Search a number
-
+
13231224053520 = 2435112455620663
BaseRepresentation
bin1100000010001010001001…
…1010001101111100010000
31201211220002202100110220120
43000202202122031330100
53213240021324203040
644050201310310240
72533632031543404
oct300424232157420
951756082313816
1013231224053520
11424137004a500
1215983721b8380
1374c911b362b5
1433a574d43104
1517e293e227d0
hexc08a268df10

13231224053520 has 120 divisors (see below), whose sum is σ = 45084575944128. Its totient is φ = 3207569460480.

The previous prime is 13231224053519. The next prime is 13231224053521. The reversal of 13231224053520 is 2535042213231.

It is an interprime number because it is at equal distance from previous prime (13231224053519) and next prime (13231224053521).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13231224053521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 227781292 + ... + 227839371.

Almost surely, 213231224053520 is an apocalyptic number.

13231224053520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13231224053520 is an abundant number, since it is smaller than the sum of its proper divisors (31853351890608).

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

13231224053520 is a wasteful number, since it uses less digits than its factorization.

13231224053520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455620701 (or 455620684 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 13231224053520 its reverse (2535042213231), we get a palindrome (15766266266751).

The spelling of 13231224053520 in words is "thirteen trillion, two hundred thirty-one billion, two hundred twenty-four million, fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 455620663 911241326 1366861989 1822482652 2278103315 2733723978 3644965304 4556206630 5011827293 5467447956 6834309945 7289930608 9112413260 10023654586 10934895912 13668619890 15035481879 18224826520 20047309172 21869791824 25059136465 27337239780 30070963758 36449653040 40094618344 50118272930 54674479560 55130100223 60141927516 75177409395 80189236688 100236545860 109348959120 110260200446 120283855032 150354818790 165390300669 200473091720 220520400892 240567710064 275650501115 300709637580 330780601338 400946183440 441040801784 551301002230 601419275160 661561202676 826951503345 882081603568 1102602004460 1202838550320 1323122405352 1653903006690 2205204008920 2646244810704 3307806013380 4410408017840 6615612026760 13231224053520