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220211200111112 = 237177320171570991
BaseRepresentation
bin110010000100011111101010…
…010110111011001000001000
31001212200222121011100211210122
4302010133222112323020020
5212330420014212023422
62100203343451002412
764245506552555540
oct6204375226731010
91055628534324718
10220211200111112
1164191055628861
12208464a5439408
1395b4a9a0b2162
143c543c9644320
151a6d2ea7b5d42
hexc847ea5bb208

220211200111112 has 128 divisors (see below), whose sum is σ = 506734655063040. Its totient is φ = 87564418744320.

The previous prime is 220211200111103. The next prime is 220211200111171. The reversal of 220211200111112 is 211111002112022.

It is a super-2 number, since 2×2202112001111122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139387937 + ... + 140958927.

It is an arithmetic number, because the mean of its divisors is an integer number (3958864492680).

Almost surely, 2220211200111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220211200111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253367327531520).

220211200111112 is an abundant number, since it is smaller than the sum of its proper divisors (286523454951928).

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

220211200111112 is a wasteful number, since it uses less digits than its factorization.

220211200111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573111 (or 1573107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 220211200111112 its reverse (211111002112022), we get a palindrome (431322202223134).

The spelling of 220211200111112 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 73 119 136 146 238 292 476 511 584 952 1022 1241 2017 2044 2482 4034 4088 4964 8068 8687 9928 14119 16136 17374 28238 34289 34748 56476 68578 69496 112952 137156 147241 240023 274312 294482 480046 588964 960092 1030687 1177928 1570991 1920184 2061374 2503097 3141982 4122748 5006194 6283964 8245496 10012388 10996937 12567928 17521679 20024776 21993874 26706847 35043358 43987748 53413694 70086716 87975496 106827388 114682343 140173432 186947929 213654776 229364686 373895858 458729372 747791716 802776401 917458744 1495583432 1605552802 1949599831 3168688847 3211105604 3899199662 6337377694 6422211208 7798399324 12674755388 13647198817 15596798648 22180821929 25349510776 27294397634 44361643858 53867710399 54588795268 88723287716 107735420798 109177590536 177446575432 215470841596 231314285831 377073972793 430941683192 462628571662 754147945586 925257143324 1508295891172 1619200000817 1850514286648 3016591782344 3238400001634 3932342859127 6476800003268 7864685718254 12953600006536 15729371436508 27526400013889 31458742873016 55052800027778 110105600055556 220211200111112