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110220220121000 = 23531120879479909
BaseRepresentation
bin11001000011111010100101…
…000100010011111110101000
3112110020221122122120001002212
4121003322211010103332220
5103421322002322333000
61030230245313144252
732134101542616623
oct3103724504237650
9473227578501085
10110220220121000
11321351509065a0
121044150085b088
134966950778a72
141d30989646dba
15cb2132dd3c35
hex643ea5113fa8

110220220121000 has 128 divisors (see below), whose sum is σ = 281376224064000. Its totient is φ = 40078076896000.

The previous prime is 110220220120993. The next prime is 110220220121027. The reversal of 110220220121000 is 121022022011.

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, 229429046 + ... + 229908954.

It is an arithmetic number, because the mean of its divisors is an integer number (2198251750500).

Almost surely, 2110220220121000 is an apocalyptic number.

110220220121000 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 110220220121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140688112032000).

110220220121000 is an abundant number, since it is smaller than the sum of its proper divisors (171156003943000).

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

110220220121000 is a wasteful number, since it uses less digits than its factorization.

110220220121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500820 (or 500806 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110220220121000 its reverse (121022022011), we get a palindrome (110341242143011).

The spelling of 110220220121000 in words is "one hundred ten trillion, two hundred twenty billion, two hundred twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 20879 41758 83516 104395 167032 208790 229669 417580 459338 479909 521975 835160 918676 959818 1043950 1148345 1837352 1919636 2087900 2296690 2399545 2609875 3839272 4175800 4593380 4799090 5219750 5278999 5741725 9186760 9598180 10439500 10557998 11483450 11997725 19196360 20879000 21115996 22966900 23995450 26394995 28708625 42231992 45933800 47990900 52789990 57417250 59988625 95981800 105579980 114834500 119977250 131974975 211159960 229669000 239954500 263949950 479909000 527899900 659874875 1055799800 1319749750 2639499500 5278999000 10020020011 20040040022 40080080044 50100100055 80160160088 100200200110 110220220121 200400400220 220440440242 250500500275 400800800440 440880880484 501001000550 551101100605 881761760968 1002002001100 1102202201210 1252502501375 2004004002200 2204404402420 2505005002750 2755505503025 4408808804840 5010010005500 5511011006050 10020020011000 11022022012100 13777527515125 22044044024200 27555055030250 55110110060500 110220220121000