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11201132313 = 327225399393
BaseRepresentation
bin10100110111010001…
…11011011100011001
31001220121220110220100
422123220323130121
5140414442213223
65051251050013
7544401024300
oct123350733431
931817813810
1011201132313
114828824548
1222072a0909
1310967ba157
147838a9437
1545856e043
hex29ba3b719

11201132313 has 18 divisors (see below), whose sum is σ = 18820950954. Its totient is φ = 6400646784.

The previous prime is 11201132279. The next prime is 11201132333. The reversal of 11201132313 is 31323110211.

It can be written as a sum of positive squares in only one way, i.e., 6257917449 + 4943214864 = 79107^2 + 70308^2 .

It is not a de Polignac number, because 11201132313 - 212 = 11201128217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11201132333) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 12699256 + ... + 12700137.

Almost surely, 211201132313 is an apocalyptic number.

It is an amenable number.

11201132313 is a deficient number, since it is larger than the sum of its proper divisors (7619818641).

11201132313 is a wasteful number, since it uses less digits than its factorization.

11201132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25399413 (or 25399403 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11201132313 its reverse (31323110211), we get a palindrome (42524242524).

The spelling of 11201132313 in words is "eleven billion, two hundred one million, one hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 441 25399393 76198179 177795751 228594537 533387253 1244570257 1600161759 3733710771 11201132313