Base | Representation |
---|---|
bin | 100000001100001011100… |
… | …011011111110011011010 |
3 | 21211110211012012110010200 |
4 | 200030023203133303122 |
5 | 242220341103341442 |
6 | 4412120423123030 |
7 | 315550643601162 |
oct | 40141343376332 |
9 | 7743735173120 |
10 | 2212102012122 |
11 | 783168a098a2 |
12 | 2b88785a3476 |
13 | 1307a5bb4662 |
14 | 790cdd455a2 |
15 | 3c81db2334c |
hex | 2030b8dfcda |
2212102012122 has 24 divisors (see below), whose sum is σ = 4794890664564. Its totient is φ = 737059187904.
The previous prime is 2212102012117. The next prime is 2212102012171.
It is a happy number.
2212102012122 is a `hidden beast` number, since 221 + 210 + 20 + 1 + 212 + 2 = 666.
2212102012122 is nontrivially palindromic in base 10.
2212102012122 is digitally balanced in base 2, 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 1964793727521 + 247308284601 = 1401711^2 + 497301^2 .
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 = 2212102012095 and 2212102012104.
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, 25634853 + ... + 25721000.
Almost surely, 22212102012122 is an apocalyptic number.
2212102012122 is an abundant number, since it is smaller than the sum of its proper divisors (2582788652442).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2212102012122 is a wasteful number, since it uses less digits than its factorization.
2212102012122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51358254 (or 51358251 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The spelling of 2212102012122 in words is "two trillion, two hundred twelve billion, one hundred two million, twelve thousand, one hundred twenty-two".
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