Base | Representation |
---|---|
bin | 1001100110101111001100… |
… | …11010111000011101100010 |
3 | 2202210021010211101021200000 |
4 | 10303113212122320131202 |
5 | 10232031301310013442 |
6 | 112531225223240430 |
7 | 4310013205444542 |
oct | 463274632703542 |
9 | 82707124337600 |
10 | 21122220001122 |
11 | 6803979598819 |
12 | 24517648a9116 |
13 | ba2a8067c066 |
14 | 53046c7b3322 |
15 | 269686420d4c |
hex | 1335e66b8762 |
21122220001122 has 48 divisors (see below), whose sum is σ = 47611432071840. Its totient is φ = 7018245572832.
The previous prime is 21122220001039. The next prime is 21122220001123. The reversal of 21122220001122 is 22110002222112.
It is a happy number.
21122220001122 is a `hidden beast` number, since 211 + 222 + 200 + 0 + 11 + 22 = 666.
It is a super-2 number, since 2×211222200011222 (a number of 27 digits) contains 22 as substring.
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 = 21122220001095 and 21122220001104.
It is not an unprimeable number, because it can be changed into a prime (21122220001123) 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, 69274972 + ... + 69579207.
It is an arithmetic number, because the mean of its divisors is an integer number (991904834830).
Almost surely, 221122220001122 is an apocalyptic number.
21122220001122 is an abundant number, since it is smaller than the sum of its proper divisors (26489212070718).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21122220001122 is a wasteful number, since it uses less digits than its factorization.
21122220001122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 138854509 (or 138854497 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 21122220001122 its reverse (22110002222112), we get a palindrome (43232222223234).
The spelling of 21122220001122 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, one thousand, one hundred twenty-two".
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