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110201212110220 = 225721126357387857
BaseRepresentation
bin11001000011101000111000…
…000110100000010110001100
3112110012010120221122001020121
4121003220320012200112030
5103421014040300011340
61030213423221354324
732132526524320600
oct3103507006402614
9473163527561217
10110201212110220
1132128087329780
1210439896b689a4
134964c11764cca
141d2daa4dc5500
15cb18be2b594a
hex643a381a058c

110201212110220 has 144 divisors (see below), whose sum is σ = 293690973919392. Its totient is φ = 34347037992960.

The previous prime is 110201212110203. The next prime is 110201212110287. The reversal of 110201212110220 is 22011212102011.

It is a junction number, because it is equal to n+sod(n) for n = 110201212110194 and 110201212110203.

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, 283934532 + ... + 284322388.

It is an arithmetic number, because the mean of its divisors is an integer number (2039520652218).

Almost surely, 2110201212110220 is an apocalyptic number.

110201212110220 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 110201212110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146845486959696).

110201212110220 is an abundant number, since it is smaller than the sum of its proper divisors (183489761809172).

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

110201212110220 is a wasteful number, since it uses less digits than its factorization.

110201212110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414248 (or 414239 counting only the distinct ones).

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

Adding to 110201212110220 its reverse (22011212102011), we get a palindrome (132212424212231).

The spelling of 110201212110220 in words is "one hundred ten trillion, two hundred one billion, two hundred twelve million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 26357 52714 105428 131785 184499 263570 289927 368998 387857 527140 579854 737996 775714 922495 1159708 1291493 1449635 1551428 1844990 1939285 2029489 2582986 2714999 2899270 3689980 3878570 4058978 4266427 5165972 5429998 5798540 6457465 7757140 8117956 8532854 10147445 10859996 12914930 13574995 14206423 17065708 19004993 20294890 21332135 25829860 27149990 28412846 29864989 38009986 40589780 42664270 54299980 56825692 59729978 71032115 76019972 85328540 95024965 119459956 142064230 149324945 190049930 209054923 284128460 298649890 380099860 418109846 597299780 836219692 1045274615 2090549230 4181098460 10222746949 20445493898 40890987796 51113734745 71559228643 102227469490 112450216439 143118457286 204454938980 224900432878 286236914572 357796143215 449800865756 500914600501 562251082195 715592286430 787151515073 1001829201002 1124502164390 1431184572860 1574303030146 2003658402004 2249004328780 2504573002505 3148606060292 3935757575365 5009146005010 5510060605511 7871515150730 10018292010020 11020121211022 15743030301460 22040242422044 27550303027555 55100606055110 110201212110220