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13424350200 = 23352231735623
BaseRepresentation
bin11001000000010011…
…10101001111111000
31021122120021122111120
430200021311033320
5204443113201300
610100030225240
7653445044142
oct144011651770
937576248446
1013424350200
115769771aa8
122727955220
13135c28a7b1
14914c6bc92
155388253a0
hex3202753f8

13424350200 has 192 divisors, whose sum is σ = 43683632640. Its totient is φ = 3403783680.

The previous prime is 13424350189. The next prime is 13424350301. The reversal of 13424350200 is 205342431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2384589 + ... + 2390211.

It is an arithmetic number, because the mean of its divisors is an integer number (227518920).

Almost surely, 213424350200 is an apocalyptic number.

13424350200 is a gapful number since it is divisible by the number (10) 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 13424350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21841816320).

13424350200 is an abundant number, since it is smaller than the sum of its proper divisors (30259282440).

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

13424350200 is a wasteful number, since it uses less digits than its factorization.

13424350200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 13424350200 its reverse (205342431), we get a palindrome (13629692631).

The spelling of 13424350200 in words is "thirteen billion, four hundred twenty-four million, three hundred fifty thousand, two hundred".