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13201050000 = 2435588007
BaseRepresentation
bin11000100101101100…
…00000100110010000
31021002000002211012210
430102312000212100
5204013432100000
610021532152120
7645064034145
oct142266004620
937060084183
1013201050000
115664715286
122685008640
131324c35bb8
148d33423cc
15523e17350
hex312d80990

13201050000 has 120 divisors (see below), whose sum is σ = 42626146752. Its totient is φ = 3520240000.

The previous prime is 13201049977. The next prime is 13201050019. The reversal of 13201050000 is 5010231.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×132010500002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105997 + ... + 194003.

Almost surely, 213201050000 is an apocalyptic number.

13201050000 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 13201050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21313073376).

13201050000 is an abundant number, since it is smaller than the sum of its proper divisors (29425096752).

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

13201050000 is an frugal number, since it uses more digits than its factorization.

13201050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88043 (or 88017 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

Adding to 13201050000 its reverse (5010231), we get a palindrome (13206060231).

The spelling of 13201050000 in words is "thirteen billion, two hundred one million, fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 15000 18750 25000 30000 37500 50000 75000 88007 150000 176014 264021 352028 440035 528042 704056 880070 1056084 1320105 1408112 1760140 2112168 2200175 2640210 3520280 4224336 4400350 5280420 6600525 7040560 8800700 10560840 11000875 13201050 17601400 21121680 22001750 26402100 33002625 35202800 44003500 52804200 55004375 66005250 88007000 105608400 110008750 132010500 165013125 176014000 220017500 264021000 275021875 330026250 440035000 528042000 550043750 660052500 825065625 880070000 1100087500 1320105000 1650131250 2200175000 2640210000 3300262500 4400350000 6600525000 13201050000