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13211223311 = 11132173791103
BaseRepresentation
bin11000100110111001…
…10100010100001111
31021002201020200101002
430103130310110033
5204024033121221
610022534210515
7645246355016
oct142334642417
937081220332
1013211223311
11566a433680
1226884b3a3b
131327088600
148d482da7d
15524c7680b
hex31373450f

13211223311 has 48 divisors (see below), whose sum is σ = 16582786560. Its totient is φ = 10397237760.

The previous prime is 13211223307. The next prime is 13211223313. The reversal of 13211223311 is 11332211231.

It is a happy number.

13211223311 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 13211223311 - 22 = 13211223307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211223313) 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 47 ways as a sum of consecutive naturals, for example, 11976986 + ... + 11978088.

It is an arithmetic number, because the mean of its divisors is an integer number (345474720).

Almost surely, 213211223311 is an apocalyptic number.

13211223311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13211223311 is a deficient number, since it is larger than the sum of its proper divisors (3371563249).

13211223311 is a wasteful number, since it uses less digits than its factorization.

13211223311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1523 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

Adding to 13211223311 its reverse (11332211231), we get a palindrome (24543434542).

The spelling of 13211223311 in words is "thirteen billion, two hundred eleven million, two hundred twenty-three thousand, three hundred eleven".

Divisors: 1 11 13 17 143 169 187 221 379 1103 1859 2431 2873 4169 4927 6443 12133 14339 18751 31603 54197 64051 70873 83759 157729 186407 206261 243763 418037 704561 921349 1088867 2050477 2681393 3168919 4598407 5434481 7106629 11977537 34858109 59779291 70648253 78172919 92386177 777130783 1016247947 1201020301 13211223311