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220201112110100 = 225211297732389273
BaseRepresentation
bin110010000100010110010001…
…000100010000010000010100
31001212200000120010000021222112
4302010112101010100100110
5212330233334200010400
62100154554442050152
764245001556145062
oct6204262104202024
91055600503007875
10220201112110100
1164187849178340
122084454aaa9958
1395b3b500c28a4
143c53b0d935032
151a6ce09d23835
hexc84591110414

220201112110100 has 144 divisors (see below), whose sum is σ = 539264139261120. Its totient is φ = 77310123340800.

The previous prime is 220201112110051. The next prime is 220201112110193. The reversal of 220201112110100 is 1011211102022.

It is a congruent number.

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, 2466559064 + ... + 2466648336.

It is an arithmetic number, because the mean of its divisors is an integer number (3744889855980).

Almost surely, 2220201112110100 is an apocalyptic number.

220201112110100 is a gapful number since it is divisible by the number (20) 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 220201112110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269632069630560).

220201112110100 is an abundant number, since it is smaller than the sum of its proper divisors (319063027151020).

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

220201112110100 is a wasteful number, since it uses less digits than its factorization.

220201112110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166650 (or 166643 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 220201112110100 its reverse (1011211102022), we get a palindrome (221212323212122).

The spelling of 220201112110100 in words is "two hundred twenty trillion, two hundred one billion, one hundred twelve million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 77323 89273 154646 178546 309292 357092 386615 446365 773230 850553 892730 982003 1546460 1701106 1785460 1933075 1964006 2231825 2242367 2588917 3402212 3866150 3928012 4252765 4463650 4484734 4910015 5177834 7732300 8505530 8927300 8969468 9820030 10355668 11211835 12944585 17011060 19640060 21263825 22423670 24550075 24666037 25889170 28478087 42527650 44847340 49100150 49332074 51778340 56059175 56956174 64722925 85055300 98200300 98664148 112118350 113912348 123330185 129445850 142390435 224236700 246660370 258891700 284780870 493320740 569561740 616650925 711952175 1233301850 1423904350 2466603700 2847808700 6902856179 13805712358 27611424716 34514280895 69028561790 75931417969 138057123580 151862835938 172571404475 200182829191 303725671876 345142808950 379657089845 400365658382 690285617900 759314179690 800731316764 1000914145955 1518628359380 1898285449225 2001828291910 2202011121101 3796570898450 4003656583820 4404022242202 5004570729775 7593141796900 8808044484404 10009141459550 11010055605505 20018282919100 22020111211010 44040222422020 55050278027525 110100556055050 220201112110100