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13000011029 is a prime number
BaseRepresentation
bin11000001101101110…
…00110110100010101
31020112222210222120222
430012313012310111
5203111000323104
65545551204125
7640103161535
oct140667066425
936488728528
1013000011029
115571192775
122629816645
1312c23a6a25
148b476d4c5
155114551be
hex306dc6d15

13000011029 has 2 divisors, whose sum is σ = 13000011030. Its totient is φ = 13000011028.

The previous prime is 13000011019. The next prime is 13000011041. The reversal of 13000011029 is 92011000031.

It is a happy number.

13000011029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6715802500 + 6284208529 = 81950^2 + 79273^2 .

It is an emirp because it is prime and its reverse (92011000031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13000011029 - 28 = 13000010773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13000010998 and 13000011016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000011019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500005514 + 6500005515.

It is an arithmetic number, because the mean of its divisors is an integer number (6500005515).

Almost surely, 213000011029 is an apocalyptic number.

It is an amenable number.

13000011029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000011029 is an equidigital number, since it uses as much as digits as its factorization.

13000011029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The spelling of 13000011029 in words is "thirteen billion, eleven thousand, twenty-nine".