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13320121320 = 23325113363667
BaseRepresentation
bin11000110011111000…
…01110101111101000
31021101022011021100200
430121330032233220
5204234422340240
610041424232200
7651041106642
oct143174165750
937338137320
1013320121320
115715952330
1226b8a6b660
1313437c61bc
14905099892
1552e5d7930
hex319f0ebe8

13320121320 has 96 divisors (see below), whose sum is σ = 47225898720. Its totient is φ = 3229119360.

The previous prime is 13320121319. The next prime is 13320121337. The reversal of 13320121320 is 2312102331.

13320121320 is a `hidden beast` number, since 1 + 3 + 320 + 1 + 21 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13320121293 and 13320121302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677874 + ... + 1685793.

It is an arithmetic number, because the mean of its divisors is an integer number (491936445).

Almost surely, 213320121320 is an apocalyptic number.

13320121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320121320 is an abundant number, since it is smaller than the sum of its proper divisors (33905777400).

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

13320121320 is a wasteful number, since it uses less digits than its factorization.

13320121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363695 (or 3363688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13320121320 its reverse (2312102331), we get a palindrome (15632223651).

The spelling of 13320121320 in words is "thirteen billion, three hundred twenty million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3363667 6727334 10091001 13454668 16818335 20182002 26909336 30273003 33636670 37000337 40364004 50455005 60546006 67273340 74000674 80728008 100910010 111001011 121092012 134546680 148001348 151365015 185001685 201820020 222002022 242184024 296002696 302730030 333003033 370003370 403640040 444004044 555005055 605460060 666006066 740006740 888008088 1110010110 1210920120 1332012132 1480013480 1665015165 2220020220 2664024264 3330030330 4440040440 6660060660 13320121320