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13321320200032 = 2513232415777089
BaseRepresentation
bin1100000111011001110010…
…0011101111011101100000
31202011111122201010221020211
43001312130203233131200
53221224030432400112
644155421403343504
72543301506262445
oct301663443573540
952144581127224
1013321320200032
1142765a3a6a919
1215b1917221b94
1375826c8500b0
14340a8090b9cc
151817b89420a7
hexc1d9c8ef760

13321320200032 has 96 divisors (see below), whose sum is σ = 29594044751040. Its totient is φ = 5856580730880.

The previous prime is 13321320199949. The next prime is 13321320200039. The reversal of 13321320200032 is 23000202312331.

It is a junction number, because it is equal to n+sod(n) for n = 13321320199976 and 13321320200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321320200039) 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 15 ways as a sum of consecutive naturals, for example, 582657 + ... + 5194432.

It is an arithmetic number, because the mean of its divisors is an integer number (308271299490).

Almost surely, 213321320200032 is an apocalyptic number.

It is an amenable number.

13321320200032 is an abundant number, since it is smaller than the sum of its proper divisors (16272724551008).

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

13321320200032 is a wasteful number, since it uses less digits than its factorization.

13321320200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777376 (or 5777368 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13321320200032 its reverse (23000202312331), we get a palindrome (36321522512363).

The spelling of 13321320200032 in words is "thirteen trillion, three hundred twenty-one billion, three hundred twenty million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 241 299 368 416 482 598 736 964 1196 1928 2392 3133 3856 4784 5543 6266 7712 9568 11086 12532 22172 25064 44344 50128 72059 88688 100256 144118 177376 288236 576472 1152944 2305888 5777089 11554178 23108356 46216712 75102157 92433424 132873047 150204314 184866848 265746094 300408628 531492188 600817256 1062984376 1201634512 1392278449 1727349611 2125968752 2403269024 2784556898 3454699222 4251937504 5569113796 6909398444 11138227592 13818796888 18099619837 22276455184 27637593776 32022404327 36199239674 44552910368 55275187552 64044808654 72398479348 128089617308 144796958696 256179234616 289593917392 416291256251 512358469232 579187834784 832582512502 1024716938464 1665165025004 3330330050008 6660660100016 13321320200032