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264300097 is a prime number
BaseRepresentation
bin11111100000011…
…10011001000001
3200102022211120111
433300032121001
51020130100342
642120511321
76356341135
oct1760163101
9612284514
10264300097
11126210636
127461b541
13429ab5b9
142715d3c5
151830b217
hexfc0e641

264300097 has 2 divisors, whose sum is σ = 264300098. Its totient is φ = 264300096.

The previous prime is 264300083. The next prime is 264300149. The reversal of 264300097 is 790003462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137264656 + 127035441 = 11716^2 + 11271^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264300097 is a prime.

It is equal to p14417752 and since 264300097 and 14417752 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (264300397) 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, 132150048 + 132150049.

It is an arithmetic number, because the mean of its divisors is an integer number (132150049).

Almost surely, 2264300097 is an apocalyptic number.

It is an amenable number.

264300097 is a deficient number, since it is larger than the sum of its proper divisors (1).

264300097 is an equidigital number, since it uses as much as digits as its factorization.

264300097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 264300097 is about 16257.3090331703. The cubic root of 264300097 is about 641.7498475476.

The spelling of 264300097 in words is "two hundred sixty-four million, three hundred thousand, ninety-seven".