Search a number
-
+
103003310330017 is a prime number
BaseRepresentation
bin10111011010111001010011…
…101110010001000010100001
3111111201000112210112222211021
4113122321103232101002201
5102000101234421030032
61003023022330045441
730460513023554266
oct2732712356210241
9444630483488737
10103003310330017
112a902505432889
12b676894279881
13456222a733cb6
141b6155b61326d
15bd9544957097
hex5dae53b910a1

103003310330017 has 2 divisors, whose sum is σ = 103003310330018. Its totient is φ = 103003310330016.

The previous prime is 103003310330003. The next prime is 103003310330051. The reversal of 103003310330017 is 710033013300301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70828652032576 + 32174658297441 = 8415976^2 + 5672271^2 .

It is an emirp because it is prime and its reverse (710033013300301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103003310330017 - 211 = 103003310327969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103003310329973 and 103003310330000.

It is not a weakly prime, because it can be changed into another prime (103003310330117) 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, 51501655165008 + 51501655165009.

It is an arithmetic number, because the mean of its divisors is an integer number (51501655165009).

Almost surely, 2103003310330017 is an apocalyptic number.

It is an amenable number.

103003310330017 is a deficient number, since it is larger than the sum of its proper divisors (1).

103003310330017 is an equidigital number, since it uses as much as digits as its factorization.

103003310330017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 25.

Adding to 103003310330017 its reverse (710033013300301), we get a palindrome (813036323630318).

The spelling of 103003310330017 in words is "one hundred three trillion, three billion, three hundred ten million, three hundred thirty thousand, seventeen".