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13230120000 = 26354110251
BaseRepresentation
bin11000101001001001…
…11001110001000000
31021011000210201202110
430110210321301000
5204043402320000
610024451215320
7645566110266
oct142444716100
937130721673
1013230120000
11567a06aa79
1226928a7540
13132ac73796
148d714c436
1552675a850
hex314939c40

13230120000 has 140 divisors (see below), whose sum is σ = 43742260496. Its totient is φ = 3528000000.

The previous prime is 13230119951. The next prime is 13230120011. The reversal of 13230120000 is 2103231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 64875 + ... + 175125.

Almost surely, 213230120000 is an apocalyptic number.

13230120000 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 13230120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21871130248).

13230120000 is an abundant number, since it is smaller than the sum of its proper divisors (30512140496).

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

13230120000 is an equidigital number, since it uses as much as digits as its factorization.

13230120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110286 (or 110261 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13230120000 its reverse (2103231), we get a palindrome (13232223231).

The spelling of 13230120000 in words is "thirteen billion, two hundred thirty million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 110251 120000 220502 330753 441004 551255 661506 882008 1102510 1323012 1653765 1764016 2205020 2646024 2756275 3307530 3528032 4410040 5292048 5512550 6615060 7056064 8268825 8820080 10584096 11025100 13230120 13781375 16537650 17640160 21168192 22050200 26460240 27562750 33075300 35280320 41344125 44100400 52920480 55125500 66150600 68906875 82688250 88200800 105840960 110251000 132301200 137813750 165376500 176401600 206720625 220502000 264602400 275627500 330753000 413441250 441004000 529204800 551255000 661506000 826882500 882008000 1102510000 1323012000 1653765000 2205020000 2646024000 3307530000 4410040000 6615060000 13230120000