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13311002200223 = 7213791393795021
BaseRepresentation
bin1100000110110011010110…
…0011101100100010011111
31202010112000122000020101202
43001230311203230202133
53221041413030401343
644150553501030115
72542455020602400
oct301546543544237
952115018006352
1013311002200223
1142721897a7952
1215ab91785533b
137572b7001c70
1434038244b9a7
151813b2bbbdb8
hexc1b358ec89f

13311002200223 has 96 divisors (see below), whose sum is σ = 17056158336000. Its totient is φ = 10294369263360.

The previous prime is 13311002200213. The next prime is 13311002200241. The reversal of 13311002200223 is 32200220011331.

It is not a de Polignac number, because 13311002200223 - 26 = 13311002200159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13311002200195 and 13311002200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311002200213) 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 95 ways as a sum of consecutive naturals, for example, 2651063453 + ... + 2651068473.

It is an arithmetic number, because the mean of its divisors is an integer number (177668316000).

Almost surely, 213311002200223 is an apocalyptic number.

13311002200223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13311002200223 is a deficient number, since it is larger than the sum of its proper divisors (3745156135777).

13311002200223 is a wasteful number, since it uses less digits than its factorization.

13311002200223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13311002200223 its reverse (32200220011331), we get a palindrome (45511222211554).

The spelling of 13311002200223 in words is "thirteen trillion, three hundred eleven billion, two million, two hundred thousand, two hundred twenty-three".

Divisors: 1 7 13 49 79 91 139 379 553 637 973 1027 1807 2653 3871 4927 5021 6811 7189 10981 12649 18571 29941 34489 35147 50323 52681 65273 76867 88543 142753 209587 241423 246029 368767 389233 396659 456911 538069 684853 697919 999271 1467109 1902959 2581369 2724631 2776613 3198377 4161799 4793971 4885433 5156567 6994897 9072947 13320713 19072417 19436291 24738467 29132593 33557797 34198031 36095969 54103387 55135601 63510629 93244991 150333761 173169269 203928151 252671783 264511301 378723709 385949207 444574403 716762813 1052336327 1212184883 1851579107 1954338893 2651065963 2701644449 3438646913 5017339691 7366354289 12961053749 13680372251 20896392779 24070528391 35121377837 95762605757 146274749453 168493698737 271653106127 1023923246171 1901571742889 13311002200223