Search a number
-
+
13320244132305 = 35116752314231619
BaseRepresentation
bin1100000111010101110001…
…1010110111100111010001
31202011101212201100000211120
43001311130122313213101
53221214324444213210
644155122523432453
72543233031663655
oct301653432674721
952141781300746
1013320244132305
1142760a1611250
1215b1676985729
1375812a92b626
143409bba3ca65
15181754237270
hexc1d5c6b79d1

13320244132305 has 128 divisors (see below), whose sum is σ = 23673239470080. Its totient is φ = 6341361903360.

The previous prime is 13320244132291. The next prime is 13320244132337. The reversal of 13320244132305 is 50323144202331.

It is not a de Polignac number, because 13320244132305 - 24 = 13320244132289 is a prime.

It is a super-2 number, since 2×133202441323052 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8227450786 + ... + 8227452404.

It is an arithmetic number, because the mean of its divisors is an integer number (184947183360).

Almost surely, 213320244132305 is an apocalyptic number.

13320244132305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13320244132305 is a deficient number, since it is larger than the sum of its proper divisors (10352995337775).

13320244132305 is a wasteful number, since it uses less digits than its factorization.

13320244132305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651.

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 13320244132305 its reverse (50323144202331), we get a palindrome (63643388334636).

The spelling of 13320244132305 in words is "thirteen trillion, three hundred twenty billion, two hundred forty-four million, one hundred thirty-two thousand, three hundred five".

Divisors: 1 3 5 11 15 33 55 67 165 201 335 523 737 1005 1423 1569 1619 2211 2615 3685 4269 4857 5753 7115 7845 8095 11055 15653 17259 17809 21345 24285 28765 35041 46959 53427 78265 86295 89045 95341 105123 108473 175205 234795 267135 286023 325419 385451 476705 525615 542365 744229 846737 1048751 1156353 1193203 1430115 1627095 1927255 2232687 2303837 2540211 3146253 3579609 3721145 4233685 5243755 5781765 5966015 6911511 8186519 9314107 11163435 11519185 12701055 15731265 17898045 24559557 25342207 27942321 34557555 40932595 46570535 49863343 56731379 76026621 122797785 126711035 139711605 149590029 154357079 170194137 249316715 283656895 380133105 463071237 548496773 624045169 747950145 771785395 850970685 1204906751 1645490319 1697927869 1872135507 2315356185 2742483865 3120225845 3614720253 5093783607 6024533755 8227451595 8489639345 9360677535 13253974261 18073601265 25468918035 39761922783 66269871305 80728752317 198809613915 242186256951 403643761585 888016275487 1210931284755 2664048826461 4440081377435 13320244132305