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12103330032 = 2432294616287
BaseRepresentation
bin10110100010110101…
…00010100011110000
31011020111112212111200
423101122202203300
5144241423030112
65321000211200
7605634415323
oct132132424360
934214485450
1012103330032
115151017aa2
122419469b00
1311ab6a2c61
1482b6387ba
154ac881cdc
hex2d16a28f0

12103330032 has 120 divisors (see below), whose sum is σ = 35122127040. Its totient is φ = 3886256640.

The previous prime is 12103330021. The next prime is 12103330091. The reversal of 12103330032 is 23003330121.

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 = 12103329987 and 12103330014.

It is a congruent number.

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, 1921993 + ... + 1928279.

It is an arithmetic number, because the mean of its divisors is an integer number (292684392).

Almost surely, 212103330032 is an apocalyptic number.

12103330032 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 12103330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17561063520).

12103330032 is an abundant number, since it is smaller than the sum of its proper divisors (23018797008).

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

12103330032 is a wasteful number, since it uses less digits than its factorization.

12103330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791 (or 6782 counting only the distinct ones).

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

Adding to 12103330032 its reverse (23003330121), we get a palindrome (35106660153).

The spelling of 12103330032 in words is "twelve billion, one hundred three million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 461 464 522 696 922 1044 1383 1392 1844 2088 2766 3688 4149 4176 5532 6287 7376 8298 11064 12574 13369 16596 18861 22128 25148 26738 33192 37722 40107 50296 53476 56583 66384 75444 80214 100592 106952 113166 120321 150888 160428 182323 213904 226332 240642 301776 320856 364646 452664 481284 546969 641712 729292 905328 962568 1093938 1458584 1640907 1925136 2187876 2898307 2917168 3281814 4375752 5796614 6563628 8694921 8751504 11593228 13127256 17389842 23186456 26084763 26254512 34779684 46372912 52169526 69559368 84050903 104339052 139118736 168101806 208678104 252152709 336203612 417356208 504305418 672407224 756458127 1008610836 1344814448 1512916254 2017221672 3025832508 4034443344 6051665016 12103330032