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13243004334 = 2337173313647
BaseRepresentation
bin11000101010101100…
…00011010110101110
31021011221001022202000
430111112003112232
5204110202114314
610030031313130
7646113452040
oct142526032656
937157038660
1013243004334
11568637018a
12269707b7a6
131330835151
148d8b43a90
15527953209
hex3155835ae

13243004334 has 128 divisors (see below), whose sum is σ = 33987962880. Its totient is φ = 3744029952.

The previous prime is 13243004323. The next prime is 13243004353. The reversal of 13243004334 is 43340034231.

13243004334 is a `hidden beast` number, since 1 + 3 + 24 + 300 + 4 + 334 = 666.

13243004334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13243004298 and 13243004307.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20467999 + ... + 20468645.

It is an arithmetic number, because the mean of its divisors is an integer number (265530960).

Almost surely, 213243004334 is an apocalyptic number.

13243004334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13243004334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16993981440).

13243004334 is an abundant number, since it is smaller than the sum of its proper divisors (20744958546).

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

13243004334 is a wasteful number, since it uses less digits than its factorization.

13243004334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 13243004334 its reverse (43340034231), we get a palindrome (56583038565).

The spelling of 13243004334 in words is "thirteen billion, two hundred forty-three million, four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 173 189 313 346 378 519 626 647 939 1038 1211 1294 1557 1878 1941 2191 2422 2817 3114 3633 3882 4382 4529 4671 5634 5823 6573 7266 8451 9058 9342 10899 11646 13146 13587 16902 17469 19719 21798 27174 32697 34938 39438 40761 54149 59157 65394 81522 108298 111931 118314 122283 162447 202511 223862 244566 324894 335793 379043 405022 487341 607533 671586 758086 783517 974682 1007379 1137129 1215066 1417577 1462023 1567034 1822599 2014758 2274258 2350551 2835154 2924046 3022137 3411387 3645198 4252731 4701102 5467797 6044274 6822774 7051653 8505462 10234161 10935594 12758193 14103306 20468322 21154959 25516386 35034403 38274579 42309918 70068806 76549158 105103209 210206418 245240821 315309627 490481642 630619254 735722463 945928881 1471444926 1891857762 2207167389 4414334778 6621502167 13243004334