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12303113320 = 2351959327299
BaseRepresentation
bin10110111010101001…
…01001110001101000
31011202102110220122201
423131110221301220
5200144044111240
65352454225544
7613611511021
oct133524516150
934672426581
1012303113320
115243872153
1224743552b4
131210bb2714
14849da1c48
154c0196d9a
hex2dd529c68

12303113320 has 64 divisors (see below), whose sum is σ = 29189160000. Its totient is φ = 4654199808.

The previous prime is 12303113281. The next prime is 12303113351. The reversal of 12303113320 is 2331130321.

12303113320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123031133202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437031 + ... + 464329.

It is an arithmetic number, because the mean of its divisors is an integer number (456080625).

Almost surely, 212303113320 is an apocalyptic number.

12303113320 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 12303113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594580000).

12303113320 is an abundant number, since it is smaller than the sum of its proper divisors (16886046680).

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

12303113320 is a wasteful number, since it uses less digits than its factorization.

12303113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27922 (or 27918 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 12303113320 its reverse (2331130321), we get a palindrome (14634243641).

The spelling of 12303113320 in words is "twelve billion, three hundred three million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 593 760 1186 2372 2965 4744 5930 11267 11860 22534 23720 27299 45068 54598 56335 90136 109196 112670 136495 218392 225340 272990 450680 518681 545980 1037362 1091960 2074724 2593405 4149448 5186810 10373620 16188307 20747240 32376614 64753228 80941535 129506456 161883070 307577833 323766140 615155666 647532280 1230311332 1537889165 2460622664 3075778330 6151556660 12303113320