Base | Representation |
---|---|
bin | 1010000000010100011100… |
… | …10111111001100110010010 |
3 | 2212220021222020020121221210 |
4 | 11000022032113321212102 |
5 | 10340431440021320033 |
6 | 114443114501400550 |
7 | 4430351343621054 |
oct | 500121627714622 |
9 | 85807866217853 |
10 | 22001211120018 |
11 | 701273011a259 |
12 | 2573b95109156 |
13 | c37922733b70 |
14 | 560c158d38d4 |
15 | 28247e348d63 |
hex | 14028e5f9992 |
22001211120018 has 128 divisors (see below), whose sum is σ = 49259688468480. Its totient is φ = 6507947255040.
The previous prime is 22001211120017. The next prime is 22001211120041. The reversal of 22001211120018 is 81002111210022.
It is a junction number, because it is equal to n+sod(n) for n = 22001211119976 and 22001211120003.
It is not an unprimeable number, because it can be changed into a prime (22001211120013) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69859821 + ... + 70174047.
It is an arithmetic number, because the mean of its divisors is an integer number (384841316160).
Almost surely, 222001211120018 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22001211120018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24629844234240).
22001211120018 is an abundant number, since it is smaller than the sum of its proper divisors (27258477348462).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22001211120018 is a wasteful number, since it uses less digits than its factorization.
22001211120018 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 314632.
The product of its (nonzero) digits is 128, while the sum is 21.
The spelling of 22001211120018 in words is "twenty-two trillion, one billion, two hundred eleven million, one hundred twenty thousand, eighteen".
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