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12320302320 = 2432531155021
BaseRepresentation
bin10110111100101100…
…01110010011110000
31011210121211012112100
423132112032103300
5200212444133240
65354310500400
7614210561514
oct133626162360
934717735470
1012320302320
115252542537
12247a064700
131214620521
1484c398144
154c193ee30
hex2de58e4f0

12320302320 has 120 divisors (see below), whose sum is σ = 41509477152. Its totient is φ = 3274790400.

The previous prime is 12320302289. The next prime is 12320302361. The reversal of 12320302320 is 2320302321.

It is a happy number.

12320302320 is a `hidden beast` number, since 1 + 23 + 20 + 302 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12320302293 and 12320302302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196410 + ... + 251430.

Almost surely, 212320302320 is an apocalyptic number.

12320302320 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 12320302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20754738576).

12320302320 is an abundant number, since it is smaller than the sum of its proper divisors (29189174832).

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

12320302320 is a wasteful number, since it uses less digits than its factorization.

12320302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55351 (or 55342 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12320302320 its reverse (2320302321), we get a palindrome (14640604641).

Subtracting from 12320302320 its reverse (2320302321), we obtain a palindrome (9999999999).

The spelling of 12320302320 in words is "twelve billion, three hundred twenty million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 311 360 622 720 933 1244 1555 1866 2488 2799 3110 3732 4665 4976 5598 6220 7464 9330 11196 12440 13995 14928 18660 22392 24880 27990 37320 44784 55021 55980 74640 110042 111960 165063 220084 223920 275105 330126 440168 495189 550210 660252 825315 880336 990378 1100420 1320504 1650630 1980756 2200840 2475945 2641008 3301260 3961512 4401680 4951890 6602520 7923024 9903780 13205040 17111531 19807560 34223062 39615120 51334593 68446124 85557655 102669186 136892248 154003779 171115310 205338372 256672965 273784496 308007558 342230620 410676744 513345930 616015116 684461240 770018895 821353488 1026691860 1232030232 1368922480 1540037790 2053383720 2464060464 3080075580 4106767440 6160151160 12320302320