Search a number
-
+
1302310013 is a prime number
BaseRepresentation
bin100110110011111…
…1010110001111101
310100202112012111012
41031213322301331
510131342410023
6333121005005
744162311124
oct11547726175
93322465435
101302310013
11609135874
12304183765
13179a66554
14c4d62abb
15794e9978
hex4d9fac7d

1302310013 has 2 divisors, whose sum is σ = 1302310014. Its totient is φ = 1302310012.

The previous prime is 1302309949. The next prime is 1302310099. The reversal of 1302310013 is 3100132031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1288307449 + 14002564 = 35893^2 + 3742^2 .

It is an emirp because it is prime and its reverse (3100132031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1302310013 - 26 = 1302309949 is a prime.

It is a super-2 number, since 2×13023100132 = 3392022739920120338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1302310013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1302318013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 651155006 + 651155007.

It is an arithmetic number, because the mean of its divisors is an integer number (651155007).

Almost surely, 21302310013 is an apocalyptic number.

It is an amenable number.

1302310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1302310013 is an equidigital number, since it uses as much as digits as its factorization.

1302310013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1302310013 is about 36087.5326532585. The cubic root of 1302310013 is about 1092.0389445807.

Adding to 1302310013 its reverse (3100132031), we get a palindrome (4402442044).

The spelling of 1302310013 in words is "one billion, three hundred two million, three hundred ten thousand, thirteen".