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12301393125 = 35472413889
BaseRepresentation
bin10110111010011100…
…00101110011100101
31011202022020111222210
423131032011303211
5200143124040000
65352353314033
7613561054620
oct133516056345
934668214883
1012301393125
1152428a77aa
122473865919
13121072c758
14849a74db7
154bee57350
hex2dd385ce5

12301393125 has 80 divisors (see below), whose sum is σ = 23526968960. Its totient is φ = 5598720000.

The previous prime is 12301393099. The next prime is 12301393127. The reversal of 12301393125 is 52139310321.

It is not a de Polignac number, because 12301393125 - 213 = 12301384933 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12301393092 and 12301393101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301393127) 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 79 ways as a sum of consecutive naturals, for example, 3161181 + ... + 3165069.

It is an arithmetic number, because the mean of its divisors is an integer number (294087112).

Almost surely, 212301393125 is an apocalyptic number.

12301393125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12301393125 is a deficient number, since it is larger than the sum of its proper divisors (11225575835).

12301393125 is an equidigital number, since it uses as much as digits as its factorization.

12301393125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 12301393125 in words is "twelve billion, three hundred one million, three hundred ninety-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 241 375 525 625 723 875 1205 1687 1875 2625 3615 3889 4375 5061 6025 8435 11667 13125 18075 19445 25305 27223 30125 42175 58335 81669 90375 97225 126525 136115 150625 210875 291675 408345 451875 486125 632625 680575 937249 1054375 1458375 2041725 2430625 2811747 3163125 3402875 4686245 6560743 7291875 10208625 14058735 17014375 19682229 23431225 32803715 51043125 70293675 98411145 117156125 164018575 351468375 492055725 585780625 820092875 1757341875 2460278625 4100464375 12301393125