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13135097 is a prime number
BaseRepresentation
bin110010000110…
…110011111001
3220201022222002
4302012303321
511330310342
61145310345
7216434513
oct62066371
926638862
1013135097
117461658
1244953b5
13294b861
141a5cbb3
151246d32
hexc86cf9

13135097 has 2 divisors, whose sum is σ = 13135098. Its totient is φ = 13135096.

The previous prime is 13135079. The next prime is 13135117. The reversal of 13135097 is 79053131.

Together with previous prime (13135079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10214416 + 2920681 = 3196^2 + 1709^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13135097 is a prime.

It is not a weakly prime, because it can be changed into another prime (13135027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6567548 + 6567549.

It is an arithmetic number, because the mean of its divisors is an integer number (6567549).

Almost surely, 213135097 is an apocalyptic number.

It is an amenable number.

13135097 is a deficient number, since it is larger than the sum of its proper divisors (1).

13135097 is an equidigital number, since it uses as much as digits as its factorization.

13135097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 29.

The square root of 13135097 is about 3624.2374370342. The cubic root of 13135097 is about 235.9451718366.

The spelling of 13135097 in words is "thirteen million, one hundred thirty-five thousand, ninety-seven".