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220110102200020 = 225311096135313263
BaseRepresentation
bin110010000011000001100000…
…011100111111111011010100
31001212100022122110210211200011
4302003001200130333323110
5212322240442130400040
62100045103543530004
764235300344524214
oct6203014034777324
91055308573724604
10220110102200020
116415219648491a
122082a98ba59904
1395a83a7ca37a6
143c4d55886a244
151a6a87eea93ea
hexc8306073fed4

220110102200020 has 96 divisors (see below), whose sum is σ = 482304951152640. Its totient is φ = 84284487636480.

The previous prime is 220110102200003. The next prime is 220110102200111. The reversal of 220110102200020 is 20002201011022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38769909 + ... + 44083171.

It is an arithmetic number, because the mean of its divisors is an integer number (5024009907840).

Almost surely, 2220110102200020 is an apocalyptic number.

220110102200020 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 220110102200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241152475576320).

220110102200020 is an abundant number, since it is smaller than the sum of its proper divisors (262194848952620).

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

220110102200020 is a wasteful number, since it uses less digits than its factorization.

220110102200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314025 (or 5314023 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220110102200020 its reverse (20002201011022), we get a palindrome (240112303211042).

The spelling of 220110102200020 in words is "two hundred twenty trillion, one hundred ten billion, one hundred two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 109 124 155 218 310 436 545 613 620 1090 1226 2180 2452 3065 3379 6130 6758 12260 13516 16895 19003 33790 38006 66817 67580 76012 95015 133634 190030 267268 334085 380060 668170 1336340 2071327 4142654 5313263 8285308 10356635 10626526 20713270 21253052 26566315 41426540 53132630 106265260 164711153 329422306 579145667 658844612 823555765 1158291334 1647111530 2316582668 2895728335 3257030219 3294223060 5791456670 6514060438 11582913340 13028120876 16285151095 17953515677 32570302190 35907031354 65140604380 71814062708 89767578385 100967936789 179535156770 201935873578 355016293871 359070313540 403871747156 504839683945 710032587742 1009679367890 1420065175484 1775081469355 2019358735780 3550162938710 7100325877420 11005505110001 22011010220002 44022020440004 55027525550005 110055051100010 220110102200020