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11341313205521 = 1317227767316193
BaseRepresentation
bin1010010100001001101011…
…1100011110010100010001
31111011012220121122222212112
42211002122330132110101
52441304002140034041
640042043302035105
72250245212440215
oct245023274362421
944135817588775
1011341313205521
113682907700a72
121332032a18a95
136436343b4ab0
142b2ccb442945
1514a030c9cdeb
hexa509af1e511

11341313205521 has 48 divisors (see below), whose sum is σ = 13041430718064. Its totient is φ = 9802322804736.

The previous prime is 11341313205461. The next prime is 11341313205569. The reversal of 11341313205521 is 12550231314311.

It can be written as a sum of positive squares in 24 ways, for example, as 3853510337296 + 7487802868225 = 1963036^2 + 2736385^2 .

It is not a de Polignac number, because 11341313205521 - 242 = 6943266694417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11341313205581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700375601 + ... + 700391793.

It is an arithmetic number, because the mean of its divisors is an integer number (271696473293).

Almost surely, 211341313205521 is an apocalyptic number.

It is an amenable number.

11341313205521 is a deficient number, since it is larger than the sum of its proper divisors (1700117512543).

11341313205521 is a wasteful number, since it uses less digits than its factorization.

11341313205521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17190 (or 17173 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

Adding to 11341313205521 its reverse (12550231314311), we get a palindrome (23891544519832).

The spelling of 11341313205521 in words is "eleven trillion, three hundred forty-one billion, three hundred thirteen million, two hundred five thousand, five hundred twenty-one".

Divisors: 1 13 17 221 277 289 673 3601 3757 4709 8749 11441 16193 61217 80053 148733 186421 194497 210509 275281 1040689 2423473 2528461 3169157 3578653 4485461 4679777 10897889 41199041 53875669 58310993 60837101 76252837 141672557 185264113 700383697 991286881 1296298229 2408433469 3018715253 3149489921 16851876977 39243298289 40943368973 51318159301 667136070913 872408708117 11341313205521