Base | Representation |
---|---|
bin | 1010001001111001000100… |
… | …10101110001000101011010 |
3 | 2221001201220211120220211220 |
4 | 11010330202111301011122 |
5 | 10411324031420301242 |
6 | 115254151133432510 |
7 | 4463203653426501 |
oct | 504744225610532 |
9 | 87051824526756 |
10 | 22330111103322 |
11 | 712a168633780 |
12 | 260788503b736 |
13 | c5c949a6c3b9 |
14 | 572ad6d39838 |
15 | 28accdc95bec |
hex | 144f2257115a |
22330111103322 has 128 divisors (see below), whose sum is σ = 52758528768000. Its totient is φ = 6226879276800.
The previous prime is 22330111103317. The next prime is 22330111103347.
22330111103322 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 22330111103292 and 22330111103301.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27390672 + ... + 28194132.
It is an arithmetic number, because the mean of its divisors is an integer number (412176006000).
Almost surely, 222330111103322 is an apocalyptic number.
22330111103322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22330111103322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26379264384000).
22330111103322 is an abundant number, since it is smaller than the sum of its proper divisors (30428417664678).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22330111103322 is a wasteful number, since it uses less digits than its factorization.
22330111103322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 804132.
The product of its (nonzero) digits is 1296, while the sum is 24.
It can be divided in two parts, 2233011 and 1103322, that added together give a palindrome (3336333).
The spelling of 22330111103322 in words is "twenty-two trillion, three hundred thirty billion, one hundred eleven million, one hundred three thousand, three hundred twenty-two".
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