Base | Representation |
---|---|
bin | 11110111000011000011… |
… | …010011101000100001001 |
3 | 21111212120102121222211121 |
4 | 132320120122131010021 |
5 | 234232102044312301 |
6 | 4302520125555241 |
7 | 306214124356633 |
oct | 36703032350411 |
9 | 7455512558747 |
10 | 2122123432201 |
11 | 748a95398a53 |
12 | 2a3346a15b21 |
13 | 125166651ca6 |
14 | 749d5c21a53 |
15 | 3a3045c83a1 |
hex | 1ee1869d109 |
2122123432201 has 2 divisors, whose sum is σ = 2122123432202. Its totient is φ = 2122123432200.
The previous prime is 2122123432153. The next prime is 2122123432217. The reversal of 2122123432201 is 1022343212212.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 2016823182201 + 105300250000 = 1420149^2 + 324500^2 .
It is a cyclic number.
It is not a de Polignac number, because 2122123432201 - 223 = 2122115043593 is a prime.
It is a super-2 number, since 2×21221234322012 (a number of 25 digits) contains 22 as substring.
It is not a weakly prime, because it can be changed into another prime (2122123432271) 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 as a sum of consecutive naturals, namely, 1061061716100 + 1061061716101.
It is an arithmetic number, because the mean of its divisors is an integer number (1061061716101).
Almost surely, 22122123432201 is an apocalyptic number.
It is an amenable number.
2122123432201 is a deficient number, since it is larger than the sum of its proper divisors (1).
2122123432201 is an equidigital number, since it uses as much as digits as its factorization.
2122123432201 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 2304, while the sum is 25.
Adding to 2122123432201 its reverse (1022343212212), we get a palindrome (3144466644413).
The spelling of 2122123432201 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-three million, four hundred thirty-two thousand, two hundred one".
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