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243243434112300 = 2232523759331374039
BaseRepresentation
bin110111010011101010000110…
…011110111111010100101100
31011220020211211011001112210100
4313103222012132333110230
5223340300023113043200
62221200254015111100
7102143521024424436
oct6723520636772454
91156224734045710
10243243434112300
1170560a63238776
1223346259b12490
13a5959b006576b
14440d08b7b1656
151d1c4beba0d00
hexdd3a867bf52c

243243434112300 has 432 divisors, whose sum is σ = 798719091206400. Its totient is φ = 61854514444800.

The previous prime is 243243434112299. The next prime is 243243434112317. The reversal of 243243434112300 is 3211434342342.

243243434112300 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 4 + 3 + 4 + 3 + 411 + 230 + 0 = 666.

It is a super-3 number, since 3×2432434341123003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 650128681 + ... + 650502719.

It is an arithmetic number, because the mean of its divisors is an integer number (1848886785200).

Almost surely, 2243243434112300 is an apocalyptic number.

243243434112300 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 243243434112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399359545603200).

243243434112300 is an abundant number, since it is smaller than the sum of its proper divisors (555475657094100).

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

243243434112300 is a wasteful number, since it uses less digits than its factorization.

243243434112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374486 (or 374476 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 243243434112300 its reverse (3211434342342), we get a palindrome (246454868454642).

The spelling of 243243434112300 in words is "two hundred forty-three trillion, two hundred forty-three billion, four hundred thirty-four million, one hundred twelve thousand, three hundred".