Base | Representation |
---|---|
bin | 111000111010001011… |
… | …0110100000111110001 |
3 | 102200110002222022211121 |
4 | 1301310112310013301 |
5 | 4000242033101001 |
6 | 132050522342241 |
7 | 11554336150531 |
oct | 1616426640761 |
9 | 380402868747 |
10 | 122211222001 |
11 | 47914059a20 |
12 | 1b82835a981 |
13 | b6a834785b |
14 | 5cb4ca54c1 |
15 | 32a418c6a1 |
hex | 1c745b41f1 |
122211222001 has 48 divisors (see below), whose sum is σ = 146325579840. Its totient is φ = 101089618560.
The previous prime is 122211221983. The next prime is 122211222109. The reversal of 122211222001 is 100222112221.
It is a happy number.
It is not a de Polignac number, because 122211222001 - 213 = 122211213809 is a prime.
It is not an unprimeable number, because it can be changed into a prime (122211228001) 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 47 ways as a sum of consecutive naturals, for example, 22683630 + ... + 22689016.
It is an arithmetic number, because the mean of its divisors is an integer number (3048449580).
Almost surely, 2122211222001 is an apocalyptic number.
122211222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
122211222001 is a deficient number, since it is larger than the sum of its proper divisors (24114357839).
122211222001 is a wasteful number, since it uses less digits than its factorization.
122211222001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5662 (or 5643 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 122211222001 its reverse (100222112221), we get a palindrome (222433334222).
The spelling of 122211222001 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, one".
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