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10104226012413 = 3213475931143493
BaseRepresentation
bin1001001100001001001011…
…0011010101110011111101
31022202221202212212021021100
42103002102303111303331
52311021423324344123
633253452314123313
72062002066003561
oct223022263256375
938687685767240
1010104226012413
1132461a6192865
121172324a20539
13583a94350910
1426d0935376a1
15127c7a199643
hex93092cd5cfd

10104226012413 has 48 divisors (see below), whose sum is σ = 16324173815040. Its totient is φ = 5982540239232.

The previous prime is 10104226012409. The next prime is 10104226012457. The reversal of 10104226012413 is 31421062240101.

10104226012413 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 22 + 601 + 24 + 13 = 666.

It is not a de Polignac number, because 10104226012413 - 22 = 10104226012409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104226012213) 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 47 ways as a sum of consecutive naturals, for example, 15247306 + ... + 15896187.

It is an arithmetic number, because the mean of its divisors is an integer number (340086954480).

Almost surely, 210104226012413 is an apocalyptic number.

10104226012413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10104226012413 is a deficient number, since it is larger than the sum of its proper divisors (6219947802627).

10104226012413 is a wasteful number, since it uses less digits than its factorization.

10104226012413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31143618 (or 31143615 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10104226012413 its reverse (31421062240101), we get a palindrome (41525288252514).

The spelling of 10104226012413 in words is "ten trillion, one hundred four billion, two hundred twenty-six million, twelve thousand, four hundred thirteen".

Divisors: 1 3 9 13 39 47 59 117 141 177 423 531 611 767 1833 2301 2773 5499 6903 8319 24957 36049 108147 324441 31143493 93430479 280291437 404865409 1214596227 1463744171 1837466087 3643788681 4391232513 5512398261 13173697539 16537194783 19028674223 23887059131 57086022669 71661177393 86360906089 171258068007 214983532179 259082718267 777248154801 1122691779157 3368075337471 10104226012413