Search a number
-
+
13212342 = 23311132959
BaseRepresentation
bin110010011001…
…101010110110
3220212020221000
4302121222312
511340243332
61151104130
7220205643
oct62315266
926766830
1013212342
1175046a0
124512046
132977a70
141a7cdca
15125eb7c
hexc99ab6

13212342 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3507840.

The previous prime is 13212341. The next prime is 13212347. The reversal of 13212342 is 24321231.

13212342 is a `hidden beast` number, since 1 + 321 + 2 + 342 = 666.

It is a super-2 number, since 2×132123422 = 349131962249928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223909 + ... + 223967.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 213212342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

13212342 is an abundant number, since it is smaller than the sum of its proper divisors (23075658).

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

13212342 is a wasteful number, since it uses less digits than its factorization.

13212342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 13212342 is about 3634.8785399240. The cubic root of 13212342 is about 236.4067843140.

Adding to 13212342 its reverse (24321231), we get a palindrome (37533573).

Subtracting 13212342 from its reverse (24321231), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1321 and 2342, that added together give a palindrome (3663).

The spelling of 13212342 in words is "thirteen million, two hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 29 33 39 54 58 59 66 78 87 99 117 118 143 174 177 198 234 261 286 297 319 351 354 377 429 522 531 594 638 649 702 754 767 783 858 957 1062 1131 1287 1298 1534 1566 1593 1711 1914 1947 2262 2301 2574 2871 3186 3393 3422 3861 3894 4147 4602 5133 5742 5841 6786 6903 7722 8294 8437 8613 10179 10266 11682 12441 13806 15399 16874 17226 17523 18821 20358 20709 22243 24882 25311 30798 35046 37323 37642 41418 44486 46197 50622 56463 66729 74646 75933 92394 111969 112926 133458 151866 169389 200187 223938 227799 244673 338778 400374 455598 489346 508167 600561 734019 1016334 1201122 1468038 2202057 4404114 6606171 13212342