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12201111332310 = 23543379103924019
BaseRepresentation
bin1011000110001100101011…
…1010000010010111010110
31121012102012102112022121210
42301203022322002113112
53044400334000113220
641541040235522250
72366333625101265
oct261431272022726
947172172468553
1012201111332310
11398450a2a045a
1214507a75b9386
136a6738029834
1430277350c5dc
151625a3c186e0
hexb18cae825d6

12201111332310 has 128 divisors (see below), whose sum is σ = 30072886272000. Its totient is φ = 3166396313472.

The previous prime is 12201111332303. The next prime is 12201111332317. The reversal of 12201111332310 is 1323311110221.

It is an interprime number because it is at equal distance from previous prime (12201111332303) and next prime (12201111332317).

It is a super-2 number, since 2×122011113323102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201111332317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507965481 + ... + 507989499.

It is an arithmetic number, because the mean of its divisors is an integer number (234944424000).

Almost surely, 212201111332310 is an apocalyptic number.

12201111332310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201111332310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036443136000).

12201111332310 is an abundant number, since it is smaller than the sum of its proper divisors (17871774939690).

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

12201111332310 is a wasteful number, since it uses less digits than its factorization.

12201111332310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25490.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12201111332310 its reverse (1323311110221), we get a palindrome (13524422442531).

The spelling of 12201111332310 in words is "twelve trillion, two hundred one billion, one hundred eleven million, three hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 379 430 645 758 1039 1137 1290 1895 2078 2274 3117 3790 5195 5685 6234 10390 11370 15585 16297 24019 31170 32594 44677 48038 48891 72057 81485 89354 97782 120095 134031 144114 162970 223385 240190 244455 268062 360285 393781 446770 488910 670155 720570 787562 1032817 1181343 1340310 1968905 2065634 2362686 3098451 3937810 5164085 5906715 6196902 9103201 10328170 11813430 15492255 16932583 18206402 24955741 27309603 30984510 33865166 45516005 49911482 50797749 54619206 74867223 84662915 91032010 101595498 124778705 136548015 149734446 169325830 249557410 253988745 273096030 374336115 391437643 507977490 748672230 782875286 1073096863 1174312929 1957188215 2146193726 2348625858 3219290589 3914376430 5365484315 5871564645 6438581178 9458225839 10730968630 11743129290 16096452945 18916451678 28374677517 32192905890 47291129195 56749355034 94582258390 141873387585 283746775170 406703711077 813407422154 1220111133231 2033518555385 2440222266462 4067037110770 6100555666155 12201111332310