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12300434322 = 2311225396673
BaseRepresentation
bin10110111010010100…
…11011101110010010
31011202020102210202120
423131022123232102
5200142402344242
65352320555110
7613546652361
oct133512335622
934666383676
1012300434322
115242302400
122473482a96
131210485207
148498a57d8
154bed181ec
hex2dd29bb92

12300434322 has 48 divisors (see below), whose sum is σ = 27055328160. Its totient is φ = 3725377920.

The previous prime is 12300434317. The next prime is 12300434329. The reversal of 12300434322 is 22343400321.

It is a junction number, because it is equal to n+sod(n) for n = 12300434292 and 12300434301.

It is not an unprimeable number, because it can be changed into a prime (12300434329) by changing a digit.

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, 1839978 + ... + 1846650.

It is an arithmetic number, because the mean of its divisors is an integer number (563652670).

Almost surely, 212300434322 is an apocalyptic number.

12300434322 is an abundant number, since it is smaller than the sum of its proper divisors (14754893838).

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

12300434322 is a wasteful number, since it uses less digits than its factorization.

12300434322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9239 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12300434322 its reverse (22343400321), we get a palindrome (34643834643).

The spelling of 12300434322 in words is "twelve billion, three hundred million, four hundred thirty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 2539 5078 6673 7617 13346 15234 20019 27929 40038 55858 73403 83787 146806 167574 220209 307219 440418 614438 807433 921657 1614866 1843314 2422299 4844598 16942747 33885494 50828241 101656482 186370217 372740434 559110651 1118221302 2050072387 4100144774 6150217161 12300434322