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13201031032200 = 23325211666718739
BaseRepresentation
bin1100000000011001101011…
…0000111110110110001000
31201202000011112212002001200
43000012122300332312020
53212241202421012300
644024245301144200
72531512566234234
oct300063260766610
951660145762050
1013201031032200
11422a58695a720
1215925466bb060
13749b0c78b4cb
14338d0d0115c4
1517d5c83bc200
hexc019ac3ed88

13201031032200 has 144 divisors (see below), whose sum is σ = 48363777399600. Its totient is φ = 3200249942400.

The previous prime is 13201031032177. The next prime is 13201031032237. The reversal of 13201031032200 is 223013010231.

13201031032200 is a `hidden beast` number, since 1 + 3 + 20 + 10 + 310 + 322 + 0 + 0 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 333339570 + ... + 333379169.

It is an arithmetic number, because the mean of its divisors is an integer number (335859565275).

Almost surely, 213201031032200 is an apocalyptic number.

13201031032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201031032200 is an abundant number, since it is smaller than the sum of its proper divisors (35162746367400).

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

13201031032200 is a wasteful number, since it uses less digits than its factorization.

13201031032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666718772 (or 666718760 counting only the distinct ones).

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

Adding to 13201031032200 its reverse (223013010231), we get a palindrome (13424044042431).

The spelling of 13201031032200 in words is "thirteen trillion, two hundred one billion, thirty-one million, thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 666718739 1333437478 2000156217 2666874956 3333593695 4000312434 5333749912 6000468651 6667187390 7333906129 8000624868 10000781085 12000937302 13334374780 14667812258 16001249736 16667968475 20001562170 22001718387 24001874604 26668749560 29335624516 30002343255 33335936950 36669530645 40003124340 44003436774 48003749208 50003905425 58671249032 60004686510 66005155161 66671873900 73339061290 80006248680 88006873548 100007810850 110008591935 120009373020 132010310322 133343747800 146678122580 150011716275 176013747096 183347653225 200015621700 220017183870 240018746040 264020620644 293356245160 300023432550 330025775805 366695306450 400031243400 440034367740 528041241288 550042959675 600046865100 660051551610 733390612900 880068735480 1100085919350 1200093730200 1320103103220 1466781225800 1650128879025 2200171838700 2640206206440 3300257758050 4400343677400 6600515516100 13201031032200