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201103031313 = 36275861497
BaseRepresentation
bin1011101101001010101…
…1001011110000010001
3201020002012211111000000
42323102223023300101
511243324334000223
6232215131520213
720346343363512
oct2732253136021
9636065744000
10201103031313
1178318466a28
1232b84bb9069
1315c6b9c1822
149a3a7aca09
155370208543
hex2ed2acbc11

201103031313 has 14 divisors (see below), whose sum is σ = 301516617314. Its totient is φ = 134068687056.

The previous prime is 201103031299. The next prime is 201103031333. The reversal of 201103031313 is 313130301102.

It is a happy number.

201103031313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 200786440464 + 316590849 = 448092^2 + 17793^2 .

It is not a de Polignac number, because 201103031313 - 217 = 201102900241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201103031333) 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 13 ways as a sum of consecutive naturals, for example, 137930020 + ... + 137931477.

Almost surely, 2201103031313 is an apocalyptic number.

It is an amenable number.

201103031313 is a deficient number, since it is larger than the sum of its proper divisors (100413586001).

201103031313 is an frugal number, since it uses more digits than its factorization.

201103031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275861515 (or 275861500 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 201103031313 its reverse (313130301102), we get a palindrome (514233332415).

The spelling of 201103031313 in words is "two hundred one billion, one hundred three million, thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 27 81 243 729 275861497 827584491 2482753473 7448260419 22344781257 67034343771 201103031313