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1324251025104 = 2437331103111549
BaseRepresentation
bin10011010001010011100…
…000110000111011010000
311200121010022221011122010
4103101103200300323100
5133144031230300404
62452204051142520
7164450113663440
oct23212340607320
94617108834563
101324251025104
114706801a92a7
12194794ba4a40
1397b51404937
144814628a120
15246a7e9e189
hex13453830ed0

1324251025104 has 160 divisors (see below), whose sum is σ = 3925648742400. Its totient is φ = 376815859200.

The previous prime is 1324251025067. The next prime is 1324251025127. The reversal of 1324251025104 is 4015201524231.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 114657922 + ... + 114669470.

It is an arithmetic number, because the mean of its divisors is an integer number (24535304640).

Almost surely, 21324251025104 is an apocalyptic number.

1324251025104 is a gapful number since it is divisible by the number (14) 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 1324251025104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962824371200).

1324251025104 is an abundant number, since it is smaller than the sum of its proper divisors (2601397717296).

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

1324251025104 is a wasteful number, since it uses less digits than its factorization.

1324251025104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12929 (or 12923 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 1324251025104 its reverse (4015201524231), we get a palindrome (5339452549335).

The spelling of 1324251025104 in words is "one trillion, three hundred twenty-four billion, two hundred fifty-one million, twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 331 336 662 993 1031 1324 1986 2062 2317 2648 3093 3972 4124 4634 5296 6186 6951 7217 7944 8248 9268 11549 12372 13902 14434 15888 16496 18536 21651 23098 24744 27804 28868 34647 37072 43302 46196 49488 55608 57736 69294 80843 86604 92392 111216 115472 138588 161686 173208 184784 242529 277176 323372 341261 346416 485058 554352 646744 682522 970116 1023783 1293488 1365044 1940232 2047566 2388827 2730088 3822719 3880464 4095132 4777654 5460176 7166481 7645438 8190264 9555308 11468157 11907019 14332962 15290876 16380528 19110616 22936314 23814038 26759033 28665924 30581752 35721057 38221232 45872628 47628076 53518066 57331848 61163504 71442114 80277099 83349133 91745256 95256152 107036132 114663696 142884228 160554198 166698266 183490512 190512304 214072264 250047399 285768456 321108396 333396532 428144528 500094798 571536912 642216792 666793064 1000189596 1284433584 1333586128 2000379192 3941223289 4000758384 7882446578 11823669867 15764893156 23647339734 27588563023 31529786312 47294679468 55177126046 63059572624 82765689069 94589358936 110354252092 165531378138 189178717872 220708504184 331062756276 441417008368 662125512552 1324251025104