Search a number
-
+
213210210313 is a prime number
BaseRepresentation
bin1100011010010001010…
…0011010000000001001
3202101022222121220022001
43012210110122000021
511443123303212223
6241540350431001
721255355612462
oct3064424320011
9671288556261
10213210210313
1182470672791
12353a3802461
131714b111679
14a468729d69
15582d09a9ad
hex31a451a009

213210210313 has 2 divisors, whose sum is σ = 213210210314. Its totient is φ = 213210210312.

The previous prime is 213210210307. The next prime is 213210210347. The reversal of 213210210313 is 313012012312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161420739984 + 51789470329 = 401772^2 + 227573^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213210210313 is a prime.

It is not a weakly prime, because it can be changed into another prime (213210210113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106605105156 + 106605105157.

It is an arithmetic number, because the mean of its divisors is an integer number (106605105157).

Almost surely, 2213210210313 is an apocalyptic number.

It is an amenable number.

213210210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213210210313 is an equidigital number, since it uses as much as digits as its factorization.

213210210313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213210210313 its reverse (313012012312), we get a palindrome (526222222625).

The spelling of 213210210313 in words is "two hundred thirteen billion, two hundred ten million, two hundred ten thousand, three hundred thirteen".