Search a number
-
+
1003100213 is a prime number
BaseRepresentation
bin111011110010100…
…001100000110101
32120220111202210202
4323302201200311
54023243201323
6243311530245
733600132263
oct7362414065
92526452722
101003100213
11475251045
1223bb29985
1312ca8432b
1497317433
155d0e4d28
hex3bca1835

1003100213 has 2 divisors, whose sum is σ = 1003100214. Its totient is φ = 1003100212.

The previous prime is 1003100177. The next prime is 1003100239. The reversal of 1003100213 is 3120013001.

1003100213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 944148529 + 58951684 = 30727^2 + 7678^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003100213 - 28 = 1003099957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003100194 and 1003100203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003100243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501550106 + 501550107.

It is an arithmetic number, because the mean of its divisors is an integer number (501550107).

Almost surely, 21003100213 is an apocalyptic number.

It is an amenable number.

1003100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003100213 is an equidigital number, since it uses as much as digits as its factorization.

1003100213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1003100213 is about 31671.7573399393. The cubic root of 1003100213 is about 1001.0323382444.

Adding to 1003100213 its reverse (3120013001), we get a palindrome (4123113214).

The spelling of 1003100213 in words is "one billion, three million, one hundred thousand, two hundred thirteen".