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13127296093 is a prime number
BaseRepresentation
bin11000011100111001…
…01010010001011101
31020212212022201212121
430032130222101131
5203341041433333
610010335302541
7643210114162
oct141634522135
936785281777
1013127296093
11562701a93a
12266437aa51
131312881832
148c7624069
1551c6e932d
hex30e72a45d

13127296093 has 2 divisors, whose sum is σ = 13127296094. Its totient is φ = 13127296092.

The previous prime is 13127296087. The next prime is 13127296123. The reversal of 13127296093 is 39069272131.

13127296093 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., 12964555044 + 162741049 = 113862^2 + 12757^2 .

It is a cyclic number.

It is not a de Polignac number, because 13127296093 - 217 = 13127165021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13127296493) 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, 6563648046 + 6563648047.

It is an arithmetic number, because the mean of its divisors is an integer number (6563648047).

Almost surely, 213127296093 is an apocalyptic number.

It is an amenable number.

13127296093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13127296093 is an equidigital number, since it uses as much as digits as its factorization.

13127296093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 43.

The spelling of 13127296093 in words is "thirteen billion, one hundred twenty-seven million, two hundred ninety-six thousand, ninety-three".