Base | Representation |
---|---|
bin | 100000001100000110001… |
… | …100100001000111101010 |
3 | 21211110120221000112210200 |
4 | 200030012030201013222 |
5 | 242220200044231442 |
6 | 4412103452053030 |
7 | 315545502431664 |
oct | 40140614410752 |
9 | 7743527015720 |
10 | 2212012102122 |
11 | 78312218a109 |
12 | 2b8852464176 |
13 | 130790394684 |
14 | 790c201d534 |
15 | 3c815cb334c |
hex | 203063211ea |
2212012102122 has 48 divisors (see below), whose sum is σ = 4849769852928. Its totient is φ = 728585330400.
The previous prime is 2212012102121. The next prime is 2212012102159.
It is a happy number.
2212012102122 is a `hidden beast` number, since 221 + 20 + 1 + 210 + 212 + 2 = 666.
2212012102122 is nontrivially palindromic in base 10.
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 = 2212012102095 and 2212012102104.
It is not an unprimeable number, because it can be changed into a prime (2212012102121) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295018 + ... + 2123925.
It is an arithmetic number, because the mean of its divisors is an integer number (101036871936).
Almost surely, 22212012102122 is an apocalyptic number.
2212012102122 is an abundant number, since it is smaller than the sum of its proper divisors (2637757750806).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2212012102122 is a wasteful number, since it uses less digits than its factorization.
2212012102122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2419555 (or 2419552 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The spelling of 2212012102122 in words is "two trillion, two hundred twelve billion, twelve million, one hundred two thousand, one hundred twenty-two".
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