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201001323301200 = 24335220878917697
BaseRepresentation
bin101101101100111101000100…
…011110011000100101010000
3222100200112112211002011001000
4231230331010132120211100
5202321201202231114300
61551254422210542000
760223603112042532
oct5554750436304520
9870615484064030
10201001323301200
1159055200a00aa4
121a6634a0597900
138820460760586
14378c731ad5852
15183878ba99c00
hexb6cf44798950

201001323301200 has 240 divisors, whose sum is σ = 715758697618560. Its totient is φ = 53574663905280.

The previous prime is 201001323301111. The next prime is 201001323301307. The reversal of 201001323301200 is 2103323100102.

201001323301200 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 132 + 330 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18080752 + ... + 26998448.

It is an arithmetic number, because the mean of its divisors is an integer number (2982327906744).

Almost surely, 2201001323301200 is an apocalyptic number.

201001323301200 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 201001323301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357879348809280).

201001323301200 is an abundant number, since it is smaller than the sum of its proper divisors (514757374317360).

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

201001323301200 is a wasteful number, since it uses less digits than its factorization.

201001323301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8919811 (or 8919794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201001323301200 its reverse (2103323100102), we get a palindrome (203104646401302).

The spelling of 201001323301200 in words is "two hundred one trillion, one billion, three hundred twenty-three million, three hundred one thousand, two hundred".