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12343114410 = 2351123499743
BaseRepresentation
bin10110111111011010…
…01111101010101010
31011212012202011211120
423133231033222222
5200234314130120
65400443440110
7614605512204
oct133755175252
934765664746
1012343114410
115264403600
122485826036
1312192798c3
14851415774
154c3949140
hex2dfb4faaa

12343114410 has 96 divisors (see below), whose sum is σ = 32657990400. Its totient is φ = 2983390080.

The previous prime is 12343114387. The next prime is 12343114451. The reversal of 12343114410 is 1441134321.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1261999 + ... + 1271741.

It is an arithmetic number, because the mean of its divisors is an integer number (340187400).

Almost surely, 212343114410 is an apocalyptic number.

12343114410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12343114410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16328995200).

12343114410 is an abundant number, since it is smaller than the sum of its proper divisors (20314875990).

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

12343114410 is a wasteful number, since it uses less digits than its factorization.

12343114410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10124 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12343114410 its reverse (1441134321), we get a palindrome (13784248731).

The spelling of 12343114410 in words is "twelve billion, three hundred forty-three million, one hundred fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 349 363 605 698 726 1047 1210 1745 1815 2094 3490 3630 3839 5235 7678 9743 10470 11517 19195 19486 23034 29229 38390 42229 48715 57585 58458 84458 97430 107173 115170 126687 146145 211145 214346 253374 292290 321519 422290 535865 633435 643038 1071730 1178903 1266870 1607595 2357806 3215190 3400307 3536709 5894515 6800614 7073418 10200921 11789030 17001535 17683545 20401842 34003070 35367090 37403377 51004605 74806754 102009210 112210131 187016885 224420262 374033770 411437147 561050655 822874294 1122101310 1234311441 2057185735 2468622882 4114371470 6171557205 12343114410