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200000212012200 = 2335261197154317977
BaseRepresentation
bin101101011110011000101101…
…100101111000110010101000
3222020010211111122120101122010
4231132120231211320302220
5202203300413233342300
61545210455021355520
760061352461352055
oct5536305545706250
9866124448511563
10200000212012200
11587a9682760246
121a52146a408ba0
138779c291908a2
1437560c1c5202c
15181c6e79bca50
hexb5e62d978ca8

200000212012200 has 384 divisors, whose sum is σ = 633809137547520. Its totient is φ = 52156055347200.

The previous prime is 200000212012193. The next prime is 200000212012259. The reversal of 200000212012200 is 2210212000002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11125329612 + ... + 11125347588.

It is an arithmetic number, because the mean of its divisors is an integer number (1650544629030).

Almost surely, 2200000212012200 is an apocalyptic number.

200000212012200 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 200000212012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316904568773760).

200000212012200 is an abundant number, since it is smaller than the sum of its proper divisors (433808925535320).

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

200000212012200 is a wasteful number, since it uses less digits than its factorization.

200000212012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19797 (or 19788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200000212012200 its reverse (2210212000002), we get a palindrome (202210424012202).

The spelling of 200000212012200 in words is "two hundred trillion, two hundred twelve million, twelve thousand, two hundred".