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12300241032 = 23324710933347
BaseRepresentation
bin10110111010010011…
…01100100010001000
31011202020001222121200
423131021230202020
5200142330203112
65352312504200
7613545216012
oct133511544210
934666058550
1012300241032
115242190162
1224733ab060
131210418241
148498551b2
154beccacdc
hex2dd26c888

12300241032 has 96 divisors (see below), whose sum is σ = 34335100800. Its totient is φ = 3975910272.

The previous prime is 12300241003. The next prime is 12300241049. The reversal of 12300241032 is 23014200321.

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

It is a junction number, because it is equal to n+sod(n) for n = 12300240996 and 12300241014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352183 + ... + 385529.

It is an arithmetic number, because the mean of its divisors is an integer number (357657300).

Almost surely, 212300241032 is an apocalyptic number.

12300241032 is a gapful number since it is divisible by the number (12) 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 12300241032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167550400).

12300241032 is an abundant number, since it is smaller than the sum of its proper divisors (22034859768).

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

12300241032 is a wasteful number, since it uses less digits than its factorization.

12300241032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33515 (or 33508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12300241032 its reverse (23014200321), we get a palindrome (35314441353).

The spelling of 12300241032 in words is "twelve billion, three hundred million, two hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 109 141 188 218 282 327 376 423 436 564 654 846 872 981 1128 1308 1692 1962 2616 3384 3924 5123 7848 10246 15369 20492 30738 33347 40984 46107 61476 66694 92214 100041 122952 133388 184428 200082 266776 300123 368856 400164 600246 800328 1200492 1567309 2400984 3134618 3634823 4701927 6269236 7269646 9403854 10904469 12538472 14105781 14539292 18807708 21808938 28211562 29078584 32713407 37615416 43617876 56423124 65426814 87235752 112846248 130853628 170836681 261707256 341673362 512510043 683346724 1025020086 1366693448 1537530129 2050040172 3075060258 4100080344 6150120516 12300241032