Search a number
-
+
13312203042320 = 2457131828599319
BaseRepresentation
bin1100000110110111110100…
…1000100010111000010000
31202010122010022121100001222
43001231331020202320100
53221101342434323240
644151312555144212
72542526541565640
oct301557510427020
952118108540058
1013312203042320
114272745629336
1215abbb1a45068
13757448a2c810
14340457b1a520
15181433321eb5
hexc1b7d222e10

13312203042320 has 80 divisors (see below), whose sum is σ = 38093381034240. Its totient is φ = 4213092828672.

The previous prime is 13312203042317. The next prime is 13312203042343. The reversal of 13312203042320 is 2324030221331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13312203042320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 914292380 + ... + 914306939.

It is an arithmetic number, because the mean of its divisors is an integer number (476167262928).

Almost surely, 213312203042320 is an apocalyptic number.

13312203042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312203042320 is an abundant number, since it is smaller than the sum of its proper divisors (24781177991920).

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

13312203042320 is a wasteful number, since it uses less digits than its factorization.

13312203042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828599352 (or 1828599346 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 13312203042320 its reverse (2324030221331), we get a palindrome (15636233263651).

The spelling of 13312203042320 in words is "thirteen trillion, three hundred twelve billion, two hundred three million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 1828599319 3657198638 7314397276 9142996595 12800195233 14628794552 18285993190 23771791147 25600390466 29257589104 36571986380 47543582294 51200780932 64000976165 73143972760 95087164588 102401561864 118858955735 128001952330 146287945520 166402538029 190174329176 204803123728 237717911470 256003904660 332805076058 380348658352 475435822940 512007809320 665610152116 832012690145 950871645880 1024015618640 1331220304232 1664025380290 1901743291760 2662440608464 3328050760580 6656101521160 13312203042320