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220212100012112 = 241373311811222993
BaseRepresentation
bin110010000100100000011111…
…111111110001100001010000
31001212201001220212200112220022
4302010200133333301201100
5212330423340100341422
62100204013035003012
764245541060602605
oct6204403777614120
91055631825615808
10220212100012112
11641914775a279a
12208466b6899468
1395b4bb1672760
143c54472d766ac
151a6d34e7c3342
hexc8481fff1850

220212100012112 has 80 divisors (see below), whose sum is σ = 460497834616848. Its totient is φ = 101411670712320.

The previous prime is 220212100012067. The next prime is 220212100012129. The reversal of 220212100012112 is 211210001212022.

It can be written as a sum of positive squares in 8 ways, for example, as 50674409011216 + 169537691000896 = 7118596^2 + 13020664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179448488 + ... + 180671480.

Almost surely, 2220212100012112 is an apocalyptic number.

It is an amenable number.

220212100012112 is an abundant number, since it is smaller than the sum of its proper divisors (240285734604736).

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

220212100012112 is a wasteful number, since it uses less digits than its factorization.

220212100012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224928 (or 1224922 counting only the distinct ones).

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

Adding to 220212100012112 its reverse (211210001212022), we get a palindrome (431422101224134).

The spelling of 220212100012112 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 733 1181 1466 2362 2932 4724 5864 9448 9529 11728 15353 18896 19058 30706 38116 61412 76232 122824 152464 245648 865673 1222993 1731346 2445986 3462692 4891972 6925384 9783944 11253749 13850768 15898909 19567888 22507498 31797818 45014996 63595636 90029992 127191272 180059984 254382544 896453869 1444354733 1792907738 2888709466 3585815476 5777418932 7171630952 11554837864 11653900297 14343261904 18776611529 23109675728 23307800594 37553223058 46615601188 75106446116 93231202376 150212892232 186462404752 300425784464 1058712019289 2117424038578 4234848077156 8469696154312 13763256250757 16939392308624 27526512501514 55053025003028 110106050006056 220212100012112