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11313212313 = 3131915267493
BaseRepresentation
bin10101000100101000…
…11110101110011001
31002012102210201202110
422202110132232121
5141132140243223
65110333222533
7550231501164
oct124224365631
932172721673
1011313212313
114886016947
122238931a49
1310b3aa0190
14794722adb
1546330cd93
hex2a251eb99

11313212313 has 16 divisors (see below), whose sum is σ = 17099593280. Its totient is φ = 6595556544.

The previous prime is 11313212257. The next prime is 11313212321. The reversal of 11313212313 is 31321231311.

It is a happy number.

11313212313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11313212313 - 26 = 11313212249 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11313212313.

It is not an unprimeable number, because it can be changed into a prime (11313212413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7633006 + ... + 7634487.

It is an arithmetic number, because the mean of its divisors is an integer number (1068724580).

Almost surely, 211313212313 is an apocalyptic number.

11313212313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11313212313 is a deficient number, since it is larger than the sum of its proper divisors (5786380967).

11313212313 is a wasteful number, since it uses less digits than its factorization.

11313212313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15267528.

The product of its digits is 324, while the sum is 21.

Adding to 11313212313 its reverse (31321231311), we get a palindrome (42634443624).

It can be divided in two parts, 11 and 313212313, that multiplied together give a palindrome (3445335443).

The spelling of 11313212313 in words is "eleven billion, three hundred thirteen million, two hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 13 19 39 57 247 741 15267493 45802479 198477409 290082367 595432227 870247101 3771070771 11313212313