Search a number
-
+
213323323201 is a prime number
BaseRepresentation
bin1100011010101100001…
…1111001011101000001
3202101121212110122000021
43012223003321131001
511443341232320301
6241555511053441
721261231220612
oct3065303713501
9671555418007
10213323323201
118251950010a
1235415671281
1317168696881
14a479771c09
155837e908a1
hex31ab0f9741

213323323201 has 2 divisors, whose sum is σ = 213323323202. Its totient is φ = 213323323200.

The previous prime is 213323323193. The next prime is 213323323219. The reversal of 213323323201 is 102323323312.

213323323201 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., 174009951025 + 39313372176 = 417145^2 + 198276^2 .

It is a cyclic number.

It is not a de Polignac number, because 213323323201 - 23 = 213323323193 is a prime.

It is not a weakly prime, because it can be changed into another prime (213323323261) 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, 106661661600 + 106661661601.

It is an arithmetic number, because the mean of its divisors is an integer number (106661661601).

Almost surely, 2213323323201 is an apocalyptic number.

It is an amenable number.

213323323201 is a deficient number, since it is larger than the sum of its proper divisors (1).

213323323201 is an equidigital number, since it uses as much as digits as its factorization.

213323323201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 213323323201 its reverse (102323323312), we get a palindrome (315646646513).

The spelling of 213323323201 in words is "two hundred thirteen billion, three hundred twenty-three million, three hundred twenty-three thousand, two hundred one".