Search a number
-
+
311221213 is a prime number
BaseRepresentation
bin10010100011001…
…101101111011101
3210200121200020121
4102203031233131
51114133034323
650514314541
710466223322
oct2243155735
9720550217
10311221213
1114a749116
1288288a51
134c629484
142d494b49
151c4c8a5d
hex128cdbdd

311221213 has 2 divisors, whose sum is σ = 311221214. Its totient is φ = 311221212.

The previous prime is 311221181. The next prime is 311221223. The reversal of 311221213 is 312122113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308458969 + 2762244 = 17563^2 + 1662^2 .

It is a cyclic number.

It is not a de Polignac number, because 311221213 - 25 = 311221181 is a prime.

It is a super-3 number, since 3×3112212133 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311221223) 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, 155610606 + 155610607.

It is an arithmetic number, because the mean of its divisors is an integer number (155610607).

Almost surely, 2311221213 is an apocalyptic number.

It is an amenable number.

311221213 is a deficient number, since it is larger than the sum of its proper divisors (1).

311221213 is an equidigital number, since it uses as much as digits as its factorization.

311221213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 16.

The square root of 311221213 is about 17641.4628928556. The cubic root of 311221213 is about 677.6774954671.

Adding to 311221213 its reverse (312122113), we get a palindrome (623343326).

The spelling of 311221213 in words is "three hundred eleven million, two hundred twenty-one thousand, two hundred thirteen".