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2010001002000 = 243533110806457
BaseRepresentation
bin11101001111111101011…
…001010100111000010000
321010011011102111101120120
4131033331121110320100
5230412440224031000
64135214241110240
7265134461422215
oct35177531247020
97104142441516
102010001002000
1170548918a6a2
12285675328380
13117708512934
146d3dabd3b0c
1537440ed76a0
hex1d3fd654e10

2010001002000 has 160 divisors (see below), whose sum is σ = 6689283953664. Its totient is φ = 518709888000.

The previous prime is 2010001001993. The next prime is 2010001002011. The reversal of 2010001002000 is 2001000102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2010001002000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5217229 + ... + 5589228.

Almost surely, 22010001002000 is an apocalyptic number.

2010001002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010001002000 is an abundant number, since it is smaller than the sum of its proper divisors (4679282951664).

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

2010001002000 is a wasteful number, since it uses less digits than its factorization.

2010001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10806514 (or 10806498 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2010001002000 its reverse (2001000102), we get a palindrome (2012002002102).

The spelling of 2010001002000 in words is "two trillion, ten billion, one million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2480 3000 3100 3720 3875 4650 6000 6200 7440 7750 9300 11625 12400 15500 18600 23250 31000 37200 46500 62000 93000 186000 10806457 21612914 32419371 43225828 54032285 64838742 86451656 108064570 129677484 162096855 172903312 216129140 259354968 270161425 324193710 335000167 432258280 518709936 540322850 648387420 670000334 810484275 864516560 1005000501 1080645700 1296774840 1340000668 1350807125 1620968550 1675000835 2010001002 2161291400 2593549680 2680001336 2701614250 3241937100 3350001670 4020002004 4052421375 4322582800 5025002505 5360002672 5403228500 6483874200 6700003340 8040004008 8104842750 8375004175 10050005010 10806457000 12967748400 13400006680 16080008016 16209685500 16750008350 20100010020 21612914000 25125012525 26800013360 32419371000 33500016700 40200020040 41875020875 50250025050 64838742000 67000033400 80400040080 83750041750 100500050100 125625062625 134000066800 167500083500 201000100200 251250125250 335000167000 402000200400 502500250500 670000334000 1005000501000 2010001002000