Search a number
-
+
2103013313 is a prime number
BaseRepresentation
bin111110101011001…
…0110111111000001
312102120012010220222
41331112112333001
513301332411223
6544402512425
7103054214102
oct17526267701
95376163828
102103013313
1198a107035
124a8365715
1327690459b
1415d4323a9
15c49600c8
hex7d596fc1

2103013313 has 2 divisors, whose sum is σ = 2103013314. Its totient is φ = 2103013312.

The previous prime is 2103013291. The next prime is 2103013327. The reversal of 2103013313 is 3133103012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2090958529 + 12054784 = 45727^2 + 3472^2 .

It is a cyclic number.

It is not a de Polignac number, because 2103013313 - 28 = 2103013057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2103013291 and 2103013300.

It is not a weakly prime, because it can be changed into another prime (2103013333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051506656 + 1051506657.

It is an arithmetic number, because the mean of its divisors is an integer number (1051506657).

Almost surely, 22103013313 is an apocalyptic number.

It is an amenable number.

2103013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2103013313 is an equidigital number, since it uses as much as digits as its factorization.

2103013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 2103013313 is about 45858.6231040575. The cubic root of 2103013313 is about 1281.1913779469.

Adding to 2103013313 its reverse (3133103012), we get a palindrome (5236116325).

It can be divided in two parts, 21030 and 13313, that added together give a palindrome (34343).

The spelling of 2103013313 in words is "two billion, one hundred three million, thirteen thousand, three hundred thirteen".