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200013211213200 = 243352711415866247
BaseRepresentation
bin101101011110100100110100…
…011001111001110110010000
3222020012002001120212020002000
4231132210310121321312100
5202204004024032310300
61545220444543354000
760062322554631210
oct5536446431716620
9866162046766060
10200013211213200
115880414343a370
121a523a978b2900
13877b21b3429b8
143756996450240
15181cc08d12c00
hexb5e934679d90

200013211213200 has 960 divisors, whose sum is σ = 909210246819840. Its totient is φ = 40547492352000.

The previous prime is 200013211213199. The next prime is 200013211213219. The reversal of 200013211213200 is 2312112310002.

200013211213200 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 1 + 321 + 1 + 21 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31162477 + ... + 37028723.

It is an arithmetic number, because the mean of its divisors is an integer number (947094007104).

Almost surely, 2200013211213200 is an apocalyptic number.

200013211213200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200013211213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454605123409920).

200013211213200 is an abundant number, since it is smaller than the sum of its proper divisors (709197035606640).

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

200013211213200 is a wasteful number, since it uses less digits than its factorization.

200013211213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866333 (or 5866316 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200013211213200 its reverse (2312112310002), we get a palindrome (202325323523202).

The spelling of 200013211213200 in words is "two hundred trillion, thirteen billion, two hundred eleven million, two hundred thirteen thousand, two hundred".