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10243003200324 = 22319233168310459
BaseRepresentation
bin1001010100001110001010…
…0100010011001101000100
31100021012222111121212011220
42111003202210103031010
52320310132304402244
633441323135000340
72105014111434216
oct225034244231504
940235874555156
1010243003200324
11329a0402aa0a4
1211951b50690b0
13593bac79205b
14275a9a5b85b6
1512b69d876319
hex950e2913344

10243003200324 has 144 divisors (see below), whose sum is σ = 25340132240640. Its totient is φ = 3219830792640.

The previous prime is 10243003200301. The next prime is 10243003200349. The reversal of 10243003200324 is 42300230034201.

It is a super-3 number, since 3×102430032003243 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10243003200294 and 10243003200303.

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, 979343007 + ... + 979353465.

It is an arithmetic number, because the mean of its divisors is an integer number (175973140560).

Almost surely, 210243003200324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10243003200324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12670066120320).

10243003200324 is an abundant number, since it is smaller than the sum of its proper divisors (15097129040316).

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

10243003200324 is a wasteful number, since it uses less digits than its factorization.

10243003200324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 11497 counting only the distinct ones).

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

Adding to 10243003200324 its reverse (42300230034201), we get a palindrome (52543233234525).

The spelling of 10243003200324 in words is "ten trillion, two hundred forty-three billion, three million, two hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 331 361 662 683 722 993 1083 1324 1366 1444 1986 2049 2166 2732 3972 4098 4332 6289 8196 10459 12578 12977 18867 20918 25156 25954 31377 37734 38931 41836 51908 62754 75468 77862 119491 125508 155724 198721 226073 238982 246563 358473 397442 452146 477964 493126 596163 678219 716946 739689 794884 904292 986252 1192326 1356438 1433892 1479378 2384652 2712876 2958756 3461929 3775699 4295387 6923858 7143497 7551398 8590774 10385787 11327097 12886161 13847716 14286994 15102796 17181548 20771574 21430491 22654194 25772322 28573988 41543148 42860982 45308388 51544644 65776651 81612353 85721964 131553302 135726443 163224706 197329953 244837059 263106604 271452886 326449412 394659906 407179329 489674118 542905772 789319812 814358658 979348236 1249756369 1628717316 2364497507 2499512738 2578802417 3749269107 4728995014 4999025476 5157604834 7093492521 7498538214 7736407251 9457990028 10315209668 14186985042 14997076428 15472814502 28373970084 30945629004 44925452633 89850905266 134776357899 179701810532 269552715798 539105431596 853583600027 1707167200054 2560750800081 3414334400108 5121501600162 10243003200324