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220211202011120 = 245233791367231001
BaseRepresentation
bin110010000100011111101010…
…011110001010111111110000
31001212200222121021221101010022
4302010133222132022333300
5212330420020203323440
62100203343555423012
764245506604661115
oct6204375236127760
91055628537841108
10220211202011120
1164191056706311
12208464a5bb4a68
1395b4a9a5c8c18
143c543c99ba90c
151a6d2eaa3dcb5
hexc847ea78aff0

220211202011120 has 160 divisors (see below), whose sum is σ = 536055331691520. Its totient is φ = 83970577152000.

The previous prime is 220211202011113. The next prime is 220211202011123. The reversal of 220211202011120 is 21110202112022.

It is a super-2 number, since 2×2202112020111202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220211202011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953175620 + ... + 953406620.

It is an arithmetic number, because the mean of its divisors is an integer number (3350345823072).

Almost surely, 2220211202011120 is an apocalyptic number.

220211202011120 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 220211202011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268027665845760).

220211202011120 is an abundant number, since it is smaller than the sum of its proper divisors (315844129680400).

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

220211202011120 is a wasteful number, since it uses less digits than its factorization.

220211202011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232783 (or 232777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220211202011120 its reverse (21110202112022), we get a palindrome (241321404123142).

The spelling of 220211202011120 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 379 460 758 920 1367 1516 1840 1895 2734 3032 3790 5468 6064 6835 7580 8717 10936 13670 15160 17434 21872 27340 30320 31441 34868 43585 54680 62882 69736 87170 109360 125764 139472 157205 174340 231001 251528 314410 348680 462002 503056 518093 628820 697360 924004 1036186 1155005 1257640 1848008 2072372 2310010 2515280 2590465 3696016 4144744 4620020 5180930 5313023 8289488 9240040 10361860 10626046 11916139 18480080 20723720 21252092 23832278 26565115 41447440 42504184 47664556 53130230 59580695 85008368 87549379 95329112 106260460 119161390 175098758 190658224 212520920 238322780 315778367 350197516 425041840 437746895 476645560 631556734 700395032 875493790 953291120 1263113468 1400790064 1578891835 1750987580 2013635717 2526226936 3157783670 3501975160 4027271434 5052453872 6315567340 7003950320 7262902441 8054542868 10068178585 12631134680 14525804882 16109085736 20136357170 25262269360 29051609764 32218171472 36314512205 40272714340 58103219528 72629024410 80545428680 116206439056 119680001093 145258048820 161090857360 239360002186 290516097640 478720004372 581032195280 598400005465 957440008744 1196800010930 1914880017488 2393600021860 2752640025139 4787200043720 5505280050278 9574400087440 11010560100556 13763200125695 22021120201112 27526400251390 44042240402224 55052800502780 110105601005560 220211202011120