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13324311 = 33711131729
BaseRepresentation
bin110010110101…
…000000010111
3221001221112000
4302311000113
511402334221
61153330343
7221153250
oct62650027
927057460
1013324311
117580830
1245669b3
1329b6a10
141aabb27
151282e26
hexcb5017

13324311 has 128 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 5806080.

The previous prime is 13324309. The next prime is 13324319. The reversal of 13324311 is 11342331.

13324311 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13324311 - 21 = 13324309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13324319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 459445 + ... + 459473.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 213324311 is an apocalyptic number.

13324311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13324311 is an abundant number, since it is smaller than the sum of its proper divisors (15706089).

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

13324311 is a wasteful number, since it uses less digits than its factorization.

13324311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13324311 is about 3650.2480737616. The cubic root of 13324311 is about 237.0727224356.

Adding to 13324311 its reverse (11342331), we get a palindrome (24666642).

The spelling of 13324311 in words is "thirteen million, three hundred twenty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 11 13 17 21 27 29 33 39 51 63 77 87 91 99 117 119 143 153 187 189 203 221 231 261 273 297 319 351 357 377 429 459 493 561 609 663 693 783 819 957 1001 1071 1131 1287 1309 1479 1547 1683 1827 1989 2079 2233 2431 2457 2639 2871 3003 3213 3393 3451 3861 3927 4147 4437 4641 5049 5423 5481 5967 6409 6699 7293 7917 8613 9009 10179 10353 11781 12441 13311 13923 16269 17017 19227 20097 21879 23751 27027 29029 31059 35343 37323 37961 41769 44863 48807 51051 57681 60291 65637 70499 71253 87087 93177 111969 113883 134589 146421 153153 173043 211497 261261 341649 403767 459459 493493 634491 783783 1024947 1211301 1480479 1903473 4441437 13324311