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12003110213000 = 235325746704709
BaseRepresentation
bin1010111010101011000100…
…0111101101010110001000
31120111111010101111021221112
42232222301013231112020
53033124332203304000
641310052552425452
72346124155254624
oct256526107552610
946444111437845
1012003110213000
113908543881975
12141a3493a8288
13690b71b823ca
142d6d4cab4184
1515c365ed5235
hexaeab11ed588

12003110213000 has 64 divisors (see below), whose sum is σ = 28196567521200. Its totient is φ = 4782562099200.

The previous prime is 12003110212979. The next prime is 12003110213027. The reversal of 12003110213000 is 31201130021.

12003110213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5078181124324 + 6924929088676 = 2253482^2 + 2631526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23095355 + ... + 23609354.

Almost surely, 212003110213000 is an apocalyptic number.

12003110213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003110213000 is an abundant number, since it is smaller than the sum of its proper divisors (16193457308200).

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

12003110213000 is a wasteful number, since it uses less digits than its factorization.

12003110213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46704987 (or 46704973 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12003110213000 its reverse (31201130021), we get a palindrome (12034311343021).

The spelling of 12003110213000 in words is "twelve trillion, three billion, one hundred ten million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 1000 1028 1285 2056 2570 5140 6425 10280 12850 25700 32125 51400 64250 128500 257000 46704709 93409418 186818836 233523545 373637672 467047090 934094180 1167617725 1868188360 2335235450 4670470900 5838088625 9340941800 11676177250 12003110213 23352354500 24006220426 46704709000 48012440852 60015551065 96024881704 120031102130 240062204260 300077755325 480124408520 600155510650 1200311021300 1500388776625 2400622042600 3000777553250 6001555106500 12003110213000