Search a number
-
+
13230000101 is a prime number
BaseRepresentation
bin11000101001001000…
…11100011111100101
31021011000120122021202
430110210130133211
5204043340000401
610024444452245
7645565100603
oct142444343745
937130518252
1013230000101
115679a9898a
12269284a085
13132ac31036
148d711a873
1552673506b
hex31491c7e5

13230000101 has 2 divisors, whose sum is σ = 13230000102. Its totient is φ = 13230000100.

The previous prime is 13230000031. The next prime is 13230000139. The reversal of 13230000101 is 10100003231.

13230000101 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., 10564756225 + 2665243876 = 102785^2 + 51626^2 .

It is an emirp because it is prime and its reverse (10100003231) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13230000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13230000701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6615000050 + 6615000051.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000051).

Almost surely, 213230000101 is an apocalyptic number.

It is an amenable number.

13230000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13230000101 is an equidigital number, since it uses as much as digits as its factorization.

13230000101 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.

Adding to 13230000101 its reverse (10100003231), we get a palindrome (23330003332).

The spelling of 13230000101 in words is "thirteen billion, two hundred thirty million, one hundred one", and thus it is an aban number.