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203212002001200 = 243527915431389233
BaseRepresentation
bin101110001101000111111011…
…001100011000000100110000
3222122111212200211001211222220
4232031013323030120010300
5203113411140003014300
62000110145511401040
760542403563666013
oct5615077314300460
9878455624054886
10203212002001200
11598277a9449385
121a95ba20383180
138950a6a7c35ba
1438277289bb37a
151876025770da0
hexb8d1fb318130

203212002001200 has 240 divisors, whose sum is σ = 659623418065920. Its totient is φ = 53469205770240.

The previous prime is 203212002001193. The next prime is 203212002001207. The reversal of 203212002001200 is 2100200212302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (203212002001193) and next prime (203212002001207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203212002001200.

It is not an unprimeable number, because it can be changed into a prime (203212002001207) 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, 145581784 + ... + 146971016.

It is an arithmetic number, because the mean of its divisors is an integer number (2748430908608).

Almost surely, 2203212002001200 is an apocalyptic number.

203212002001200 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 203212002001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329811709032960).

203212002001200 is an abundant number, since it is smaller than the sum of its proper divisors (456411416064720).

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

203212002001200 is a wasteful number, since it uses less digits than its factorization.

203212002001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390876 (or 1390865 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 203212002001200 its reverse (2100200212302), we get a palindrome (205312202213502).

The spelling of 203212002001200 in words is "two hundred three trillion, two hundred twelve billion, two million, one thousand, two hundred".