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13200231200 = 2552131269253
BaseRepresentation
bin11000100101100101…
…11000101100100000
31021001221120020000212
430102302320230200
5204013224344300
610021502433252
7645054054032
oct142262705440
937057506025
1013200231200
115664206092
122684892828
131324a0a2c0
148d31abc52
15523d04935
hex312cb8b20

13200231200 has 72 divisors (see below), whose sum is σ = 34703942868. Its totient is φ = 4873927680.

The previous prime is 13200231169. The next prime is 13200231221. The reversal of 13200231200 is 213200231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 155850256 + 13044380944 = 12484^2 + 114212^2 .

It is a super-2 number, since 2×132002312002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624227 + ... + 645026.

Almost surely, 213200231200 is an apocalyptic number.

13200231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200231200 is an abundant number, since it is smaller than the sum of its proper divisors (21503711668).

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

13200231200 is a wasteful number, since it uses less digits than its factorization.

13200231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269286 (or 1269273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13200231200 its reverse (213200231), we get a palindrome (13413431431).

The spelling of 13200231200 in words is "thirteen billion, two hundred million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 1269253 2538506 5077012 6346265 10154024 12692530 16500289 20308048 25385060 31731325 33000578 40616096 50770120 63462650 66001156 82501445 101540240 126925300 132002312 165002890 203080480 253850600 264004624 330005780 412507225 507701200 528009248 660011560 825014450 1015402400 1320023120 1650028900 2640046240 3300057800 6600115600 13200231200