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13203301320 = 2334511370463
BaseRepresentation
bin11000100101111101…
…00110001111001000
31021002011100012110000
430102332212033020
5204020021120240
610022052323000
7645122131566
oct142276461710
937064305400
1013203301320
115665a12780
122685913460
131325543841
148d376aa36
1552420e430
hex312fa63c8

13203301320 has 160 divisors (see below), whose sum is σ = 48412235520. Its totient is φ = 3200791680.

The previous prime is 13203301291. The next prime is 13203301327. The reversal of 13203301320 is 2310330231.

13203301320 is a `hidden beast` number, since 1 + 320 + 330 + 13 + 2 + 0 = 666.

13203301320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×132033013203 (a number of 31 digits) contains 333 as substring.

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 = 13203301293 and 13203301302.

It is not an unprimeable number, because it can be changed into a prime (13203301327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 149592 + ... + 220871.

It is an arithmetic number, because the mean of its divisors is an integer number (302576472).

Almost surely, 213203301320 is an apocalyptic number.

13203301320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13203301320 is an abundant number, since it is smaller than the sum of its proper divisors (35208934200).

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

13203301320 is a wasteful number, since it uses less digits than its factorization.

13203301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370497 (or 370484 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13203301320 its reverse (2310330231), we get a palindrome (15513631551).

The spelling of 13203301320 in words is "thirteen billion, two hundred three million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 370463 740926 1111389 1481852 1852315 2222778 2963704 3334167 3704630 4075093 4445556 5556945 6668334 7409260 8150186 8891112 10002501 11113890 12225279 13336668 14818520 16300372 16670835 20005002 20375465 22227780 24450558 26673336 30007503 32600744 33341670 36675837 40010004 40750930 44455560 48901116 50012505 60015006 61126395 66683340 73351674 80020008 81501860 97802232 100025010 110027511 120030012 122252790 133366680 146703348 150037515 163003720 183379185 200050020 220055022 240060024 244505580 293406696 300075030 330082533 366758370 400100040 440110044 489011160 550137555 600150060 660165066 733516740 880220088 1100275110 1200300120 1320330132 1467033480 1650412665 2200550220 2640660264 3300825330 4401100440 6601650660 13203301320