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12300443232 = 2537111664021
BaseRepresentation
bin10110111010010100…
…11101111001100000
31011202020110020222120
423131022131321200
5200142403140412
65352321104240
7613550020350
oct133512357140
934666406876
1012300443232
115242309070
122473488080
13121048929c
148498a8b60
154bed1ab8c
hex2dd29de60

12300443232 has 96 divisors (see below), whose sum is σ = 40256020224. Its totient is φ = 3194918400.

The previous prime is 12300443189. The next prime is 12300443249. The reversal of 12300443232 is 23234400321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824619 + ... + 839402.

It is an arithmetic number, because the mean of its divisors is an integer number (419333544).

Almost surely, 212300443232 is an apocalyptic number.

12300443232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12300443232 is an abundant number, since it is smaller than the sum of its proper divisors (27955576992).

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

12300443232 is a wasteful number, since it uses less digits than its factorization.

12300443232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664052 (or 1664044 counting only the distinct ones).

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

Adding to 12300443232 its reverse (23234400321), we get a palindrome (35534843553).

The spelling of 12300443232 in words is "twelve billion, three hundred million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 1664021 3328042 4992063 6656084 9984126 11648147 13312168 18304231 19968252 23296294 26624336 34944441 36608462 39936504 46592588 53248672 54912693 69888882 73216924 79873008 93185176 109825386 128129617 139777764 146433848 159746016 186370352 219650772 256259234 279555528 292867696 372740704 384388851 439301544 512518468 559111056 585735392 768777702 878603088 1025036936 1118222112 1537555404 1757206176 2050073872 3075110808 4100147744 6150221616 12300443232