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10013145053223 = 313378398270699
BaseRepresentation
bin1001000110110101110111…
…1101000011100000100111
31022110020200021222010220110
42101231131331003200213
52303023410113200343
633143550401104103
72052266032426524
oct221553575034047
938406607863813
1010013145053223
113210607382074
121158746028033
1357830a5b6620
142688d2c5614b
151256e8e98833
hex91b5df43827

10013145053223 has 32 divisors (see below), whose sum is σ = 14784041664000. Its totient is φ = 5988250014336.

The previous prime is 10013145053213. The next prime is 10013145053237. The reversal of 10013145053223 is 32235054131001.

It is not a de Polignac number, because 10013145053223 - 29 = 10013145052711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013145053213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2924673 + ... + 5346026.

It is an arithmetic number, because the mean of its divisors is an integer number (462001302000).

Almost surely, 210013145053223 is an apocalyptic number.

10013145053223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10013145053223 is a deficient number, since it is larger than the sum of its proper divisors (4770896610777).

10013145053223 is a wasteful number, since it uses less digits than its factorization.

10013145053223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271591.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10013145053223 its reverse (32235054131001), we get a palindrome (42248199184224).

The spelling of 10013145053223 in words is "ten trillion, thirteen billion, one hundred forty-five million, fifty-three thousand, two hundred twenty-three".

Divisors: 1 3 13 37 39 111 481 839 1443 2517 10907 31043 32721 93129 403559 1210677 8270699 24812097 107519087 306015863 322557261 918047589 3978206219 6939116461 11934618657 20817349383 90208513993 256747309057 270625541979 770241927171 3337715017741 10013145053223