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13321331200 = 29524324203
BaseRepresentation
bin11000110100000001…
…10110001000000000
31021101101102202000001
430122000312020000
5204240230044300
610041510205344
7651054306202
oct143200661000
937341382001
1013321331200
1157165a9331
1226b9353854
131343b2aac8
149052d2772
1552e77616a
hex31a036200

13321331200 has 120 divisors (see below), whose sum is σ = 33773583888. Its totient is φ = 5204398080.

The previous prime is 13321331173. The next prime is 13321331201. The reversal of 13321331200 is 213312331.

It is not an unprimeable number, because it can be changed into a prime (13321331201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538299 + ... + 562501.

Almost surely, 213321331200 is an apocalyptic number.

13321331200 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 13321331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16886791944).

13321331200 is an abundant number, since it is smaller than the sum of its proper divisors (20452252688).

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

13321331200 is an equidigital number, since it uses as much as digits as its factorization.

13321331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24274 (or 24253 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13321331200 its reverse (213312331), we get a palindrome (13534643531).

The spelling of 13321331200 in words is "thirteen billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 128 160 172 200 215 256 320 344 400 430 512 640 688 800 860 1075 1280 1376 1600 1720 2150 2560 2752 3200 3440 4300 5504 6400 6880 8600 11008 12800 13760 17200 22016 24203 27520 34400 48406 55040 68800 96812 110080 121015 137600 193624 242030 275200 387248 484060 550400 605075 774496 968120 1040729 1210150 1548992 1936240 2081458 2420300 3097984 3872480 4162916 4840600 5203645 6195968 7744960 8325832 9681200 10407290 12391936 15489920 16651664 19362400 20814580 26018225 30979840 33303328 38724800 41629160 52036450 61959680 66606656 77449600 83258320 104072900 133213312 154899200 166516640 208145800 266426624 309798400 333033280 416291600 532853248 666066560 832583200 1332133120 1665166400 2664266240 3330332800 6660665600 13321331200