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13211136 = 29324761
BaseRepresentation
bin110010011001…
…011000000000
3220212012021100
4302121120000
511340224021
61151054400
7220202301
oct62313000
926765240
1013211136
1175037a4
124511400
132977353
141a7c7a8
15125e626
hexc99600

13211136 has 120 divisors (see below), whose sum is σ = 39577824. Its totient is φ = 4239360.

The previous prime is 13211129. The next prime is 13211161. The reversal of 13211136 is 63111231.

It is a super-2 number, since 2×132111362 = 349068228820992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216546 + ... + 216606.

Almost surely, 213211136 is an apocalyptic number.

13211136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19788912).

13211136 is an abundant number, since it is smaller than the sum of its proper divisors (26366688).

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

13211136 is an equidigital number, since it uses as much as digits as its factorization.

13211136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 13211136 is about 3634.7126433874. The cubic root of 13211136 is about 236.3995911594.

Adding to 13211136 its reverse (63111231), we get a palindrome (76322367).

The spelling of 13211136 in words is "thirteen million, two hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 61 64 72 94 96 122 128 141 144 183 188 192 244 256 282 288 366 376 384 423 488 512 549 564 576 732 752 768 846 976 1098 1128 1152 1464 1504 1536 1692 1952 2196 2256 2304 2867 2928 3008 3384 3904 4392 4512 4608 5734 5856 6016 6768 7808 8601 8784 9024 11468 11712 12032 13536 15616 17202 17568 18048 22936 23424 24064 25803 27072 31232 34404 35136 36096 45872 46848 51606 54144 68808 70272 72192 91744 93696 103212 108288 137616 140544 183488 206424 216576 275232 281088 366976 412848 550464 733952 825696 1100928 1467904 1651392 2201856 3302784 4403712 6605568 13211136