Base | Representation |
---|---|
bin | 111111001111011… |
… | …0100110110010001 |
3 | 12110212221021111000 |
4 | 1332132310312101 |
5 | 13321213310001 |
6 | 550322012213 |
7 | 103404534036 |
oct | 17636646621 |
9 | 5425837430 |
10 | 2122010001 |
11 | 999901581 |
12 | 4b27a7069 |
13 | 27a826127 |
14 | 161b7938d |
15 | c6463a86 |
hex | 7e7b4d91 |
2122010001 has 32 divisors (see below), whose sum is σ = 3202416000. Its totient is φ = 1388496384.
The previous prime is 2122009999. The next prime is 2122010029. The reversal of 2122010001 is 1000102212.
2122010001 = 38382 + 38392 + ... + 39762.
It is not a de Polignac number, because 2122010001 - 21 = 2122009999 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (2122010071) 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 31 ways as a sum of consecutive naturals, for example, 330841 + ... + 337193.
It is an arithmetic number, because the mean of its divisors is an integer number (100075500).
Almost surely, 22122010001 is an apocalyptic number.
It is an amenable number.
2122010001 is a deficient number, since it is larger than the sum of its proper divisors (1080405999).
2122010001 is a wasteful number, since it uses less digits than its factorization.
2122010001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6590 (or 6584 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 2122010001 is about 46065.2797777241. The cubic root of 2122010001 is about 1285.0375217536.
Adding to 2122010001 its reverse (1000102212), we get a palindrome (3122112213).
The spelling of 2122010001 in words is "two billion, one hundred twenty-two million, ten thousand, one".
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