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12303331260 = 223511183110181
BaseRepresentation
bin10110111010101010…
…11110111110111100
31011202102212222121120
423131111132332330
5200144123100020
65352503030540
7613613406303
oct133525367674
934672788546
1012303331260
115243a00970
12247443b450
131210c5a98c
1484a01b43a
154c01db740
hex2dd55efbc

12303331260 has 96 divisors (see below), whose sum is σ = 37605302784. Its totient is φ = 2980704000.

The previous prime is 12303331223. The next prime is 12303331267. The reversal of 12303331260 is 6213330321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12303331260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303331267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203370 + ... + 1213550.

It is an arithmetic number, because the mean of its divisors is an integer number (391721904).

Almost surely, 212303331260 is an apocalyptic number.

12303331260 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 12303331260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802651392).

12303331260 is an abundant number, since it is smaller than the sum of its proper divisors (25301971524).

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

12303331260 is a wasteful number, since it uses less digits than its factorization.

12303331260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12035 (or 12033 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12303331260 its reverse (6213330321), we get a palindrome (18516661581).

The spelling of 12303331260 in words is "twelve billion, three hundred three million, three hundred thirty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1831 3662 5493 7324 9155 10181 10986 18310 20141 20362 21972 27465 30543 36620 40282 40724 50905 54930 60423 61086 80564 100705 101810 109860 111991 120846 122172 152715 201410 203620 223982 241692 302115 305430 335973 402820 447964 559955 604230 610860 671946 1119910 1208460 1343892 1679865 2239820 3359730 6719460 18641411 37282822 55924233 74565644 93207055 111848466 186414110 205055521 223696932 279621165 372828220 410111042 559242330 615166563 820222084 1025277605 1118484660 1230333126 2050555210 2460666252 3075832815 4101110420 6151665630 12303331260