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12130338 = 23112361131
BaseRepresentation
bin101110010001…
…100000100010
3211211021200210
4232101200202
511101132323
61111554550
7205051263
oct56214042
924737623
1012130338
116935780
12408ba56
13268941c
14187a96a
1510e9293
hexb91822

12130338 has 64 divisors (see below), whose sum is σ = 28283904. Its totient is φ = 3432000.

The previous prime is 12130319. The next prime is 12130351. The reversal of 12130338 is 83303121.

It is a happy number.

It is a super-3 number, since 3×121303383 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92533 + ... + 92663.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 212130338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14141952).

12130338 is an abundant number, since it is smaller than the sum of its proper divisors (16153566).

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

12130338 is a wasteful number, since it uses less digits than its factorization.

12130338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12130338 is about 3482.8634770832. The cubic root of 12130338 is about 229.7687530846.

Adding to 12130338 its reverse (83303121), we get a palindrome (95433459).

The spelling of 12130338 in words is "twelve million, one hundred thirty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 22 23 33 46 61 66 69 122 131 138 183 253 262 366 393 506 671 759 786 1342 1403 1441 1518 2013 2806 2882 3013 4026 4209 4323 6026 7991 8418 8646 9039 15433 15982 18078 23973 30866 33143 46299 47946 66286 87901 92598 99429 175802 183793 198858 263703 367586 527406 551379 1102758 2021723 4043446 6065169 12130338