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13006347661 is a prime number
BaseRepresentation
bin11000001110011110…
…10001110110001101
31020120102201220211001
430013033101312031
5203114111111121
65550335100301
7640211062636
oct140717216615
936512656731
1013006347661
11557482055a
12262b971691
1312c37b5008
148b553c88d
15511ca7991
hex3073d1d8d

13006347661 has 2 divisors, whose sum is σ = 13006347662. Its totient is φ = 13006347660.

The previous prime is 13006347617. The next prime is 13006347751. The reversal of 13006347661 is 16674360031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12305686761 + 700660900 = 110931^2 + 26470^2 .

It is a cyclic number.

It is not a de Polignac number, because 13006347661 - 211 = 13006345613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13006347661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13006345661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503173830 + 6503173831.

It is an arithmetic number, because the mean of its divisors is an integer number (6503173831).

Almost surely, 213006347661 is an apocalyptic number.

It is an amenable number.

13006347661 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006347661 is an equidigital number, since it uses as much as digits as its factorization.

13006347661 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 13006347661 in words is "thirteen billion, six million, three hundred forty-seven thousand, six hundred sixty-one".