Base | Representation |
---|---|
bin | 1011000110110001111001… |
… | …0001110010011011010010 |
3 | 1121020100222112222022111010 |
4 | 2301230132101302123102 |
5 | 3100031313100031002 |
6 | 41545411335431350 |
7 | 2400136304303256 |
oct | 261543621623322 |
9 | 47210875868433 |
10 | 12211100002002 |
11 | 3988775676880 |
12 | 1452714825556 |
13 | 6a766a57aa85 |
14 | 30303dd62266 |
15 | 16298aad946c |
hex | b1b1e4726d2 |
12211100002002 has 64 divisors (see below), whose sum is σ = 27269699111424. Its totient is φ = 3613257123840.
The previous prime is 12211100001949. The next prime is 12211100002007. The reversal of 12211100002002 is 20020000111221.
12211100002002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×122111000020022 (a number of 27 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (12211100002007) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9459858 + ... + 10672914.
It is an arithmetic number, because the mean of its divisors is an integer number (426089048616).
Almost surely, 212211100002002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12211100002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13634849555712).
12211100002002 is an abundant number, since it is smaller than the sum of its proper divisors (15058599109422).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12211100002002 is a wasteful number, since it uses less digits than its factorization.
12211100002002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1216663.
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 12211100002002 its reverse (20020000111221), we get a palindrome (32231100113223).
The spelling of 12211100002002 in words is "twelve trillion, two hundred eleven billion, one hundred million, two thousand, two".
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