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13106012581 is a prime number
BaseRepresentation
bin11000011010010110…
…11110000110100101
31020211101021102101101
430031023132012211
5203320114400311
610004255200101
7642531161134
oct141513360645
936741242341
1013106012581
115616003262
122659216031
13130b33c13c
148c488391b
1551a8e2ec1
hex30d2de1a5

13106012581 has 2 divisors, whose sum is σ = 13106012582. Its totient is φ = 13106012580.

The previous prime is 13106012567. The next prime is 13106012627. The reversal of 13106012581 is 18521060131.

13106012581 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., 10099245025 + 3006767556 = 100495^2 + 54834^2 .

It is a cyclic number.

It is not a de Polignac number, because 13106012581 - 227 = 12971794853 is a prime.

It is a super-2 number, since 2×131060125812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13106012501) 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, 6553006290 + 6553006291.

It is an arithmetic number, because the mean of its divisors is an integer number (6553006291).

Almost surely, 213106012581 is an apocalyptic number.

It is an amenable number.

13106012581 is a deficient number, since it is larger than the sum of its proper divisors (1).

13106012581 is an equidigital number, since it uses as much as digits as its factorization.

13106012581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

It can be divided in two parts, 131060 and 12581, that added together give a square (143641 = 3792).

The spelling of 13106012581 in words is "thirteen billion, one hundred six million, twelve thousand, five hundred eighty-one".