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200034300312 = 233271189405407
BaseRepresentation
bin1011101001001011111…
…0010011000110011000
3201010022201211022200100
42322102332103012120
511234132240102222
6231521113135400
720311015332630
oct2722276230630
9633281738610
10200034300312
117791a169570
12329270ba560
1315b2b46b612
14997888d6c0
15530b49c4ac
hex2e92f93198

200034300312 has 192 divisors, whose sum is σ = 683031398400. Its totient is φ = 51373048320.

The previous prime is 200034300307. The next prime is 200034300359. The reversal of 200034300312 is 213003430002.

200034300312 is a `hidden beast` number, since 20 + 0 + 0 + 34 + 300 + 312 = 666.

200034300312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2000343003122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 290713 + ... + 696119.

It is an arithmetic number, because the mean of its divisors is an integer number (3557455200).

Almost surely, 2200034300312 is an apocalyptic number.

200034300312 is a gapful number since it is divisible by the number (22) 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 200034300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341515699200).

200034300312 is an abundant number, since it is smaller than the sum of its proper divisors (482997098088).

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

200034300312 is a wasteful number, since it uses less digits than its factorization.

200034300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405526 (or 405519 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 200034300312 its reverse (213003430002), we get a palindrome (413037730314).

The spelling of 200034300312 in words is "two hundred billion, thirty-four million, three hundred thousand, three hundred twelve".