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200200202210000 = 245420020020221
BaseRepresentation
bin101101100001010010111101…
…111011111100101011010000
3222020211221201022102002001002
4231201102331323330223100
5202220040003231210000
61545442411521401132
760111662433112166
oct5541227573745320
9866757638362032
10200200202210000
1158876479a36953
121a5541827991a8
138792a4b45a235
143761a54901236
151822a001578d5
hexb614bdefcad0

200200202210000 has 50 divisors (see below), whose sum is σ = 484704709594842. Its totient is φ = 80080080880000.

The previous prime is 200200202209981. The next prime is 200200202210017. The reversal of 200200202210000 is 12202002002.

It can be written as a sum of positive squares in 5 ways, for example, as 24298550574736 + 175901651635264 = 4929356^2 + 13262792^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10010000111 + ... + 10010020110.

Almost surely, 2200200202210000 is an apocalyptic number.

200200202210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200202210000 is an abundant number, since it is smaller than the sum of its proper divisors (284504507384842).

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

200200202210000 is an equidigital number, since it uses as much as digits as its factorization.

200200202210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20020020249 (or 20020020228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 200200202210000 its reverse (12202002002), we get a palindrome (200212404212002).

The spelling of 200200202210000 in words is "two hundred trillion, two hundred billion, two hundred two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 20020020221 40040040442 80080080884 100100101105 160160161768 200200202210 320320323536 400400404420 500500505525 800800808840 1001001011050 1601601617680 2002002022100 2502502527625 4004004044200 5005005055250 8008008088400 10010010110500 12512512638125 20020020221000 25025025276250 40040040442000 50050050552500 100100101105000 200200202210000