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112302022303212 = 223724315728290599
BaseRepresentation
bin11001100010001101011010…
…001001011001110111101100
3112201121222011000122022022020
4121202031122021121313230
5104204424020202200322
61034502500430550140
732440360542323100
oct3142153211316754
9481558130568266
10112302022303212
1132868024978645
1210718a74068350
134a8805c61a341
141da3638355900
15ceb3776ba05c
hex66235a259dec

112302022303212 has 144 divisors (see below), whose sum is σ = 313895296915200. Its totient is φ = 31140479680128.

The previous prime is 112302022303127. The next prime is 112302022303283. The reversal of 112302022303212 is 212303220203211.

It is a super-3 number, since 3×1123020223032123 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10175712 + ... + 18114887.

It is an arithmetic number, because the mean of its divisors is an integer number (2179828450800).

Almost surely, 2112302022303212 is an apocalyptic number.

112302022303212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112302022303212 is an abundant number, since it is smaller than the sum of its proper divisors (201593274611988).

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

112302022303212 is a wasteful number, since it uses less digits than its factorization.

112302022303212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28290820 (or 28290811 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 112302022303212 its reverse (212303220203211), we get a palindrome (324605242506423).

The spelling of 112302022303212 in words is "one hundred twelve trillion, three hundred two billion, twenty-two million, three hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 157 172 196 258 294 301 314 471 516 588 602 628 903 942 1099 1204 1806 1884 2107 2198 3297 3612 4214 4396 6321 6594 6751 7693 8428 12642 13188 13502 15386 20253 23079 25284 27004 30772 40506 46158 47257 81012 92316 94514 141771 189028 283542 330799 567084 661598 992397 1323196 1984794 3969588 28290599 56581198 84871797 113162396 169743594 198034193 339487188 396068386 594102579 792136772 1188205158 1216495757 1386239351 2376410316 2432991514 2772478702 3649487271 4158718053 4441624043 4865983028 5544957404 7298974542 8317436106 8515470299 8883248086 13324872129 14597949084 16634872212 17030940598 17766496172 25546410897 26649744258 31091368301 34061881196 51092821794 53299488516 59608292093 62182736602 93274104903 102185643588 119216584186 124365473204 178824876279 186548209806 190989833849 217639578107 238433168372 357649752558 373096419612 381979667698 435279156214 572969501547 652918734321 715299505116 763959335396 870558312428 1145939003094 1305837468642 1336928836943 2291878006188 2611674937284 2673857673886 4010786510829 5347715347772 8021573021658 9358501858601 16043146043316 18717003717202 28075505575803 37434007434404 56151011151606 112302022303212