Base | Representation |
---|---|
bin | 100000010100101001111… |
… | …001110101101111011101 |
3 | 21212100022022210000220100 |
4 | 200110221321311233131 |
5 | 242343004441321341 |
6 | 4420223344411313 |
7 | 316322302001136 |
oct | 40245171655735 |
9 | 7770268700810 |
10 | 2221201120221 |
11 | 787008142446 |
12 | 2ba597916b39 |
13 | 1315c60554a5 |
14 | 79714598c8d |
15 | 3cba287a3b6 |
hex | 20529e75bdd |
2221201120221 has 12 divisors (see below), whose sum is σ = 3209310817180. Its totient is φ = 1480381116480.
The previous prime is 2221201120217. The next prime is 2221201120399. The reversal of 2221201120221 is 1220211021222.
It is a happy number.
2221201120221 is a `hidden beast` number, since 2 + 221 + 201 + 1 + 20 + 221 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 361766160900 + 1859434959321 = 601470^2 + 1363611^2 .
It is not a de Polignac number, because 2221201120221 - 22 = 2221201120217 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 2221201120194 and 2221201120203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2221201120921) 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 11 ways as a sum of consecutive naturals, for example, 34935670 + ... + 34999191.
Almost surely, 22221201120221 is an apocalyptic number.
It is an amenable number.
2221201120221 is a deficient number, since it is larger than the sum of its proper divisors (988109696959).
2221201120221 is a wasteful number, since it uses less digits than its factorization.
2221201120221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 69938396 (or 69938393 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 2221201120221 its reverse (1220211021222), we get a palindrome (3441412141443).
It can be divided in two parts, 222120 and 1120221, that added together give a triangular number (1342341 = T1638).
The spelling of 2221201120221 in words is "two trillion, two hundred twenty-one billion, two hundred one million, one hundred twenty thousand, two hundred twenty-one".
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