Search a number
-
+
212313314201 is a prime number
BaseRepresentation
bin1100010110111011011…
…1000001001110011001
3202022000110221212010112
43011232313001032121
511434304202023301
6241311351054105
721224215252142
oct3055667011631
9668013855115
10212313314201
118205037042a
1235193371335
1317037363a01
14a3c157aac9
1557c94839bb
hex316edc1399

212313314201 has 2 divisors, whose sum is σ = 212313314202. Its totient is φ = 212313314200.

The previous prime is 212313314173. The next prime is 212313314209. The reversal of 212313314201 is 102413313212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212262918400 + 50395801 = 460720^2 + 7099^2 .

It is a cyclic number.

It is not a de Polignac number, because 212313314201 - 214 = 212313297817 is a prime.

It is not a weakly prime, because it can be changed into another prime (212313314209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106156657100 + 106156657101.

It is an arithmetic number, because the mean of its divisors is an integer number (106156657101).

Almost surely, 2212313314201 is an apocalyptic number.

It is an amenable number.

212313314201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212313314201 is an equidigital number, since it uses as much as digits as its factorization.

212313314201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 212313314201 its reverse (102413313212), we get a palindrome (314726627413).

The spelling of 212313314201 in words is "two hundred twelve billion, three hundred thirteen million, three hundred fourteen thousand, two hundred one".