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110020021222110 = 235239411549109391
BaseRepresentation
bin11001000001000000001000…
…010010000111101011011110
3112102112210220110000020121220
4121001000020102013223132
5103410032000413101420
61025554300000034210
732113453455222516
oct3101001022075336
9472483813006556
10110020021222110
113206825784474a
121040a74a602966
134950ac719984c
141d24dd6d8c846
15cabd17271840
hex641008487ade

110020021222110 has 128 divisors (see below), whose sum is σ = 276001791897600. Its totient is φ = 28014901516800.

The previous prime is 110020021222049. The next prime is 110020021222253. The reversal of 110020021222110 is 11222120020011.

110020021222110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110020021222110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1005695515 + ... + 1005804905.

It is an arithmetic number, because the mean of its divisors is an integer number (2156263999200).

Almost surely, 2110020021222110 is an apocalyptic number.

110020021222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110020021222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138000895948800).

110020021222110 is an abundant number, since it is smaller than the sum of its proper divisors (165981770675490).

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

110020021222110 is a wasteful number, since it uses less digits than its factorization.

110020021222110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111914.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110020021222110 its reverse (11222120020011), we get a palindrome (121242141242121).

The spelling of 110020021222110 in words is "one hundred ten trillion, twenty billion, twenty-one million, two hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 941 1549 1882 2823 3098 4647 4705 5646 7745 9294 9410 14115 15490 21643 23235 28230 35627 43286 46470 64929 71254 106881 108215 109391 129858 178135 213762 216430 218782 324645 328173 356270 534405 546955 649290 656346 1068810 1093910 1457609 1640865 2515993 2915218 3281730 4372827 5031986 7288045 7547979 8745654 12579965 14576090 15095958 21864135 25159930 33525007 37739895 43728270 67050014 75479790 100575021 102936931 167625035 169446659 201150042 205873862 308810793 335250070 338893318 502875105 508339977 514684655 617621586 847233295 1005750210 1016679954 1029369310 1544053965 1694466590 2367549413 2541699885 3088107930 3897273157 4735098826 5083399770 7102648239 7794546314 11691819471 11837747065 14205296478 19486365785 23383638942 23675494130 35513241195 38972731570 58459097355 71026482390 116918194710 159449306119 318898612238 478347918357 797246530595 956695836714 1594493061190 2391739591785 3667334040737 4783479183570 7334668081474 11002002122211 18336670203685 22004004244422 36673340407370 55010010611055 110020021222110