Search a number
-
+
212213413331 is a prime number
BaseRepresentation
bin1100010110100011100…
…1111011010111010011
3202021202111222100220022
43011220321323113103
511434103113211311
6241253421534055
721221563152023
oct3055071732723
9667674870808
10212213413331
1181aa9a37427
1235165a1432b
131701c75637a
14a3b21b3a83
1557c07ed5db
hex3168e7b5d3

212213413331 has 2 divisors, whose sum is σ = 212213413332. Its totient is φ = 212213413330.

The previous prime is 212213413297. The next prime is 212213413333. The reversal of 212213413331 is 133314312212.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 212213413331 - 218 = 212213151187 is a prime.

It is a super-2 number, since 2×2122134133312 (a number of 23 digits) contains 22 as substring.

Together with 212213413333, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212213413331.

It is not a weakly prime, because it can be changed into another prime (212213413333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106106706665 + 106106706666.

It is an arithmetic number, because the mean of its divisors is an integer number (106106706666).

Almost surely, 2212213413331 is an apocalyptic number.

212213413331 is a deficient number, since it is larger than the sum of its proper divisors (1).

212213413331 is an equidigital number, since it uses as much as digits as its factorization.

212213413331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 26.

Adding to 212213413331 its reverse (133314312212), we get a palindrome (345527725543).

The spelling of 212213413331 in words is "two hundred twelve billion, two hundred thirteen million, four hundred thirteen thousand, three hundred thirty-one".