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12303012330 = 23257161312107
BaseRepresentation
bin10110111010101000…
…10001000111101010
31011202102021210010100
423131110101013222
5200144032343310
65352452130230
7613610610420
oct133524210752
934672253110
1012303012330
115243803294
122474306976
131210b7876b
14849d77110
154c0176ec0
hex2dd5111ea

12303012330 has 96 divisors (see below), whose sum is σ = 36583208064. Its totient is φ = 2810141568.

The previous prime is 12303012269. The next prime is 12303012331. The reversal of 12303012330 is 3321030321.

12303012330 is a `hidden beast` number, since 1 + 2 + 30 + 301 + 2 + 330 = 666.

12303012330 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 2×123030123302 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12303012331) by changing a digit.

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, 1010137 + ... + 1022243.

It is an arithmetic number, because the mean of its divisors is an integer number (381075084).

Almost surely, 212303012330 is an apocalyptic number.

12303012330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303012330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18291604032).

12303012330 is an abundant number, since it is smaller than the sum of its proper divisors (24280195734).

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

12303012330 is a wasteful number, since it uses less digits than its factorization.

12303012330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13740 (or 13737 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12303012330 its reverse (3321030321), we get a palindrome (15624042651).

The spelling of 12303012330 in words is "twelve billion, three hundred three million, twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1613 3226 4839 8065 9678 11291 12107 14517 16130 22582 24195 24214 29034 33873 36321 48390 56455 60535 67746 72585 72642 84749 101619 108963 112910 121070 145170 169365 169498 181605 203238 217926 254247 338730 363210 423745 508095 508494 544815 762741 847490 1016190 1089630 1271235 1525482 2542470 3813705 7627410 19528591 39057182 58585773 97642955 117171546 136700137 175757319 195285910 273400274 292928865 351514638 410100411 585857730 683500685 820200822 878786595 1230301233 1367001370 1757573190 2050502055 2460602466 4101004110 6151506165 12303012330