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12303130320 = 24325131314437
BaseRepresentation
bin10110111010101001…
…01101111011010000
31011202102111202222100
423131110231323100
5200144100132240
65352454440400
7613611611415
oct133524557320
934672452870
1012303130320
1152438839a8
122474363100
131210bba390
14849da810c
154c019be30
hex2dd52ded0

12303130320 has 120 divisors (see below), whose sum is σ = 44496355176. Its totient is φ = 3028460544.

The previous prime is 12303130303. The next prime is 12303130349. The reversal of 12303130320 is 2303130321.

12303130320 is a `hidden beast` number, since 1 + 2 + 30 + 313 + 0 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 942981264 + 11360149056 = 30708^2 + 106584^2 .

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 = 12303130293 and 12303130302.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 647859 + ... + 666578.

Almost surely, 212303130320 is an apocalyptic number.

12303130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12303130320 is an abundant number, since it is smaller than the sum of its proper divisors (32193224856).

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

12303130320 is a wasteful number, since it uses less digits than its factorization.

12303130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314469 (or 1314460 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12303130320 its reverse (2303130321), we get a palindrome (14606260641).

Subtracting from 12303130320 its reverse (2303130321), we obtain a palindrome (9999999999).

It can be divided in two parts, 123031 and 30320, that added together give a palindrome (153351).

The spelling of 12303130320 in words is "twelve billion, three hundred three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 1314437 2628874 3943311 5257748 6572185 7886622 10515496 11829933 13144370 15773244 17087681 19716555 21030992 23659866 26288740 31546488 34175362 39433110 47319732 51263043 52577480 59149665 63092976 68350724 78866220 85438405 94639464 102526086 105154960 118299330 136701448 153789129 157732440 170876810 189278928 205052172 236598660 256315215 273402896 307578258 315464880 341753620 410104344 473197320 512630430 615156516 683507240 768945645 820208688 946394640 1025260860 1230313032 1367014480 1537891290 2050521720 2460626064 3075782580 4101043440 6151565160 12303130320