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200033212000 = 2553333115013
BaseRepresentation
bin1011101001001011101…
…0001001011001100000
3201010022122210000210111
42322102322021121200
511234132000241000
6231521033541104
720311003150666
oct2722272113140
9633278700714
10200033212000
1177919595936
1232926874794
1315b2b17a14b
149978688c36
15530b334cba
hex2e92e89660

200033212000 has 96 divisors (see below), whose sum is σ = 491661896544. Its totient is φ = 79983936000.

The previous prime is 200033211913. The next prime is 200033212003. The reversal of 200033212000 is 212330002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200033212003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13316494 + ... + 13331506.

It is an arithmetic number, because the mean of its divisors is an integer number (5121478089).

Almost surely, 2200033212000 is an apocalyptic number.

200033212000 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 200033212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245830948272).

200033212000 is an abundant number, since it is smaller than the sum of its proper divisors (291628684544).

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

200033212000 is a wasteful number, since it uses less digits than its factorization.

200033212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18369 (or 18351 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 200033212000 its reverse (212330002), we get a palindrome (200245542002).

The spelling of 200033212000 in words is "two hundred billion, thirty-three million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3331 4000 6662 13324 15013 16655 26648 30026 33310 53296 60052 66620 75065 83275 106592 120104 133240 150130 166550 240208 266480 300260 333100 375325 416375 480416 532960 600520 666200 750650 832750 1201040 1332400 1501300 1665500 1876625 2402080 2664800 3002600 3331000 3753250 6005200 6662000 7506500 12010400 13324000 15013000 30026000 50008303 60052000 100016606 200033212 250041515 400066424 500083030 800132848 1000166060 1250207575 1600265696 2000332120 2500415150 4000664240 5000830300 6251037875 8001328480 10001660600 12502075750 20003321200 25004151500 40006642400 50008303000 100016606000 200033212000