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13110044198753 is a prime number
BaseRepresentation
bin1011111011000110101110…
…0001110000011101100001
31201102022022112002000221102
42332301223201300131201
53204243332303330003
643514400545404145
72522112055015235
oct276615341603541
951368275060842
1013110044198753
1141a4a36198aa7
121578993339655
1374136c38c018
1433475b0325c5
1517b0505b0588
hexbec6b870761

13110044198753 has 2 divisors, whose sum is σ = 13110044198754. Its totient is φ = 13110044198752.

The previous prime is 13110044198681. The next prime is 13110044198761. The reversal of 13110044198753 is 35789144001131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11907144152929 + 1202900045824 = 3450673^2 + 1096768^2 .

It is an emirp because it is prime and its reverse (35789144001131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13110044198753 - 212 = 13110044194657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13110044198698 and 13110044198707.

It is not a weakly prime, because it can be changed into another prime (13110044198353) 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 as a sum of consecutive naturals, namely, 6555022099376 + 6555022099377.

It is an arithmetic number, because the mean of its divisors is an integer number (6555022099377).

Almost surely, 213110044198753 is an apocalyptic number.

It is an amenable number.

13110044198753 is a deficient number, since it is larger than the sum of its proper divisors (1).

13110044198753 is an equidigital number, since it uses as much as digits as its factorization.

13110044198753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 47.

Adding to 13110044198753 its reverse (35789144001131), we get a palindrome (48899188199884).

The spelling of 13110044198753 in words is "thirteen trillion, one hundred ten billion, forty-four million, one hundred ninety-eight thousand, seven hundred fifty-three".