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200133000000 = 26325637601
BaseRepresentation
bin1011101001100011011…
…0110011101101000000
3201010120121112210012100
42322120312303231000
511234333022000000
6231535000430400
720313324301053
oct2723066635500
9633517483170
10200133000000
117796a95205a
1232954178400
1315b45a482bb
149987a22a9a
155314e96a00
hex2e98db3b40

200133000000 has 588 divisors, whose sum is σ = 737652198556. Its totient is φ = 51840000000.

The previous prime is 200132999981. The next prime is 200133000007. The reversal of 200133000000 is 331002.

It is a happy number.

200133000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 200109496896 + 23503104 = 447336^2 + 4848^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200133000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 332999700 + ... + 333000300.

Almost surely, 2200133000000 is an apocalyptic number.

200133000000 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 200133000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368826099278).

200133000000 is an abundant number, since it is smaller than the sum of its proper divisors (537519198556).

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

200133000000 is an frugal number, since it uses more digits than its factorization.

200133000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 200133000000 its reverse (331002), we get a palindrome (200133331002).

The spelling of 200133000000 in words is "two hundred billion, one hundred thirty-three million", and thus it is an aban number.