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264234013 is a prime number
BaseRepresentation
bin11111011111111…
…10010000011101
3200102012110220221
433233332100131
51020120442023
642115241341
76355644361
oct1757762035
9612173827
10264234013
11126175a1a
12745a9251
13429874b4
14271432a1
15182e685d
hexfbfe41d

264234013 has 2 divisors, whose sum is σ = 264234014. Its totient is φ = 264234012.

The previous prime is 264234001. The next prime is 264234029. The reversal of 264234013 is 310432462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244547044 + 19686969 = 15638^2 + 4437^2 .

It is a cyclic number.

It is not a de Polignac number, because 264234013 - 217 = 264102941 is a prime.

It is a super-2 number, since 2×2642340132 = 139639227252168338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264234073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132117006 + 132117007.

It is an arithmetic number, because the mean of its divisors is an integer number (132117007).

Almost surely, 2264234013 is an apocalyptic number.

It is an amenable number.

264234013 is a deficient number, since it is larger than the sum of its proper divisors (1).

264234013 is an equidigital number, since it uses as much as digits as its factorization.

264234013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 264234013 is about 16255.2764664278. The cubic root of 264234013 is about 641.6963566705.

Adding to 264234013 its reverse (310432462), we get a palindrome (574666475).

The spelling of 264234013 in words is "two hundred sixty-four million, two hundred thirty-four thousand, thirteen".