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212301144310200 = 233521199277324011
BaseRepresentation
bin110000010001011000110110…
…010010101100000110111000
31000211200210100202212011121020
4300101120312102230012320
5210311320220420411300
62031305444351142440
762501152160615061
oct6021306622540670
91024623322764536
10212301144310200
1161711456313660
121b989473814a20
13915cbb18a369a
143a5d6046d9568
15198268ed588a0
hexc116364ac1b8

212301144310200 has 192 divisors, whose sum is σ = 717973317659520. Its totient is φ = 51466266816000.

The previous prime is 212301144310183. The next prime is 212301144310207. The reversal of 212301144310200 is 2013441103212.

It is a super-3 number, since 3×2123011443102003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212301144310207) 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, 655066195 + ... + 655390205.

It is an arithmetic number, because the mean of its divisors is an integer number (3739444362810).

Almost surely, 2212301144310200 is an apocalyptic number.

212301144310200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212301144310200 is an abundant number, since it is smaller than the sum of its proper divisors (505672173349320).

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

212301144310200 is a wasteful number, since it uses less digits than its factorization.

212301144310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423318 (or 423309 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212301144310200 its reverse (2013441103212), we get a palindrome (214314585413412).

The spelling of 212301144310200 in words is "two hundred twelve trillion, three hundred one billion, one hundred forty-four million, three hundred ten thousand, two hundred".