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12103033300100 = 22521743300155171
BaseRepresentation
bin1011000000011111010100…
…0000000010010010000100
31120212001001012102001112022
42300013311000002102010
53041244003011100400
641424020131142312
72356262306425361
oct260076500022204
946761035361468
1012103033300100
11394695a855196
121435795444998
1369a407772952
142dbb0b833468
1515ec635cab85
hexb01f5002484

12103033300100 has 144 divisors (see below), whose sum is σ = 28465205985216. Its totient is φ = 4448908800000.

The previous prime is 12103033300097. The next prime is 12103033300133. The reversal of 12103033300100 is 100333030121.

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 47 ways as a sum of consecutive naturals, for example, 219345515 + ... + 219400685.

It is an arithmetic number, because the mean of its divisors is an integer number (197675041564).

Almost surely, 212103033300100 is an apocalyptic number.

12103033300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103033300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232602992608).

12103033300100 is an abundant number, since it is smaller than the sum of its proper divisors (16362172685116).

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

12103033300100 is a wasteful number, since it uses less digits than its factorization.

12103033300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58246 (or 58239 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 12103033300100 its reverse (100333030121), we get a palindrome (12203366330221).

The spelling of 12103033300100 in words is "twelve trillion, one hundred three billion, thirty-three million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 43 50 68 85 86 100 170 172 215 340 425 430 731 850 860 1075 1462 1700 2150 2924 3001 3655 4300 6002 7310 12004 14620 15005 18275 30010 36550 51017 55171 60020 73100 75025 102034 110342 129043 150050 204068 220684 255085 258086 275855 300100 510170 516172 551710 645215 937907 1020340 1103420 1275425 1290430 1379275 1875814 2193731 2372353 2550850 2580860 2758550 3226075 3751628 4387462 4689535 4744706 5101700 5517100 6452150 8774924 9379070 9489412 10968655 11861765 12904300 18758140 21937310 23447675 23723530 40330001 43874620 46895350 47447060 54843275 59308825 80660002 93790700 109686550 118617650 161320004 165568171 201650005 219373100 237235300 331136342 403300010 662272684 806600020 827840855 1008250025 1655681710 2016500050 2814658907 3311363420 4033000100 4139204275 5629317814 7119431353 8278408550 11258635628 14073294535 14238862706 16556817100 28146589070 28477725412 35597156765 56293178140 70366472675 71194313530 121030333001 140732945350 142388627060 177985783825 242060666002 281465890700 355971567650 484121332004 605151665005 711943135300 1210303330010 2420606660020 3025758325025 6051516650050 12103033300100