Base | Representation |
---|---|
bin | 1010000011110101011110… |
… | …10001001110010000000100 |
3 | 2220022211210202102101121200 |
4 | 11001322233101032100010 |
5 | 10344421400124231040 |
6 | 115014414444142500 |
7 | 4442156221206351 |
oct | 501725721162004 |
9 | 86284722371550 |
10 | 22122022102020 |
11 | 7059995836135 |
12 | 2593490537a30 |
13 | c46136947929 |
14 | 5669d6823628 |
15 | 2856a05e5630 |
hex | 141eaf44e404 |
22122022102020 has 36 divisors (see below), whose sum is σ = 67103467043340. Its totient is φ = 5899205893824.
The previous prime is 22122022102009. The next prime is 22122022102031. The reversal of 22122022102020 is 2020122022122.
22122022102020 is a `hidden beast` number, since 2 + 21 + 220 + 221 + 0 + 202 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (22122022102009) and next prime (22122022102031).
It can be written as a sum of positive squares in 2 ways, for example, as 9805628383236 + 12316393718784 = 3131394^2 + 3509472^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×221220221020202 (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 = 22122022101984 and 22122022102002.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61450061215 + ... + 61450061574.
Almost surely, 222122022102020 is an apocalyptic number.
22122022102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22122022102020 is an abundant number, since it is smaller than the sum of its proper divisors (44981444941320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22122022102020 is a wasteful number, since it uses less digits than its factorization.
22122022102020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122900122804 (or 122900122799 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22122022102020 its reverse (2020122022122), we get a palindrome (24142144124142).
The spelling of 22122022102020 in words is "twenty-two trillion, one hundred twenty-two billion, twenty-two million, one hundred two thousand, twenty".
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