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103333221133 is a prime number
BaseRepresentation
bin110000000111100100…
…0111101001100001101
3100212201110200112001021
41200033020331030031
53143111301034013
6115245353314141
710315456613242
oct1401710751415
9325643615037
10103333221133
113a906a0050a
121803a105951
13998a253c3c
145003a075c9
152a4bba0a8d
hex180f23d30d

103333221133 has 2 divisors, whose sum is σ = 103333221134. Its totient is φ = 103333221132.

The previous prime is 103333221119. The next prime is 103333221221. The reversal of 103333221133 is 331122333301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96688036809 + 6645184324 = 310947^2 + 81518^2 .

It is a cyclic number.

It is not a de Polignac number, because 103333221133 - 217 = 103333090061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103333221098 and 103333221107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103333221113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51666610566 + 51666610567.

It is an arithmetic number, because the mean of its divisors is an integer number (51666610567).

Almost surely, 2103333221133 is an apocalyptic number.

It is an amenable number.

103333221133 is a deficient number, since it is larger than the sum of its proper divisors (1).

103333221133 is an equidigital number, since it uses as much as digits as its factorization.

103333221133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 103333221133 its reverse (331122333301), we get a palindrome (434455554434).

The spelling of 103333221133 in words is "one hundred three billion, three hundred thirty-three million, two hundred twenty-one thousand, one hundred thirty-three".