220011002221 is a wasteful number, since it uses less digits than its factorization.
12220011002221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 196592123.
The product of its (nonzero) digits is 64, while the sum is 16.
It can be divided in two parts, 1222001 and 1002221, that added together give a palindrome (2224222).
The spelling of 12220011002221 in words is "twelve trillion, two hundred twenty billion, eleven million, two thousand, two hundred twenty-one".
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