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13200113300 = 225211611271549
BaseRepresentation
bin11000100101100100…
…11011111010010100
31021001221100020022012
430102302123322110
5204013212111200
610021500123352
7645053053223
oct142262337224
937057306265
1013200113300
115664135550
122684836558
13132499873a
148d317acba
15523ccea35
hex312c9be94

13200113300 has 144 divisors (see below), whose sum is σ = 32031283200. Its totient is φ = 4681152000.

The previous prime is 13200113281. The next prime is 13200113321. The reversal of 13200113300 is 331100231.

13200113300 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-2 number, since 2×132001133002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8520926 + ... + 8522474.

Almost surely, 213200113300 is an apocalyptic number.

13200113300 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 13200113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015641600).

13200113300 is an abundant number, since it is smaller than the sum of its proper divisors (18831169900).

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

13200113300 is a wasteful number, since it uses less digits than its factorization.

13200113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13200113300 its reverse (331100231), we get a palindrome (13531213531).

The spelling of 13200113300 in words is "thirteen billion, two hundred million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 127 220 244 254 275 305 508 550 610 635 671 1100 1220 1270 1342 1397 1525 1549 2540 2684 2794 3050 3098 3175 3355 5588 6100 6196 6350 6710 6985 7745 7747 12700 13420 13970 15490 15494 16775 17039 27940 30980 30988 33550 34078 34925 38725 38735 67100 68156 69850 77450 77470 85195 85217 94489 139700 154900 154940 170390 170434 188978 193675 196723 340780 340868 377956 387350 393446 425975 426085 472445 774700 786892 851950 852170 944890 983615 1039379 1703900 1704340 1889780 1967230 2078758 2130425 2163953 2362225 3934460 4157516 4260850 4327906 4724450 4918075 5196895 8521700 8655812 9448900 9836150 10393790 10819765 12000103 19672300 20787580 21639530 24000206 25984475 43279060 48000412 51968950 54098825 60000515 103937900 108197650 120001030 132001133 216395300 240002060 264002266 300002575 528004532 600005150 660005665 1200010300 1320011330 2640022660 3300028325 6600056650 13200113300