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12103242312 = 2337417612309
BaseRepresentation
bin10110100010110100…
…01101001001001000
31011020111101102011210
423101122031021020
5144241412223222
65320554253120
7605633601510
oct132132151110
934214342153
1012103242312
115150a680a7
1224194271a0
1311ab672055
1482b614840
154ac865d0c
hex2d168d248

12103242312 has 128 divisors (see below), whose sum is σ = 35486035200. Its totient is φ = 3367833600.

The previous prime is 12103242299. The next prime is 12103242317. The reversal of 12103242312 is 21324230121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12103242317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5240614 + ... + 5242922.

It is an arithmetic number, because the mean of its divisors is an integer number (277234650).

Almost surely, 212103242312 is an apocalyptic number.

12103242312 is a gapful number since it is divisible by the number (12) 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 12103242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743017600).

12103242312 is an abundant number, since it is smaller than the sum of its proper divisors (23382792888).

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

12103242312 is a wasteful number, since it uses less digits than its factorization.

12103242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3123 counting only the distinct ones).

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

Adding to 12103242312 its reverse (21324230121), we get a palindrome (33427472433).

The spelling of 12103242312 in words is "twelve billion, one hundred three million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 761 861 984 1148 1522 1722 2283 2296 2309 3044 3444 4566 4618 5327 6088 6888 6927 9132 9236 10654 13854 15981 16163 18264 18472 21308 27708 31201 31962 32326 42616 48489 55416 62402 63924 64652 93603 94669 96978 124804 127848 129304 187206 189338 193956 218407 249608 284007 374412 378676 387912 436814 568014 655221 662683 748824 757352 873628 1136028 1310442 1325366 1747256 1757149 1988049 2272056 2620884 2650732 3514298 3976098 5241768 5271447 5301464 7028596 7952196 10542894 12300043 14057192 15904392 21085788 24600086 36900129 42171576 49200172 72043109 73800258 98400344 144086218 147600516 216129327 288172436 295201032 432258654 504301763 576344872 864517308 1008603526 1512905289 1729034616 2017207052 3025810578 4034414104 6051621156 12103242312