Search a number
-
+
333113103133 is a prime number
BaseRepresentation
bin1001101100011110001…
…01101001001100011101
31011211211020001221210021
410312033011221030131
520424203423300013
6413010253512141
733031565441536
oct4661705511435
91154736057707
10333113103133
111192aa731838
1254686aa2651
1325549158b65
14121a0bd568d
1589e976da8d
hex4d8f16931d

333113103133 has 2 divisors, whose sum is σ = 333113103134. Its totient is φ = 333113103132.

The previous prime is 333113103119. The next prime is 333113103173. The reversal of 333113103133 is 331301311333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 320217910884 + 12895192249 = 565878^2 + 113557^2 .

It is an emirp because it is prime and its reverse (331301311333) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 333113103133 - 229 = 332576232221 is a prime.

It is a super-2 number, since 2×3331131031332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333113103098 and 333113103107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (333113103173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166556551566 + 166556551567.

It is an arithmetic number, because the mean of its divisors is an integer number (166556551567).

Almost surely, 2333113103133 is an apocalyptic number.

It is an amenable number.

333113103133 is a deficient number, since it is larger than the sum of its proper divisors (1).

333113103133 is an equidigital number, since it uses as much as digits as its factorization.

333113103133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 333113103133 its reverse (331301311333), we get a palindrome (664414414466).

The spelling of 333113103133 in words is "three hundred thirty-three billion, one hundred thirteen million, one hundred three thousand, one hundred thirty-three".