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212731333 is a prime number
BaseRepresentation
bin11001010111000…
…00010111000101
3112211021212112021
430223200113011
5413424400313
633035323141
75162120653
oct1453402705
9484255467
10212731333
11aa099221
125b2b04b1
13350c4139
1420377dd3
1513a2178d
hexcae05c5

212731333 has 2 divisors, whose sum is σ = 212731334. Its totient is φ = 212731332.

The previous prime is 212731313. The next prime is 212731349. The reversal of 212731333 is 333137212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143209089 + 69522244 = 11967^2 + 8338^2 .

It is a cyclic number.

It is not a de Polignac number, because 212731333 - 213 = 212723141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212731298 and 212731307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212731303) 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, 106365666 + 106365667.

It is an arithmetic number, because the mean of its divisors is an integer number (106365667).

Almost surely, 2212731333 is an apocalyptic number.

It is an amenable number.

212731333 is a deficient number, since it is larger than the sum of its proper divisors (1).

212731333 is an equidigital number, since it uses as much as digits as its factorization.

212731333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 25.

The square root of 212731333 is about 14585.3122352591. The cubic root of 212731333 is about 596.9580602153.

Adding to 212731333 its reverse (333137212), we get a palindrome (545868545).

The spelling of 212731333 in words is "two hundred twelve million, seven hundred thirty-one thousand, three hundred thirty-three".