Search a number
-
+
133431310267 is a prime number
BaseRepresentation
bin111110001000100100…
…0000011011110111011
3110202102001112212102021
41330101020003132323
54141231403412032
6141144132015311
712432360265243
oct1742110033673
9422361485367
10133431310267
1151651550342
1221a39a61537
13c775a40b38
14665b0a6b23
15370e203097
hex1f112037bb

133431310267 has 2 divisors, whose sum is σ = 133431310268. Its totient is φ = 133431310266.

The previous prime is 133431310219. The next prime is 133431310277. The reversal of 133431310267 is 762013134331.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133431310267 is a prime.

It is a super-2 number, since 2×1334313102672 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133431310277) 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, 66715655133 + 66715655134.

It is an arithmetic number, because the mean of its divisors is an integer number (66715655134).

Almost surely, 2133431310267 is an apocalyptic number.

133431310267 is a deficient number, since it is larger than the sum of its proper divisors (1).

133431310267 is an equidigital number, since it uses as much as digits as its factorization.

133431310267 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 34.

Adding to 133431310267 its reverse (762013134331), we get a palindrome (895444444598).

The spelling of 133431310267 in words is "one hundred thirty-three billion, four hundred thirty-one million, three hundred ten thousand, two hundred sixty-seven".