Search a number
-
+
321111211013 is a prime number
BaseRepresentation
bin1001010110000111011…
…10000011110000000101
31010200211210101122221022
410223003232003300011
520230113432223023
6403303315400525
732125302154445
oct4530356036005
91120753348838
10321111211013
111142009a862a
12522975b3145
13243857b1048
1411782c44125
158545c777c8
hex4ac3b83c05

321111211013 has 2 divisors, whose sum is σ = 321111211014. Its totient is φ = 321111211012.

The previous prime is 321111210943. The next prime is 321111211087. The reversal of 321111211013 is 310112111123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251263592644 + 69847618369 = 501262^2 + 264287^2 .

It is a cyclic number.

It is not a de Polignac number, because 321111211013 - 212 = 321111206917 is a prime.

It is a super-2 number, since 2×3211112110132 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321111210982 and 321111211000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (321111211093) 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, 160555605506 + 160555605507.

It is an arithmetic number, because the mean of its divisors is an integer number (160555605507).

Almost surely, 2321111211013 is an apocalyptic number.

It is an amenable number.

321111211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

321111211013 is an equidigital number, since it uses as much as digits as its factorization.

321111211013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 321111211013 its reverse (310112111123), we get a palindrome (631223322136).

The spelling of 321111211013 in words is "three hundred twenty-one billion, one hundred eleven million, two hundred eleven thousand, thirteen".