Search a number
-
+
213203111113 is a prime number
BaseRepresentation
bin1100011010001111100…
…1010100110011001001
3202101022111021020000201
43012203321110303021
511443114444023423
6241535534332201
721255241354216
oct3064371246311
9671274236021
10213203111113
1182467663a83
12353a135a061
13171497c7265
14a4677dcb0d
15582c6472ad
hex31a3e54cc9

213203111113 has 2 divisors, whose sum is σ = 213203111114. Its totient is φ = 213203111112.

The previous prime is 213203111101. The next prime is 213203111119. The reversal of 213203111113 is 311111302312.

213203111113 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., 208034507664 + 5168603449 = 456108^2 + 71893^2 .

It is a cyclic number.

It is not a de Polignac number, because 213203111113 - 229 = 212666240201 is a prime.

It is not a weakly prime, because it can be changed into another prime (213203111119) 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, 106601555556 + 106601555557.

It is an arithmetic number, because the mean of its divisors is an integer number (106601555557).

Almost surely, 2213203111113 is an apocalyptic number.

It is an amenable number.

213203111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

213203111113 is an equidigital number, since it uses as much as digits as its factorization.

213203111113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 213203111113 its reverse (311111302312), we get a palindrome (524314413425).

The spelling of 213203111113 in words is "two hundred thirteen billion, two hundred three million, one hundred eleven thousand, one hundred thirteen".