Base | Representation |
---|---|
bin | 100000001011010111000… |
… | …110100001001011000001 |
3 | 21211101112212022012220000 |
4 | 200023113012201023001 |
5 | 242212040313002241 |
6 | 4411453225310213 |
7 | 315520066612125 |
oct | 40132706411301 |
9 | 7741485265800 |
10 | 2211222000321 |
11 | 782857199a14 |
12 | 2b8671935369 |
13 | 130695798c09 |
14 | 7904910d585 |
15 | 3c7bb743eb6 |
hex | 202d71a12c1 |
2211222000321 has 20 divisors (see below), whose sum is σ = 3303514714500. Its totient is φ = 1474000177536.
The previous prime is 2211222000271. The next prime is 2211222000347. The reversal of 2211222000321 is 1230002221122.
2211222000321 is a `hidden beast` number, since 2 + 21 + 122 + 200 + 0 + 321 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1540239852096 + 670982148225 = 1241064^2 + 819135^2 .
It is not a de Polignac number, because 2211222000321 - 210 = 2211221999297 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 2211222000294 and 2211222000303.
It is not an unprimeable number, because it can be changed into a prime (2211222000371) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 552996 + ... + 2174453.
It is an arithmetic number, because the mean of its divisors is an integer number (165175735725).
Almost surely, 22211222000321 is an apocalyptic number.
It is an amenable number.
2211222000321 is a deficient number, since it is larger than the sum of its proper divisors (1092292714179).
2211222000321 is a wasteful number, since it uses less digits than its factorization.
2211222000321 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2737470 (or 2737461 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 2211222000321 its reverse (1230002221122), we get a palindrome (3441224221443).
The spelling of 2211222000321 in words is "two trillion, two hundred eleven billion, two hundred twenty-two million, three hundred twenty-one", and thus it is an aban number.
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