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200210113200012 = 22319899901996511
BaseRepresentation
bin101101100001011100001100…
…101011010111111110001100
3222020212220022000200112102020
4231201130030223113332030
5202220220302434400022
61545451131204330140
760112463150123616
oct5541341453277614
9866786260615366
10200210113200012
115887a6a5486393
121a5560899a3950
13879396a881276
143762314cd3db6
151822dd02d235c
hexb6170cad7f8c

200210113200012 has 96 divisors (see below), whose sum is σ = 497320075929600. Its totient is φ = 62507484864000.

The previous prime is 200210113200007. The next prime is 200210113200047. The reversal of 200210113200012 is 210002311012002.

It is a junction number, because it is equal to n+sod(n) for n = 200210113199964 and 200210113200000.

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, 200412837 + ... + 201409347.

It is an arithmetic number, because the mean of its divisors is an integer number (5180417457600).

Almost surely, 2200210113200012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200210113200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248660037964800).

200210113200012 is an abundant number, since it is smaller than the sum of its proper divisors (297109962729588).

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

200210113200012 is a wasteful number, since it uses less digits than its factorization.

200210113200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006527 (or 1006525 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 200210113200012 its reverse (210002311012002), we get a palindrome (410212424212014).

The spelling of 200210113200012 in words is "two hundred trillion, two hundred ten billion, one hundred thirteen million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 114 178 228 267 356 534 1068 1691 3382 5073 6764 9901 10146 19802 20292 29703 39604 59406 118812 188119 376238 564357 752476 881189 996511 1128714 1762378 1993022 2257428 2643567 2989533 3524756 3986044 5287134 5979066 10574268 11958132 16742591 18933709 33485182 37867418 50227773 56801127 66970364 75734836 88689479 100455546 113602254 177378958 200911092 227204508 266068437 354757916 532136874 1064273748 1685100101 3370200202 5055300303 6740400404 9866455411 10110600606 19732910822 20221201212 29599366233 39465821644 59198732466 118397464932 187462652809 374925305618 562387958427 749850611236 878114531579 1124775916854 1756229063158 2249551833708 2634343594737 3512458126316 5268687189474 10537374378948 16684176100001 33368352200002 50052528300003 66736704400004 100105056600006 200210113200012