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311221111 is a prime number
BaseRepresentation
bin10010100011001…
…101101101110111
3210200121200002211
4102203031231313
51114133033421
650514314251
710466223115
oct2243155567
9720550084
10311221111
1114a749033
1288288987
134c629406
142d494ab5
151c4c89e1
hex128cdb77

311221111 has 2 divisors, whose sum is σ = 311221112. Its totient is φ = 311221110.

The previous prime is 311221109. The next prime is 311221123. The reversal of 311221111 is 111122113.

Adding to 311221111 its reverse (111122113), we get a palindrome (422343224).

It is a happy number.

It is a m-pointer prime, because the next prime (311221123) can be obtained adding 311221111 to its product of digits (12).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 311221111 - 21 = 311221109 is a prime.

It is a super-3 number, since 3×3112211113 (a number of 26 digits) contains 333 as substring.

Together with 311221109, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 311221091 and 311221100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311221181) 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, 155610555 + 155610556.

It is an arithmetic number, because the mean of its divisors is an integer number (155610556).

Almost surely, 2311221111 is an apocalyptic number.

311221111 is a deficient number, since it is larger than the sum of its proper divisors (1).

311221111 is an equidigital number, since it uses as much as digits as its factorization.

311221111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12, while the sum is 13.

The square root of 311221111 is about 17641.4600019386. The cubic root of 311221111 is about 677.6774214328.

The spelling of 311221111 in words is "three hundred eleven million, two hundred twenty-one thousand, one hundred eleven".