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220101121110 = 2351331313191367
BaseRepresentation
bin1100110011111100001…
…1001001010001010110
3210001010020002102211110
43030333003021101112
512101231341333420
6245040230515450
721621211442433
oct3147703112126
9701106072743
10220101121110
1185387387a92
12367a7505b86
13179a8940990
14a91d9aab8a
155ad3016ee0
hex333f0c9456

220101121110 has 128 divisors (see below), whose sum is σ = 571544709120. Its totient is φ = 53925221376.

The previous prime is 220101121063. The next prime is 220101121151. The reversal of 220101121110 is 11121101022.

220101121110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 161009647 + ... + 161011013.

It is an arithmetic number, because the mean of its divisors is an integer number (4465193040).

Almost surely, 2220101121110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220101121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285772354560).

220101121110 is an abundant number, since it is smaller than the sum of its proper divisors (351443588010).

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

220101121110 is a wasteful number, since it uses less digits than its factorization.

220101121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 220101121110 its reverse (11121101022), we get a palindrome (231222222132).

The spelling of 220101121110 in words is "two hundred twenty billion, one hundred one million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 313 390 626 939 1319 1367 1565 1878 2638 2734 3130 3957 4069 4101 4695 6595 6835 7914 8138 8202 9390 12207 13190 13670 17147 17771 19785 20345 20505 24414 34294 35542 39570 40690 41010 51441 53313 61035 85735 88855 102882 106626 122070 171470 177710 257205 266565 412847 427871 514410 533130 825694 855742 1238541 1283613 1803073 2064235 2139355 2477082 2567226 3606146 4128470 4278710 5367011 5409219 5562323 6192705 6418065 9015365 10734022 10818438 11124646 12385410 12836130 16101033 16686969 18030730 23439949 26835055 27046095 27811615 32202066 33373938 46879898 53670110 54092190 55623230 70319847 80505165 83434845 117199745 140639694 161010330 166869690 234399490 351599235 564361849 703198470 1128723698 1693085547 2821809245 3386171094 5643618490 7336704037 8465427735 14673408074 16930855470 22010112111 36683520185 44020224222 73367040370 110050560555 220101121110