Base | Representation |
---|---|
bin | 11110101110111101001… |
… | …000101101111000000110 |
3 | 21110220110001121010100000 |
4 | 132232331020231320012 |
5 | 234100340020334342 |
6 | 4254123531102130 |
7 | 305405244553440 |
oct | 36567510557006 |
9 | 7426401533300 |
10 | 2112002121222 |
11 | 744771157234 |
12 | 2a13a12a1946 |
13 | 12421279bc96 |
14 | 74315921490 |
15 | 39e10c5644c |
hex | 1ebbd22de06 |
2112002121222 has 96 divisors (see below), whose sum is σ = 5424285484800. Its totient is φ = 603332087328.
The previous prime is 2112002121197. The next prime is 2112002121223. The reversal of 2112002121222 is 2221212002112.
It is a happy number.
2112002121222 is a `hidden beast` number, since 211 + 20 + 0 + 212 + 1 + 222 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2112002121195 and 2112002121204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2112002121223) 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, 22607304 + ... + 22700532.
It is an arithmetic number, because the mean of its divisors is an integer number (56502973800).
Almost surely, 22112002121222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2112002121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712142742400).
2112002121222 is an abundant number, since it is smaller than the sum of its proper divisors (3312283363578).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112002121222 is an equidigital number, since it uses as much as digits as its factorization.
2112002121222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 99912 (or 99900 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 2112002121222 its reverse (2221212002112), we get a palindrome (4333214123334).
The spelling of 2112002121222 in words is "two trillion, one hundred twelve billion, two million, one hundred twenty-one thousand, two hundred twenty-two".
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