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2002011031200 = 253521515524313
BaseRepresentation
bin11101001000100001001…
…010000000011010100000
321002101112120221211011010
4131020201022000122200
5230300104310444300
64131413340220520
7264432461662545
oct35104112003240
97071476854133
102002011031200
11702059042344
1228400553a740
13116a340a176b
146cc7d9babcc
153712481da50
hex1d2212806a0

2002011031200 has 144 divisors (see below), whose sum is σ = 6559703027136. Its totient is φ = 530333952000.

The previous prime is 2002011031159. The next prime is 2002011031211. The reversal of 2002011031200 is 21301102002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399757 + ... + 3124556.

It is an arithmetic number, because the mean of its divisors is an integer number (45553493244).

Almost surely, 22002011031200 is an apocalyptic number.

2002011031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002011031200 is an abundant number, since it is smaller than the sum of its proper divisors (4557691995936).

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

2002011031200 is a wasteful number, since it uses less digits than its factorization.

2002011031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524487 (or 5524474 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2002011031200 its reverse (21301102002), we get a palindrome (2023312133202).

The spelling of 2002011031200 in words is "two trillion, two billion, eleven million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 151 160 200 240 300 302 400 453 480 600 604 755 800 906 1200 1208 1510 1812 2265 2400 2416 3020 3624 3775 4530 4832 6040 7248 7550 9060 11325 12080 14496 15100 18120 22650 24160 30200 36240 45300 60400 72480 90600 120800 181200 362400 5524313 11048626 16572939 22097252 27621565 33145878 44194504 55243130 66291756 82864695 88389008 110486260 132583512 138107825 165729390 176778016 220972520 265167024 276215650 331458780 414323475 441945040 530334048 552431300 662917560 828646950 834171263 883890080 1104862600 1325835120 1657293900 1668342526 2209725200 2502513789 2651670240 3314587800 3336685052 4170856315 4419450400 5005027578 6629175600 6673370104 8341712630 10010055156 12512568945 13258351200 13346740208 16683425260 20020110312 20854281575 25025137890 26693480416 33366850520 40040220624 41708563150 50050275780 62562844725 66733701040 80080441248 83417126300 100100551560 125125689450 133467402080 166834252600 200201103120 250251378900 333668505200 400402206240 500502757800 667337010400 1001005515600 2002011031200