Search a number
-
+
12105143160 = 23351173312511
BaseRepresentation
bin10110100011000010…
…11101001101111000
31011020121221222122120
423101201131031320
5144242404040120
65321103121240
7605656006365
oct132141351570
934217858576
1012105143160
115152046250
122419ba3220
1311abb89306
1482b98b46c
154acade140
hex2d185d378

12105143160 has 128 divisors (see below), whose sum is σ = 39674050560. Its totient is φ = 2930342400.

The previous prime is 12105143117. The next prime is 12105143189. The reversal of 12105143160 is 6134150121.

It is a happy number.

12105143160 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12105143160.

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 31 ways as a sum of consecutive naturals, for example, 961305 + ... + 973815.

It is an arithmetic number, because the mean of its divisors is an integer number (309953520).

Almost surely, 212105143160 is an apocalyptic number.

12105143160 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 12105143160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837025280).

12105143160 is an abundant number, since it is smaller than the sum of its proper divisors (27568907400).

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

12105143160 is a wasteful number, since it uses less digits than its factorization.

12105143160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13269 (or 13265 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 12105143160 its reverse (6134150121), we get a palindrome (18239293281).

The spelling of 12105143160 in words is "twelve billion, one hundred five million, one hundred forty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 733 1320 1466 2199 2932 3665 4398 5864 7330 8063 8796 10995 12511 14660 16126 17592 21990 24189 25022 29320 32252 37533 40315 43980 48378 50044 62555 64504 75066 80630 87960 96756 100088 120945 125110 137621 150132 161260 187665 193512 241890 250220 275242 300264 322520 375330 412863 483780 500440 550484 688105 750660 825726 967560 1100968 1376210 1501320 1651452 2064315 2752420 3302904 4128630 5504840 8257260 9170563 16514520 18341126 27511689 36682252 45852815 55023378 73364504 91705630 100876193 110046756 137558445 183411260 201752386 220093512 275116890 302628579 366822520 403504772 504380965 550233780 605257158 807009544 1008761930 1100467560 1210514316 1513142895 2017523860 2421028632 3026285790 4035047720 6052571580 12105143160