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12343310112 = 253723770919
BaseRepresentation
bin10110111111011011…
…11111011100100000
31011212020010010021210
423133231333130200
5200234341410422
65400451550120
7614610255600
oct133755773440
934766103253
1012343310112
115264527641
1224858bb340
1312193179c3
14851466c00
154c398710c
hex2dfb7f720

12343310112 has 144 divisors (see below), whose sum is σ = 38710405440. Its totient is φ = 3431296512.

The previous prime is 12343310101. The next prime is 12343310117. The reversal of 12343310112 is 21101334321.

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 (12343310117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138589 + ... + 209507.

It is an arithmetic number, because the mean of its divisors is an integer number (268822260).

Almost surely, 212343310112 is an apocalyptic number.

12343310112 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 12343310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355202720).

12343310112 is an abundant number, since it is smaller than the sum of its proper divisors (26367095328).

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

12343310112 is a wasteful number, since it uses less digits than its factorization.

12343310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70983 (or 70968 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12343310112 its reverse (21101334321), we get a palindrome (33444644433).

The spelling of 12343310112 in words is "twelve billion, three hundred forty-three million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 74 84 96 98 111 112 147 148 168 196 222 224 259 294 296 336 392 444 518 588 592 672 777 784 888 1036 1176 1184 1554 1568 1776 1813 2072 2352 3108 3552 3626 4144 4704 5439 6216 7252 8288 10878 12432 14504 21756 24864 29008 43512 58016 70919 87024 141838 174048 212757 283676 425514 496433 567352 851028 992866 1134704 1489299 1702056 1985732 2269408 2624003 2978598 3404112 3475031 3971464 5248006 5957196 6808224 6950062 7872009 7942928 10425093 10496012 11914392 13900124 15744018 15885856 18368021 20850186 20992024 23828784 27800248 31488036 36736042 41700372 41984048 47657568 55104063 55600496 62976072 73472084 83400744 83968096 110208126 111200992 125952144 128576147 146944168 166801488 220416252 251904288 257152294 293888336 333602976 385728441 440832504 514304588 587776672 771456882 881665008 1028609176 1542913764 1763330016 2057218352 3085827528 4114436704 6171655056 12343310112