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210012002001000 = 23325323334666889
BaseRepresentation
bin101111110000000100111010…
…110001110010000001101000
31000112120221200111202010121100
4233300010322301302001220
5210011314040003013000
62022354103135041400
762143603121211513
oct5760047261620150
91015527614663540
10210012002001000
1160a09654145361
121b679896670260
13902507bacc934
1439c08c6b31d7a
151942d629eaa00
hexbf013ac72068

210012002001000 has 96 divisors (see below), whose sum is σ = 709840566793800. Its totient is φ = 56003200531200.

The previous prime is 210012002000989. The next prime is 210012002001017. The reversal of 210012002001000 is 100200210012.

It can be written as a sum of positive squares in 4 ways, for example, as 95100762849444 + 114911239151556 = 9751962^2 + 10719666^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11667324445 + ... + 11667342444.

Almost surely, 2210012002001000 is an apocalyptic number.

210012002001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210012002001000 is an abundant number, since it is smaller than the sum of its proper divisors (499828564792800).

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

210012002001000 is a wasteful number, since it uses less digits than its factorization.

210012002001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23334666916 (or 23334666899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210012002001000 its reverse (100200210012), we get a palindrome (210112202211012).

The spelling of 210012002001000 in words is "two hundred ten trillion, twelve billion, two million, one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 23334666889 46669333778 70004000667 93338667556 116673334445 140008001334 186677335112 210012002001 233346668890 280016002668 350020003335 420024004002 466693337780 560032005336 583366672225 700040006670 840048008004 933386675560 1050060010005 1166733344450 1400080013340 1680096016008 1750100016675 2100120020010 2333466688900 2800160026680 2916833361125 3500200033350 4200240040020 4666933377800 5250300050025 5833666722250 7000400066700 8400480080040 8750500083375 10500600100050 11667333444500 14000800133400 17501000166750 21001200200100 23334666889000 26251500250125 35002000333500 42002400400200 52503000500250 70004000667000 105006001000500 210012002001000