Search a number
-
+
12105500 = 2253113171
BaseRepresentation
bin101110001011…
…011100011100
3211210000121212
4232023130130
511044334000
61111243552
7204616001
oct56133434
924700555
1012105500
116919050
1240795b8
13267b024
1418718a8
1510e1c35
hexb8b71c

12105500 has 96 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 4200000.

The previous prime is 12105491. The next prime is 12105523. The reversal of 12105500 is 550121.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 170465 + ... + 170535.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 212105500 is an apocalyptic number.

12105500 is a gapful number since it is divisible by the number (10) 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 12105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

12105500 is an abundant number, since it is smaller than the sum of its proper divisors (18086116).

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

12105500 is a wasteful number, since it uses less digits than its factorization.

12105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 12105500 is about 3479.2959057832. The cubic root of 12105500 is about 229.6118215979.

Adding to 12105500 its reverse (550121), we get a palindrome (12655621).

The spelling of 12105500 in words is "twelve million, one hundred five thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 71 100 110 124 125 142 155 220 250 275 284 310 341 355 500 550 620 682 710 775 781 1100 1364 1375 1420 1550 1562 1705 1775 2201 2750 3100 3124 3410 3550 3875 3905 4402 5500 6820 7100 7750 7810 8525 8804 8875 11005 15500 15620 17050 17750 19525 22010 24211 34100 35500 39050 42625 44020 48422 55025 78100 85250 96844 97625 110050 121055 170500 195250 220100 242110 275125 390500 484220 550250 605275 1100500 1210550 2421100 3026375 6052750 12105500