Search a number
-
+
1003220231213 is a prime number
BaseRepresentation
bin11101001100101001001…
…01011110010000101101
310112220111010212010020202
432212110211132100231
5112414043334344323
62044512323123245
7132323506160144
oct16462445362055
93486433763222
101003220231213
11357510737302
12142520513525
13737ac49bab5
14367addba75b
151b16930dd28
hexe99495e42d

1003220231213 has 2 divisors, whose sum is σ = 1003220231214. Its totient is φ = 1003220231212.

The previous prime is 1003220231201. The next prime is 1003220231249. The reversal of 1003220231213 is 3121320223001.

1003220231213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 980074260169 + 23145971044 = 989987^2 + 152138^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003220231213 - 222 = 1003216036909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003220231263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501610115606 + 501610115607.

It is an arithmetic number, because the mean of its divisors is an integer number (501610115607).

Almost surely, 21003220231213 is an apocalyptic number.

It is an amenable number.

1003220231213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003220231213 is an equidigital number, since it uses as much as digits as its factorization.

1003220231213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1003220231213 its reverse (3121320223001), we get a palindrome (4124540454214).

The spelling of 1003220231213 in words is "one trillion, three billion, two hundred twenty million, two hundred thirty-one thousand, two hundred thirteen".