Base | Representation |
---|---|
bin | 100000001100001100111… |
… | …000001011101110011010 |
3 | 21211110212201222022210220 |
4 | 200030030320023232122 |
5 | 242220412244241442 |
6 | 4412122535020510 |
7 | 315551333362206 |
oct | 40141470135632 |
9 | 7743781868726 |
10 | 2212124212122 |
11 | 78317a4a2000 |
12 | 2b8883b0a736 |
13 | 1307aa688256 |
14 | 790d2c83b06 |
15 | 3c820a5aeec |
hex | 2030ce0bb9a |
2212124212122 has 128 divisors (see below), whose sum is σ = 4932762575616. Its totient is φ = 661240800000.
The previous prime is 2212124212097. The next prime is 2212124212171.
2212124212122 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 2212124212092 and 2212124212101.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223419372 + ... + 223429272.
It is an arithmetic number, because the mean of its divisors is an integer number (38537207622).
Almost surely, 22212124212122 is an apocalyptic number.
2212124212122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2212124212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466381287808).
2212124212122 is an abundant number, since it is smaller than the sum of its proper divisors (2720638363494).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2212124212122 is a wasteful number, since it uses less digits than its factorization.
2212124212122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10317 (or 10295 counting only the distinct ones).
The product of its digits is 1024, while the sum is 24.
The spelling of 2212124212122 in words is "two trillion, two hundred twelve billion, one hundred twenty-four million, two hundred twelve thousand, one hundred twenty-two".
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