Search a number
-
+
212731349 is a prime number
BaseRepresentation
bin11001010111000…
…00010111010101
3112211021212112212
430223200113111
5413424400344
633035323205
75162121005
oct1453402725
9484255485
10212731349
11aa099236
125b2b0505
13350c414c
1420378005
1513a2179e
hexcae05d5

212731349 has 2 divisors, whose sum is σ = 212731350. Its totient is φ = 212731348.

The previous prime is 212731333. The next prime is 212731361. The reversal of 212731349 is 943137212.

212731349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197599249 + 15132100 = 14057^2 + 3890^2 .

It is a cyclic number.

It is not a de Polignac number, because 212731349 - 24 = 212731333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212731399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106365674 + 106365675.

It is an arithmetic number, because the mean of its divisors is an integer number (106365675).

Almost surely, 2212731349 is an apocalyptic number.

It is an amenable number.

212731349 is a deficient number, since it is larger than the sum of its proper divisors (1).

212731349 is an equidigital number, since it uses as much as digits as its factorization.

212731349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 32.

The square root of 212731349 is about 14585.3127837561. The cubic root of 212731349 is about 596.9580751815.

It can be divided in two parts, 21273 and 1349, that added together give a palindrome (22622).

The spelling of 212731349 in words is "two hundred twelve million, seven hundred thirty-one thousand, three hundred forty-nine".