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103003300313 is a prime number
BaseRepresentation
bin101111111101101111…
…0011010000111011001
3100211212110212210202122
41133323132122013121
53141422321102223
6115152530111025
710304342415044
oct1377336320731
9324773783678
10103003300313
113a757750081
1217b6771b475
139936aab214
144db1c85c5b
152a2cc315c8
hex17fb79a1d9

103003300313 has 2 divisors, whose sum is σ = 103003300314. Its totient is φ = 103003300312.

The previous prime is 103003300261. The next prime is 103003300331. The reversal of 103003300313 is 313003300301.

Together with next prime (103003300331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89044350409 + 13958949904 = 298403^2 + 118148^2 .

It is an emirp because it is prime and its reverse (313003300301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103003300313 - 212 = 103003296217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103003300291 and 103003300300.

It is not a weakly prime, because it can be changed into another prime (103003300333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51501650156 + 51501650157.

It is an arithmetic number, because the mean of its divisors is an integer number (51501650157).

Almost surely, 2103003300313 is an apocalyptic number.

It is an amenable number.

103003300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103003300313 is an equidigital number, since it uses as much as digits as its factorization.

103003300313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 103003300313 its reverse (313003300301), we get a palindrome (416006600614).

The spelling of 103003300313 in words is "one hundred three billion, three million, three hundred thousand, three hundred thirteen".