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12318291180 = 223251310351109
BaseRepresentation
bin10110111100011101…
…00011010011101100
31011210111001000202200
423132032203103230
5200211440304210
65354155421500
7614154514236
oct133616432354
934714030680
1012318291180
115251399538
122479454890
131214097cc0
1484bdd3256
154c16940c0
hex2de3a34ec

12318291180 has 144 divisors (see below), whose sum is σ = 40631223360. Its totient is φ = 3002697216.

The previous prime is 12318291163. The next prime is 12318291233. The reversal of 12318291180 is 8119281321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215466 + ... + 266574.

Almost surely, 212318291180 is an apocalyptic number.

12318291180 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 12318291180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20315611680).

12318291180 is an abundant number, since it is smaller than the sum of its proper divisors (28312932180).

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

12318291180 is a wasteful number, since it uses less digits than its factorization.

12318291180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51240 (or 51235 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 12318291180 in words is "twelve billion, three hundred eighteen million, two hundred ninety-one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 103 117 130 156 180 195 206 234 260 309 390 412 468 515 585 618 780 927 1030 1170 1236 1339 1545 1854 2060 2340 2678 3090 3708 4017 4635 5356 6180 6695 8034 9270 12051 13390 16068 18540 20085 24102 26780 40170 48204 51109 60255 80340 102218 120510 153327 204436 241020 255545 306654 459981 511090 613308 664417 766635 919962 1022180 1328834 1533270 1839924 1993251 2299905 2657668 3066540 3322085 3986502 4599810 5264227 5979753 6644170 7973004 9199620 9966255 10528454 11959506 13288340 15792681 19932510 21056908 23919012 26321135 29898765 31585362 39865020 47378043 52642270 59797530 63170724 68434951 78963405 94756086 105284540 119595060 136869902 157926810 189512172 205304853 236890215 273739804 315853620 342174755 410609706 473780430 615914559 684349510 821219412 947560860 1026524265 1231829118 1368699020 2053048530 2463658236 3079572795 4106097060 6159145590 12318291180