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13801306177 is a prime number
BaseRepresentation
bin11001101101001111…
…10011100001000001
31022121211120222220001
430312213303201001
5211231113244202
610201253520001
7666003111151
oct146647634101
938554528801
1013801306177
11594252866a
122812043001
1313bc3c1279
1494cd54761
1555b985d87
hex3369f3841

13801306177 has 2 divisors, whose sum is σ = 13801306178. Its totient is φ = 13801306176.

The previous prime is 13801306171. The next prime is 13801306201. The reversal of 13801306177 is 77160310831.

It is a happy number.

13801306177 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., 13634999361 + 166306816 = 116769^2 + 12896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13801306177 is a prime.

It is not a weakly prime, because it can be changed into another prime (13801306171) 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, 6900653088 + 6900653089.

It is an arithmetic number, because the mean of its divisors is an integer number (6900653089).

Almost surely, 213801306177 is an apocalyptic number.

It is an amenable number.

13801306177 is a deficient number, since it is larger than the sum of its proper divisors (1).

13801306177 is an equidigital number, since it uses as much as digits as its factorization.

13801306177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 13801306177 in words is "thirteen billion, eight hundred one million, three hundred six thousand, one hundred seventy-seven".