Base | Representation |
---|---|
bin | 11110111000010111001… |
… | …000110001110001011100 |
3 | 21111212111221100012111000 |
4 | 132320113020301301130 |
5 | 234232031104134322 |
6 | 4302514043030300 |
7 | 306213444363135 |
oct | 36702710616134 |
9 | 7455457305430 |
10 | 2122102021212 |
11 | 748a842a4618 |
12 | 2a333b80b390 |
13 | 125162096574 |
14 | 749d304ac8c |
15 | 3a3027993ac |
hex | 1ee17231c5c |
2122102021212 has 144 divisors (see below), whose sum is σ = 5602952628000. Its totient is φ = 694586062080.
The previous prime is 2122102021189. The next prime is 2122102021217. The reversal of 2122102021212 is 2121202012212.
It is a happy number.
2122102021212 is a `hidden beast` number, since 212 + 210 + 20 + 212 + 12 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2122102021217) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394366762 + ... + 394372142.
It is an arithmetic number, because the mean of its divisors is an integer number (38909393250).
Almost surely, 22122102021212 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2122102021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801476314000).
2122102021212 is an abundant number, since it is smaller than the sum of its proper divisors (3480850606788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122102021212 is a wasteful number, since it uses less digits than its factorization.
2122102021212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6561 (or 6494 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 2122102021212 its reverse (2121202012212), we get a palindrome (4243304033424).
The spelling of 2122102021212 in words is "two trillion, one hundred twenty-two billion, one hundred two million, twenty-one thousand, two hundred twelve".
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