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200112122210000 = 24547111322219001
BaseRepresentation
bin101101100000000000111011…
…111101011010011011010000
3222020112112100212100110202212
4231200000323331122123100
5202212114111241210000
61545334123445331252
760102423636344240
oct5540007375323320
9866475325313685
10200112122210000
1158842090091220
121a53b0a0a06b28
138787652351c40
14375b69a9d5b20
151820597639c35
hexb6003bf5a6d0

200112122210000 has 800 divisors, whose sum is σ = 650871206743296. Its totient is φ = 57542400000000.

The previous prime is 200112122209949. The next prime is 200112122210009. The reversal of 200112122210000 is 12221211002.

It is a super-2 number, since 2×2001121222100002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200112122210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22232205500 + ... + 22232214500.

Almost surely, 2200112122210000 is an apocalyptic number.

200112122210000 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 200112122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325435603371648).

200112122210000 is an abundant number, since it is smaller than the sum of its proper divisors (450759084533296).

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

200112122210000 is a wasteful number, since it uses less digits than its factorization.

200112122210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11281 (or 11260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200112122210000 its reverse (12221211002), we get a palindrome (200124343421002).

The spelling of 200112122210000 in words is "two hundred trillion, one hundred twelve billion, one hundred twenty-two million, two hundred ten thousand".