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201002223120200 = 235242011300118401
BaseRepresentation
bin101101101100111101111010…
…000110111010111101001000
3222100200121212112020200122122
4231230331322012322331020
5202321210023104321300
61551255051353110412
760223634316265535
oct5554757206727510
9870617775220578
10201002223120200
115905562291a367
121a6636b19b8408
138820574cc2758
14378c7b9405d8c
1518387e0a8cc85
hexb6cf7a1baf48

201002223120200 has 96 divisors (see below), whose sum is σ = 467502770619720. Its totient is φ = 80371200000000.

The previous prime is 201002223120199. The next prime is 201002223120211. The reversal of 201002223120200 is 2021322200102.

It can be written as a sum of positive squares in 12 ways, for example, as 28103760484804 + 172898462635396 = 5301298^2 + 13149086^2 .

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, 10923431000 + ... + 10923449400.

Almost surely, 2201002223120200 is an apocalyptic number.

201002223120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002223120200 is an abundant number, since it is smaller than the sum of its proper divisors (266500547499520).

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

201002223120200 is a wasteful number, since it uses less digits than its factorization.

201002223120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35619 (or 35610 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 201002223120200 its reverse (2021322200102), we get a palindrome (203023545320302).

The spelling of 201002223120200 in words is "two hundred one trillion, two billion, two hundred twenty-three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4201 8402 13001 16804 18401 21005 26002 33608 36802 42010 52004 65005 73604 84020 92005 104008 105025 130010 147208 168040 184010 210050 260020 325025 368020 420100 460025 520040 650050 736040 840200 920050 1300100 1840100 2600200 3680200 54617201 77302601 109234402 154605202 218468804 239231401 273086005 309210404 386513005 436937608 478462802 546172010 618420808 773026010 956925604 1092344020 1196157005 1365430025 1546052020 1913851208 1932565025 2184688040 2392314010 2730860050 3092104040 3865130050 4784628020 5461720100 5980785025 7730260100 9569256040 10923440200 11961570050 15460520200 23923140100 47846280200 1005011115601 2010022231202 4020044462404 5025055578005 8040088924808 10050111156010 20100222312020 25125277890025 40200444624040 50250555780050 100501111560100 201002223120200