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12312103233000 = 2335319321264427
BaseRepresentation
bin1011001100101010001010…
…0010100010010111101000
31121121000200122101001221110
42303022202202202113220
53103210141411424000
642104034021310320
72410343252510424
oct263124242422750
947530618331843
1012312103233000
113a175963321aa
12146a2025653a0
136b4045b8920c
14307ca2331b84
151653ece42850
hexb32a28a25e8

12312103233000 has 128 divisors (see below), whose sum is σ = 38612798939520. Its totient is φ = 3266215833600.

The previous prime is 12312103232983. The next prime is 12312103233029. The reversal of 12312103233000 is 33230121321.

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 31 ways as a sum of consecutive naturals, for example, 10053214 + ... + 11211213.

It is an arithmetic number, because the mean of its divisors is an integer number (301662491715).

Almost surely, 212312103233000 is an apocalyptic number.

12312103233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312103233000 is an abundant number, since it is smaller than the sum of its proper divisors (26300695706520).

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

12312103233000 is a wasteful number, since it uses less digits than its factorization.

12312103233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21264644 (or 21264630 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12312103233000 its reverse (33230121321), we get a palindrome (12345333354321).

The spelling of 12312103233000 in words is "twelve trillion, three hundred twelve billion, one hundred three million, two hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 193 200 250 300 375 386 500 579 600 750 772 965 1000 1158 1500 1544 1930 2316 2895 3000 3860 4632 4825 5790 7720 9650 11580 14475 19300 23160 24125 28950 38600 48250 57900 72375 96500 115800 144750 193000 289500 579000 21264427 42528854 63793281 85057708 106322135 127586562 170115416 212644270 255173124 318966405 425288540 510346248 531610675 637932810 850577080 1063221350 1275865620 1594832025 2126442700 2551731240 2658053375 3189664050 4104034411 4252885400 5316106750 6379328100 7974160125 8208068822 10632213500 12312103233 12758656200 15948320250 16416137644 20520172055 21264427000 24624206466 31896640500 32832275288 41040344110 49248412932 61560516165 63793281000 82080688220 98496825864 102600860275 123121032330 164161376440 205201720550 246242064660 307802580825 410403441100 492484129320 513004301375 615605161650 820806882200 1026008602750 1231210323300 1539012904125 2052017205500 2462420646600 3078025808250 4104034411000 6156051616500 12312103233000