Base | Representation |
---|---|
bin | 110010100000010010011001… |
… | …110111011000011101100101 |
3 | 1002010110120102001222120012200 |
4 | 302200102121313120131211 |
5 | 213103213013142041401 |
6 | 2104225010154405113 |
7 | 64533502113660354 |
oct | 6240223167303545 |
9 | 1063416361876180 |
10 | 222121110112101 |
11 | 64858040a77a02 |
12 | 20ab4686430799 |
13 | 96c2c13ca28b5 |
14 | 3cbca0d28999b |
15 | 1aa2d2e58a686 |
hex | ca0499dd8765 |
222121110112101 has 48 divisors (see below), whose sum is σ = 352350533618928. Its totient is φ = 134260740864000.
The previous prime is 222121110112073. The next prime is 222121110112103. The reversal of 222121110112101 is 101211011121222.
It is a happy number.
222121110112101 is a `hidden beast` number, since 2 + 221 + 211 + 10 + 11 + 210 + 1 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 164884244207076 + 57236865905025 = 12840726^2 + 7565505^2 .
It is not a de Polignac number, because 222121110112101 - 27 = 222121110111973 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (222121110112103) 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 47 ways as a sum of consecutive naturals, for example, 193671210 + ... + 194814731.
It is an arithmetic number, because the mean of its divisors is an integer number (7340636117061).
Almost surely, 2222121110112101 is an apocalyptic number.
It is an amenable number.
222121110112101 is a deficient number, since it is larger than the sum of its proper divisors (130229423506827).
222121110112101 is a wasteful number, since it uses less digits than its factorization.
222121110112101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 388486102 (or 388486099 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 18.
Adding to 222121110112101 its reverse (101211011121222), we get a palindrome (323332121233323).
The spelling of 222121110112101 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred ten million, one hundred twelve thousand, one hundred one".
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