Search a number
-
+
103004413133 is a prime number
BaseRepresentation
bin101111111101110001…
…0101001110011001101
3100211212112222100021012
41133323202221303031
53141423112210013
6115153010015005
710304355031316
oct1377342516315
9324775870235
10103004413133
113a758340166
1217b67b77465
1399370aa8ab
144db209560d
152a2cda11a8
hex17fb8a9ccd

103004413133 has 2 divisors, whose sum is σ = 103004413134. Its totient is φ = 103004413132.

The previous prime is 103004413121. The next prime is 103004413147. The reversal of 103004413133 is 331314400301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56642572009 + 46361841124 = 237997^2 + 215318^2 .

It is a cyclic number.

It is not a de Polignac number, because 103004413133 - 210 = 103004412109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103004413099 and 103004413108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103004413163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51502206566 + 51502206567.

It is an arithmetic number, because the mean of its divisors is an integer number (51502206567).

Almost surely, 2103004413133 is an apocalyptic number.

It is an amenable number.

103004413133 is a deficient number, since it is larger than the sum of its proper divisors (1).

103004413133 is an equidigital number, since it uses as much as digits as its factorization.

103004413133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 103004413133 its reverse (331314400301), we get a palindrome (434318813434).

The spelling of 103004413133 in words is "one hundred three billion, four million, four hundred thirteen thousand, one hundred thirty-three".