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200010020012000 = 25531121210934127
BaseRepresentation
bin101101011110100001110110…
…001100011011111111100000
3222020011202211012001101222222
4231132201312030123333200
5202203431010110341000
61545215200145050212
760062150515105502
oct5536416614337740
9866152735041888
10200010020012000
1158802856056700
121a523347026968
13877ab30165073
1437567726b5d72
15181cabdaa1a85
hexb5e87631bfe0

200010020012000 has 288 divisors, whose sum is σ = 540221382529920. Its totient is φ = 72722779008000.

The previous prime is 200010020011993. The next prime is 200010020012009. The reversal of 200010020012000 is 210020010002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200010020012009) 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, 5860738937 + ... + 5860773063.

It is an arithmetic number, because the mean of its divisors is an integer number (1875768689340).

Almost surely, 2200010020012000 is an apocalyptic number.

200010020012000 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 200010020012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270110691264960).

200010020012000 is an abundant number, since it is smaller than the sum of its proper divisors (340211362517920).

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

200010020012000 is a wasteful number, since it uses less digits than its factorization.

200010020012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46283 (or 46254 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 200010020012000 its reverse (210020010002), we get a palindrome (200220040022002).

The spelling of 200010020012000 in words is "two hundred trillion, ten billion, twenty million, twelve thousand".