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12303501320 = 23511232295309
BaseRepresentation
bin10110111010101100…
…01000100000001000
31011202110012121220002
423131112020200020
5200144144020240
65352510422132
7613615015145
oct133526104010
934673177802
1012303501320
115244007710
122474501948
131210cba1c6
1484a0633cc
154c0221d15
hex2dd588808

12303501320 has 128 divisors (see below), whose sum is σ = 31656096000. Its totient is φ = 4259988480.

The previous prime is 12303501311. The next prime is 12303501337. The reversal of 12303501320 is 2310530321.

It is a super-2 number, since 2×123035013202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12303501292 and 12303501301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2314826 + ... + 2320134.

It is an arithmetic number, because the mean of its divisors is an integer number (247313250).

Almost surely, 212303501320 is an apocalyptic number.

12303501320 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 12303501320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15828048000).

12303501320 is an abundant number, since it is smaller than the sum of its proper divisors (19352594680).

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

12303501320 is a wasteful number, since it uses less digits than its factorization.

12303501320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The spelling of 12303501320 in words is "twelve billion, three hundred three million, five hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 229 230 253 440 458 460 506 916 920 1012 1145 1265 1832 2024 2290 2519 2530 4580 5038 5060 5267 5309 9160 10076 10120 10534 10618 12595 20152 21068 21236 25190 26335 26545 42136 42472 50380 52670 53090 57937 58399 100760 105340 106180 115874 116798 122107 210680 212360 231748 233596 244214 289685 291995 463496 467192 488428 579370 583990 610535 976856 1158740 1167980 1215761 1221070 1343177 2317480 2335960 2431522 2442140 2686354 4863044 4884280 5372708 6078805 6715885 9726088 10745416 12157610 13373371 13431770 24315220 26746742 26863540 27962503 48630440 53493484 53727080 55925006 66866855 106986968 111850012 133733710 139812515 223700024 267467420 279625030 307587533 534934840 559250060 615175066 1118500120 1230350132 1537937665 2460700264 3075875330 6151750660 12303501320