| Base | Representation |
|---|---|
| bin | 1010000011001100110101… |
| … | …01100100001010100110100 |
| 3 | 2220020202111002020102222110 |
| 4 | 11001212122230201110310 |
| 5 | 10344042203214200040 |
| 6 | 115000405341531020 |
| 7 | 4440454416230232 |
| oct | 501463254412464 |
| 9 | 86222432212873 |
| 10 | 22100202100020 |
| 11 | 7050708a30730 |
| 12 | 258b200b73a70 |
| 13 | c4406a198945 |
| 14 | 565926939952 |
| 15 | 284d24bbe980 |
| hex | 14199ab21534 |
22100202100020 has 384 divisors, whose sum is σ = 73661754378240. Its totient is φ = 4892300052480.
The previous prime is 22100202100019. The next prime is 22100202100037. The reversal of 22100202100020 is 2000120200122.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 22100202099969 and 22100202100005.
It is a congruent number.
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 127 ways as a sum of consecutive naturals, for example, 49423282 + ... + 49868438.
It is an arithmetic number, because the mean of its divisors is an integer number (191827485360).
Almost surely, 222100202100020 is an apocalyptic number.
22100202100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22100202100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36830877189120).
22100202100020 is an abundant number, since it is smaller than the sum of its proper divisors (51561552278220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22100202100020 is a wasteful number, since it uses less digits than its factorization.
22100202100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 445343 (or 445341 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 22100202100020 its reverse (2000120200122), we get a palindrome (24100322300142).
It can be divided in two parts, 22100202 and 100020, that added together give a palindrome (22200222).
The spelling of 22100202100020 in words is "twenty-two trillion, one hundred billion, two hundred two million, one hundred thousand, twenty".
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