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13105104919 is a prime number
BaseRepresentation
bin11000011010010000…
…00000100000010111
31020211022120022022021
430031020000200113
5203314401324134
610004223514011
7642520360654
oct141510004027
936738508267
1013105104919
115615543325
122658a58907
13130b0b1c6a
148c46c8c2b
1551a7b40b4
hex30d200817

13105104919 has 2 divisors, whose sum is σ = 13105104920. Its totient is φ = 13105104918.

The previous prime is 13105104917. The next prime is 13105104923. The reversal of 13105104919 is 91940150131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13105104919 - 21 = 13105104917 is a prime.

It is a super-2 number, since 2×131051049192 (a number of 21 digits) contains 22 as substring.

Together with 13105104917, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13105104917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552552459 + 6552552460.

It is an arithmetic number, because the mean of its divisors is an integer number (6552552460).

Almost surely, 213105104919 is an apocalyptic number.

13105104919 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105104919 is an equidigital number, since it uses as much as digits as its factorization.

13105104919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 34.

The spelling of 13105104919 in words is "thirteen billion, one hundred five million, one hundred four thousand, nine hundred nineteen".