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220110120211120 = 24544344985916103
BaseRepresentation
bin110010000011000001100001…
…100001101101001010110000
31001212100022200201200220020221
4302003001201201231022300
5212322241011233223440
62100045105425542424
764235300653600546
oct6203014141551260
91055308621626227
10220110120211120
11641521a5666927
122082a995aa4a14
1395a83ab93b849
143c4d55add7d96
151a6a881865d4a
hexc8306186d2b0

220110120211120 has 160 divisors (see below), whose sum is σ = 514683968832000. Its totient is φ = 87542182920192.

The previous prime is 220110120211103. The next prime is 220110120211123. The reversal of 220110120211120 is 21112021011022.

It is a super-2 number, since 2×2201101202111202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 220110120211094 and 220110120211103.

It is not an unprimeable number, because it can be changed into a prime (220110120211123) 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, 13668880989 + ... + 13668897091.

It is an arithmetic number, because the mean of its divisors is an integer number (3216774805200).

Almost surely, 2220110120211120 is an apocalyptic number.

220110120211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220110120211120 is an abundant number, since it is smaller than the sum of its proper divisors (294573848620880).

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

220110120211120 is a wasteful number, since it uses less digits than its factorization.

220110120211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17867 (or 17861 counting only the distinct ones).

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

Adding to 220110120211120 its reverse (21112021011022), we get a palindrome (241222141222142).

The spelling of 220110120211120 in words is "two hundred twenty trillion, one hundred ten billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 443 449 859 886 898 1718 1772 1796 2215 2245 3436 3544 3592 4295 4430 4490 6872 7088 7184 8590 8860 8980 13744 16103 17180 17720 17960 32206 34360 35440 35920 64412 68720 80515 128824 161030 198907 257648 322060 380537 385691 397814 644120 761074 771382 795628 994535 1288240 1522148 1542764 1591256 1902685 1928455 1989070 3044296 3085528 3182512 3805370 3856910 3978140 6088592 6171056 7133629 7230247 7610740 7713820 7956280 13832477 14267258 14460494 15221480 15427640 15912560 27664954 28534516 28920988 30442960 30855280 35668145 36151235 55329908 57069032 57841976 69162385 71336290 72302470 110659816 114138064 115683952 138324770 142672580 144604940 170861113 221319632 276649540 285345160 289209880 341722226 553299080 570690320 578419760 683444452 854305565 1106598160 1366888904 1708611130 2733777808 3202999421 3417222260 6127787311 6210782173 6405998842 6834444520 12255574622 12421564346 12811997684 13668889040 16014997105 24511149244 24843128692 25623995368 30638936555 31053910865 32029994210 49022298488 49686257384 51247990736 61277873110 62107821730 64059988420 98044596976 99372514768 122555746220 124215643460 128119976840 245111492440 248431286920 256239953680 490222984880 496862573840 2751376502639 5502753005278 11005506010556 13756882513195 22011012021112 27513765026390 44022024042224 55027530052780 110055060105560 220110120211120