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200100020021200 = 2452134119921372207
BaseRepresentation
bin101101011111110101101010…
…100111001110011111010000
3222020111101010102221120202001
4231133311222213032133100
5202211414320111134300
61545324402525403344
760101515014421045
oct5537655247163720
9866441112846661
10200100020021200
1158837a3a7836a2
121a538883a09554
138786473c8b590
14375ac6d5b71cc
1518200d9e3116a
hexb5fd6a9ce7d0

200100020021200 has 480 divisors, whose sum is σ = 533503753574400. Its totient is φ = 71652800102400.

The previous prime is 200100020021197. The next prime is 200100020021203. The reversal of 200100020021200 is 2120020001002.

200100020021200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200100020021197) and next prime (200100020021203).

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 (200100020021203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90666070497 + ... + 90666072703.

It is an arithmetic number, because the mean of its divisors is an integer number (1111466153280).

Almost surely, 2200100020021200 is an apocalyptic number.

200100020021200 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 200100020021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266751876787200).

200100020021200 is an abundant number, since it is smaller than the sum of its proper divisors (333403733553200).

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

200100020021200 is a wasteful number, since it uses less digits than its factorization.

200100020021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4604 counting only the distinct ones).

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

Adding to 200100020021200 its reverse (2120020001002), we get a palindrome (202220040022202).

The spelling of 200100020021200 in words is "two hundred trillion, one hundred billion, twenty million, twenty-one thousand, two hundred".