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20110343310222 = 23112891528920357
BaseRepresentation
bin1001001001010010011011…
…10111101000101110001110
32122012112022101212110010020
410210221031313220232032
510113441440341411342
6110434321510123010
74143632024464524
oct444511567505616
978175271773106
1020110343310222
116453826583200
122309629350466
13b2b521963b89
144d74bac8a314
1524d1b21950ec
hex124a4dde8b8e

20110343310222 has 96 divisors (see below), whose sum is σ = 44711371504800. Its totient is φ = 6024880942080.

The previous prime is 20110343310203. The next prime is 20110343310223. The reversal of 20110343310222 is 22201334301102.

It is a junction number, because it is equal to n+sod(n) for n = 20110343310192 and 20110343310201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110343310223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987873268 + ... + 987893624.

It is an arithmetic number, because the mean of its divisors is an integer number (465743453175).

Almost surely, 220110343310222 is an apocalyptic number.

20110343310222 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 20110343310222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22355685752400).

20110343310222 is an abundant number, since it is smaller than the sum of its proper divisors (24601028194578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20110343310222 is a wasteful number, since it uses less digits than its factorization.

20110343310222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35762 (or 35751 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20110343310222 its reverse (22201334301102), we get a palindrome (42311677611324).

The spelling of 20110343310222 in words is "twenty trillion, one hundred ten billion, three hundred forty-three million, three hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 89 121 178 242 267 363 534 726 979 1958 2937 5874 10769 15289 20357 21538 30578 32307 40714 45867 61071 64614 91734 122142 168179 223927 336358 447854 504537 671781 1009074 1343562 1360721 1811773 1849969 2463197 2721442 3623546 3699938 4082163 4926394 5435319 5549907 7389591 8164326 10870638 11099814 14779182 14967931 19929503 29935862 39859006 44903793 59788509 89807586 119577018 164647241 219224533 311238173 329294482 438449066 493941723 622476346 657673599 933714519 987883446 1315347198 1867429038 3423619903 6847239806 10270859709 20541719418 27700197397 37659818933 55400394794 75319637866 83100592191 112979456799 166201184382 225958913598 304702171367 609404342734 914106514101 1828213028202 3351723885037 6703447770074 10055171655111 20110343310222