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111112221002020 = 2257210110911028939
BaseRepresentation
bin11001010000111001010100…
…011101101000100100100100
3112120102020001201120202222021
4121100321110131220210210
5104030430312034031040
61032152125531512524
732255410263166600
oct3120712435504444
9476366051522867
10111112221002020
113244947907a957
1210566361bb8744
1349ccab6c3ca74
141d61c08514500
15cca43d03b24a
hex650e54768924

111112221002020 has 144 divisors (see below), whose sum is σ = 274370242386240. Its totient is φ = 37683825312000.

The previous prime is 111112221002017. The next prime is 111112221002051. The reversal of 111112221002020 is 20200122211111.

It is a junction number, because it is equal to n+sod(n) for n = 111112221001985 and 111112221002003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107472711 + ... + 108501649.

It is an arithmetic number, because the mean of its divisors is an integer number (1905348905460).

Almost surely, 2111112221002020 is an apocalyptic number.

111112221002020 is a gapful number since it is divisible by the number (10) 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 111112221002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137185121193120).

111112221002020 is an abundant number, since it is smaller than the sum of its proper divisors (163258021384220).

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

111112221002020 is a wasteful number, since it uses less digits than its factorization.

111112221002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030154 (or 1030145 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111112221002020 its reverse (20200122211111), we get a palindrome (131312343213131).

The spelling of 111112221002020 in words is "one hundred eleven trillion, one hundred twelve billion, two hundred twenty-one million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 1010 1091 1414 2020 2182 2828 3535 4364 4949 5455 7070 7637 9898 10910 14140 15274 19796 21820 24745 30548 38185 49490 53459 76370 98980 106918 110191 152740 213836 220382 267295 440764 534590 550955 771337 1028939 1069180 1101910 1542674 2057878 2203820 3085348 3856685 4115756 5144695 5399359 7202573 7713370 10289390 10798718 14405146 15426740 20578780 21597436 26996795 28810292 36012865 50418011 53993590 72025730 100836022 103922839 107987180 144051460 201672044 207845678 252090055 415691356 504180110 519614195 727459873 1008360220 1039228390 1122572449 1454919746 2078456780 2245144898 2909839492 3637299365 4490289796 5092219111 5612862245 7274598730 7858007143 10184438222 11225724490 14549197460 15716014286 20368876444 22451448980 25461095555 31432028572 39290035715 50922191110 55006050001 78580071430 101844382220 110012100002 113379817349 157160142860 220024200004 226759634698 275030250005 453519269396 550060500010 566899086745 793658721443 1100121000020 1133798173490 1587317442886 2267596346980 3174634885772 3968293607215 5555611050101 7936587214430 11111222100202 15873174428860 22222444200404 27778055250505 55556110501010 111112221002020