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12513102360 = 23351170113523
BaseRepresentation
bin10111010011101011…
…01100101000011000
31012022001121110110120
423221311230220120
5201111323233420
65425355113240
7622041420663
oct135165545030
935261543416
1012513102360
115341358010
122512742820
1312455565a5
14869c246da
154d3825d40
hex2e9d6ca18

12513102360 has 128 divisors (see below), whose sum is σ = 41013423360. Its totient is φ = 3028928000.

The previous prime is 12513102269. The next prime is 12513102361. The reversal of 12513102360 is 6320131521.

12513102360 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 12513102360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12513102361) by changing a digit.

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, 918559 + ... + 932081.

It is an arithmetic number, because the mean of its divisors is an integer number (320417370).

Almost surely, 212513102360 is an apocalyptic number.

12513102360 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 12513102360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20506711680).

12513102360 is an abundant number, since it is smaller than the sum of its proper divisors (28500321000).

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

12513102360 is a wasteful number, since it uses less digits than its factorization.

12513102360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14249 (or 14245 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 12513102360 its reverse (6320131521), we get a palindrome (18833233881).

The spelling of 12513102360 in words is "twelve billion, five hundred thirteen million, one hundred two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 701 1320 1402 2103 2804 3505 4206 5608 7010 7711 8412 10515 13523 14020 15422 16824 21030 23133 27046 28040 30844 38555 40569 42060 46266 54092 61688 67615 77110 81138 84120 92532 108184 115665 135230 148753 154220 162276 185064 202845 231330 270460 297506 308440 324552 405690 446259 462660 540920 595012 743765 811380 892518 925320 1190024 1487530 1622760 1785036 2231295 2975060 3570072 4462590 5950120 8925180 9479623 17850360 18959246 28438869 37918492 47398115 56877738 75836984 94796230 104275853 113755476 142194345 189592460 208551706 227510952 284388690 312827559 379184920 417103412 521379265 568777380 625655118 834206824 1042758530 1137554760 1251310236 1564137795 2085517060 2502620472 3128275590 4171034120 6256551180 12513102360