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13032412003320 = 23352329571596851
BaseRepresentation
bin1011110110100101100001…
…0010011011101111111000
31201010212221012101220011220
42331221120102123233320
53202010334433101240
643415001334152040
72513363214156033
oct275513022335770
951125835356156
1013032412003320
1141750189045a6
1215659284b2620
13736c4997c7c8
14330ab493601a
15179009e085d0
hexbda5849bbf8

13032412003320 has 128 divisors (see below), whose sum is σ = 40810938186240. Its totient is φ = 3323083174400.

The previous prime is 13032412003309. The next prime is 13032412003349. The reversal of 13032412003320 is 2330021423031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7362895 + ... + 8959745.

It is an arithmetic number, because the mean of its divisors is an integer number (318835454580).

Almost surely, 213032412003320 is an apocalyptic number.

13032412003320 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 13032412003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20405469093120).

13032412003320 is an abundant number, since it is smaller than the sum of its proper divisors (27778526182920).

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

13032412003320 is a wasteful number, since it uses less digits than its factorization.

13032412003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599845 (or 1599841 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13032412003320 its reverse (2330021423031), we get a palindrome (15362433426351).

The spelling of 13032412003320 in words is "thirteen trillion, thirty-two billion, four hundred twelve million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 2957 5914 8871 11828 14785 17742 23656 29570 35484 44355 59140 68011 70968 88710 118280 136022 177420 204033 272044 340055 354840 408066 544088 680110 816132 1020165 1360220 1596851 1632264 2040330 2720440 3193702 4080660 4790553 6387404 7984255 8161320 9581106 12774808 15968510 19162212 23952765 31937020 36727573 38324424 47905530 63874040 73455146 95811060 110182719 146910292 183637865 191622120 220365438 293820584 367275730 440730876 550913595 734551460 881461752 1101827190 1469102920 2203654380 4407308760 4721888407 9443776814 14165665221 18887553628 23609442035 28331330442 37775107256 47218884070 56662660884 70828326105 94437768140 108603433361 113325321768 141656652210 188875536280 217206866722 283313304420 325810300083 434413733444 543017166805 566626608840 651620600166 868827466888 1086034333610 1303241200332 1629051500415 2172068667220 2606482400664 3258103000830 4344137334440 6516206001660 13032412003320