Search a number
-
+
12421604331513 = 32131928320839479
BaseRepresentation
bin1011010011000010000101…
…0100000100111111111001
31121222111022222000020010200
42310300201110010333321
53112003421202102023
642230223430032413
72421300635500536
oct264604124047771
947874288006120
1012421604331513
113a59a778a6233
1214874821a8709
136c1476bc7030
1430d2cd167d8d
151681ab33c743
hexb4c21504ff9

12421604331513 has 96 divisors (see below), whose sum is σ = 20423293363200. Its totient is φ = 7211930608512.

The previous prime is 12421604331497. The next prime is 12421604331517. The reversal of 12421604331513 is 31513340612421.

12421604331513 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 1 + 604 + 3 + 31 + 5 + 13 = 666.

It is not a de Polignac number, because 12421604331513 - 24 = 12421604331497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12421604331517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1310429308 + ... + 1310438786.

It is an arithmetic number, because the mean of its divisors is an integer number (212742639200).

Almost surely, 212421604331513 is an apocalyptic number.

12421604331513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12421604331513 is a deficient number, since it is larger than the sum of its proper divisors (8001689031687).

12421604331513 is a wasteful number, since it uses less digits than its factorization.

12421604331513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11883 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 12421604331513 its reverse (31513340612421), we get a palindrome (43934944943934).

The spelling of 12421604331513 in words is "twelve trillion, four hundred twenty-one billion, six hundred four million, three hundred thirty-one thousand, five hundred thirteen".

Divisors: 1 3 9 13 19 39 57 117 171 247 283 741 849 2083 2223 2547 3679 5377 6249 9479 11037 16131 18747 27079 28437 33111 39577 48393 69901 81237 85311 118731 123227 180101 209703 243711 356193 369681 514501 540303 589489 629109 1109043 1543503 1620909 1768467 2341313 2682557 4630509 5305401 7023939 7663357 8047671 11200291 19744757 21071817 22990071 24143013 33600873 34873241 50968583 59234271 68970213 100802619 104619723 145603783 152905749 177702813 256681841 313859169 375150383 436811349 458717247 662591579 770045523 1125451149 1310434047 1987774737 2310136569 3376353447 4876954979 5587766231 5963324211 14630864937 16763298693 43892594811 50289896079 72640961003 106167558389 217922883009 318502675167 653768649027 955508025501 1380178259057 4140534777171 12421604331513