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200022010010200 = 235274328697115783
BaseRepresentation
bin101101011110101101000000…
…110110101001101001011000
3222020012220202210100102110101
4231132231000312221221120
5202204130034030311300
61545224502020225144
760063053605314460
oct5536550066515130
9866186683312411
10200022010010200
11588079490a6824
121a52573253b1b4
13877bcc1207261
14375718cc4cba0
15181d0714e8b6a
hexb5eb40da9a58

200022010010200 has 192 divisors, whose sum is σ = 543870867893760. Its totient is φ = 66981202283520.

The previous prime is 200022010010177. The next prime is 200022010010201. The reversal of 200022010010200 is 2010010220002.

200022010010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200022010010201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1727501509 + ... + 1727617291.

It is an arithmetic number, because the mean of its divisors is an integer number (2832660770280).

Almost surely, 2200022010010200 is an apocalyptic number.

200022010010200 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 200022010010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271935433946880).

200022010010200 is an abundant number, since it is smaller than the sum of its proper divisors (343848857883560).

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

200022010010200 is a wasteful number, since it uses less digits than its factorization.

200022010010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144546 (or 144537 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200022010010200 its reverse (2010010220002), we get a palindrome (202032020230202).

The spelling of 200022010010200 in words is "two hundred trillion, twenty-two billion, ten million, ten thousand, two hundred".