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13314111330 = 2351334138747
BaseRepresentation
bin11000110011001010…
…10011011101100010
31021100212211221012110
430121211103131202
5204231403030310
610041051340150
7650636036052
oct143145233542
937325757173
1013314111330
1157125179a3
1226b6a51656
1313424a07b0
14904373562
1552dcebd20
hex319953762

13314111330 has 32 divisors (see below), whose sum is σ = 34411857984. Its totient is φ = 3277319616.

The previous prime is 13314111271. The next prime is 13314111331. The reversal of 13314111330 is 3311141331.

13314111330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13314111297 and 13314111306.

It is not an unprimeable number, because it can be changed into a prime (13314111331) 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, 17068984 + ... + 17069763.

It is an arithmetic number, because the mean of its divisors is an integer number (1075370562).

Almost surely, 213314111330 is an apocalyptic number.

13314111330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13314111330 is an abundant number, since it is smaller than the sum of its proper divisors (21097746654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13314111330 is a wasteful number, since it uses less digits than its factorization.

13314111330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34138770.

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

Adding to 13314111330 its reverse (3311141331), we get a palindrome (16625252661).

The spelling of 13314111330 in words is "thirteen billion, three hundred fourteen million, one hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 34138747 68277494 102416241 170693735 204832482 341387470 443803711 512081205 887607422 1024162410 1331411133 2219018555 2662822266 4438037110 6657055665 13314111330