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12332024034 = 23112234118013
BaseRepresentation
bin10110111110000101…
…11100000011100010
31011211102212201200220
423133002330003202
5200223444232114
65355410023510
7614412321561
oct133702740342
934742781626
1012332024034
115259119200
122481b77b96
131216b95955
1484db69bd8
154c29a80a9
hex2df0bc0e2

12332024034 has 96 divisors (see below), whose sum is σ = 28980346752. Its totient is φ = 3487123200.

The previous prime is 12332023997. The next prime is 12332024083. The reversal of 12332024034 is 43042023321.

12332024034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12332023995 and 12332024013.

It is an unprimeable number.

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, 675612 + ... + 693624.

It is an arithmetic number, because the mean of its divisors is an integer number (301878612).

Almost surely, 212332024034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332024034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14490173376).

12332024034 is an abundant number, since it is smaller than the sum of its proper divisors (16648322718).

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

12332024034 is a wasteful number, since it uses less digits than its factorization.

12332024034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18104 (or 18093 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12332024034 its reverse (43042023321), we get a palindrome (55374047355).

The spelling of 12332024034 in words is "twelve billion, three hundred thirty-two million, twenty-four thousand, thirty-four".

Divisors: 1 2 3 6 11 22 23 33 41 46 66 69 82 121 123 138 242 246 253 363 451 506 726 759 902 943 1353 1518 1886 2706 2783 2829 4961 5566 5658 8349 9922 10373 14883 16698 18013 20746 29766 31119 36026 54039 62238 108078 114103 198143 228206 342309 396286 414299 594429 684618 738533 828598 1188858 1242897 1477066 2179573 2215599 2485794 4359146 4431198 4557289 6538719 8123863 9114578 13077438 13671867 16247726 16986259 24371589 27343734 33972518 48743178 50130179 50958777 89362493 100260358 101917554 150390537 178724986 186848849 268087479 300781074 373697698 536174958 560546547 1121093094 2055337339 4110674678 6166012017 12332024034