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13016861141 is a prime number
BaseRepresentation
bin11000001111101110…
…11000100111010101
31020121011112001121012
430013313120213111
5203124304024031
65551352302005
7640366331324
oct140767304725
936534461535
1013016861141
11557a751489
1226333a1905
1312c5a264cb
148b6ab80bb
15512b82b2b
hex307dd89d5

13016861141 has 2 divisors, whose sum is σ = 13016861142. Its totient is φ = 13016861140.

The previous prime is 13016861129. The next prime is 13016861153. The reversal of 13016861141 is 14116861031.

It is a balanced prime because it is at equal distance from previous prime (13016861129) and next prime (13016861153).

It can be written as a sum of positive squares in only one way, i.e., 12790479025 + 226382116 = 113095^2 + 15046^2 .

It is a cyclic number.

It is not a de Polignac number, because 13016861141 - 218 = 13016598997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13016861098 and 13016861107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13016861111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6508430570 + 6508430571.

It is an arithmetic number, because the mean of its divisors is an integer number (6508430571).

Almost surely, 213016861141 is an apocalyptic number.

It is an amenable number.

13016861141 is a deficient number, since it is larger than the sum of its proper divisors (1).

13016861141 is an equidigital number, since it uses as much as digits as its factorization.

13016861141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 13016861141 in words is "thirteen billion, sixteen million, eight hundred sixty-one thousand, one hundred forty-one".