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12103144320 = 27356479743
BaseRepresentation
bin10110100010110011…
…10101001110000000
31011020111012102202110
423101121311032000
5144241401104240
65320552215320
7605633013021
oct132131651600
934214172673
1012103144320
115150a00513
12241939a540
1311ab639577
1482b5cac48
154ac846c80
hex2d1675380

12103144320 has 128 divisors (see below), whose sum is σ = 38642365440. Its totient is φ = 3222185984.

The previous prime is 12103144309. The next prime is 12103144327. The reversal of 12103144320 is 2344130121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×121031443202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103144327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237369 + ... + 1247111.

It is an arithmetic number, because the mean of its divisors is an integer number (301893480).

Almost surely, 212103144320 is an apocalyptic number.

12103144320 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 12103144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19321182720).

12103144320 is an abundant number, since it is smaller than the sum of its proper divisors (26539221120).

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

12103144320 is an equidigital number, since it uses as much as digits as its factorization.

12103144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10400 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12103144320 its reverse (2344130121), we get a palindrome (14447274441).

The spelling of 12103144320 in words is "twelve billion, one hundred three million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 647 960 1294 1920 1941 2588 3235 3882 5176 6470 7764 9705 9743 10352 12940 15528 19410 19486 20704 25880 29229 31056 38820 38972 41408 48715 51760 58458 62112 77640 77944 82816 97430 103520 116916 124224 146145 155280 155888 194860 207040 233832 248448 292290 310560 311776 389720 414080 467664 584580 621120 623552 779440 935328 1169160 1242240 1247104 1558880 1870656 2338320 3117760 3741312 4676640 6235520 6303721 9353280 12607442 18706560 18911163 25214884 31518605 37822326 50429768 63037210 75644652 94555815 100859536 126074420 151289304 189111630 201719072 252148840 302578608 378223260 403438144 504297680 605157216 756446520 806876288 1008595360 1210314432 1512893040 2017190720 2420628864 3025786080 4034381440 6051572160 12103144320