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221220112112 = 24232947441043
BaseRepresentation
bin1100111000000110111…
…1110000011011110000
3210011000012200001220122
43032001233300123300
512111024322041422
6245343242425412
721661016633036
oct3160157603360
9704005601818
10221220112112
1185900a9353a
1236a5a202268
1317b2671072c
14a9c8450556
155b4b39ed42
hex3381bf06f0

221220112112 has 80 divisors (see below), whose sum is σ = 472516899840. Its totient is φ = 99978928896.

The previous prime is 221220112103. The next prime is 221220112151. The reversal of 221220112112 is 211211022122.

221220112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281063 + ... + 722105.

It is an arithmetic number, because the mean of its divisors is an integer number (5906461248).

Almost surely, 2221220112112 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 221220112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236258449920).

221220112112 is an abundant number, since it is smaller than the sum of its proper divisors (251296787728).

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

221220112112 is a wasteful number, since it uses less digits than its factorization.

221220112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441150 (or 441144 counting only the distinct ones).

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

Adding to 221220112112 its reverse (211211022122), we get a palindrome (432431134234).

The spelling of 221220112112 in words is "two hundred twenty-one billion, two hundred twenty million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 29 46 47 58 92 94 116 184 188 232 368 376 464 667 752 1081 1334 1363 2162 2668 2726 4324 5336 5452 8648 10672 10904 17296 21808 31349 62698 125396 250792 441043 501584 882086 1764172 3528344 7056688 10143989 12790247 20287978 20729021 25580494 40575956 41458042 51160988 81151912 82916084 102321976 162303824 165832168 204643952 294175681 331664336 476767483 588351362 601141609 953534966 1176702724 1202283218 1907069932 2353405448 2404566436 3814139864 4706810896 4809132872 7628279728 9618265744 13826257007 27652514014 55305028028 110610056056 221220112112