Search a number
-
+
13205130000 = 24354440171
BaseRepresentation
bin11000100110001011…
…00100101100010000
31021002021210002220220
430103011210230100
5204021003130000
610022155433040
7645143516166
oct142305445420
937067702826
1013205130000
115666a51687
122686455780
131325a33cba
148d3ac5236
155244711a0
hex313164b10

13205130000 has 100 divisors (see below), whose sum is σ = 42628017168. Its totient is φ = 3521360000.

The previous prime is 13205129891. The next prime is 13205130067. The reversal of 13205130000 is 3150231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 190086 + ... + 250085.

Almost surely, 213205130000 is an apocalyptic number.

13205130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13205130000 is an abundant number, since it is smaller than the sum of its proper divisors (29422887168).

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

13205130000 is an equidigital number, since it uses as much as digits as its factorization.

13205130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440202 (or 440181 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 13205130000 its reverse (3150231), we get a palindrome (13208280231).

The spelling of 13205130000 in words is "thirteen billion, two hundred five million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 440171 880342 1320513 1760684 2200855 2641026 3521368 4401710 5282052 6602565 7042736 8803420 10564104 11004275 13205130 17606840 21128208 22008550 26410260 33012825 35213680 44017100 52820520 55021375 66025650 88034200 105641040 110042750 132051300 165064125 176068400 220085500 264102600 275106875 330128250 440171000 528205200 550213750 660256500 825320625 880342000 1100427500 1320513000 1650641250 2200855000 2641026000 3301282500 4401710000 6602565000 13205130000