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200203212000 = 25353112173797
BaseRepresentation
bin1011101001110100001…
…0101001010011100000
3201010202111122220221210
42322131002221103200
511240004010241000
6231545545350120
720315136136551
oct2723502512340
9633674586853
10200203212000
11779a6548400
1232973798340
1315b5745c46c
14999309c328
15531b215350
hex2e9d0a94e0

200203212000 has 576 divisors, whose sum is σ = 725987126592. Its totient is φ = 48193024000.

The previous prime is 200203211933. The next prime is 200203212019. The reversal of 200203212000 is 212302002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251195602 + ... + 251196398.

It is an arithmetic number, because the mean of its divisors is an integer number (1260394317).

Almost surely, 2200203212000 is an apocalyptic number.

200203212000 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 200203212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362993563296).

200203212000 is an abundant number, since it is smaller than the sum of its proper divisors (525783914592).

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

200203212000 is a wasteful number, since it uses less digits than its factorization.

200203212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 200203212000 its reverse (212302002), we get a palindrome (200415514002).

The spelling of 200203212000 in words is "two hundred billion, two hundred three million, two hundred twelve thousand".