Search a number
-
+
200012210220000 = 2535412161274117
BaseRepresentation
bin101101011110100011111000…
…101111011010101111100000
3222020011222110211022111112210
4231132203320233122233200
5202204000001304020000
61545220201344522120
760062256011422533
oct5536437057325740
9866158424274483
10200012210220000
115880377a3a8362
121a523858620340
13877b0bbb48729
1437568dd524a1a
15181cb9aed7350
hexb5e8f8bdabe0

200012210220000 has 240 divisors, whose sum is σ = 656136395106192. Its totient is φ = 53332008960000.

The previous prime is 200012210219963. The next prime is 200012210220007. The reversal of 200012210220000 is 22012210002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200012210220007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 729522942 + ... + 729797058.

Almost surely, 2200012210220000 is an apocalyptic number.

200012210220000 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 200012210220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328068197553096).

200012210220000 is an abundant number, since it is smaller than the sum of its proper divisors (456124184886192).

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

200012210220000 is a wasteful number, since it uses less digits than its factorization.

200012210220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286311 (or 286288 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200012210220000 its reverse (22012210002), we get a palindrome (200034222430002).

The spelling of 200012210220000 in words is "two hundred trillion, twelve billion, two hundred ten million, two hundred twenty thousand".