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213313141 is a prime number
BaseRepresentation
bin11001011011011…
…10011001110101
3112212101102121201
430231232121311
5414102010031
633100012501
75200063126
oct1455563165
9485342551
10213313141
11aa456358
125b531131
1335268bc2
142048a04d
1513ad8d61
hexcb6e675

213313141 has 2 divisors, whose sum is σ = 213313142. Its totient is φ = 213313140.

The previous prime is 213313123. The next prime is 213313147. The reversal of 213313141 is 141313312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152004241 + 61308900 = 12329^2 + 7830^2 .

It is a cyclic number.

It is not a de Polignac number, because 213313141 - 217 = 213182069 is a prime.

It is a super-2 number, since 2×2133131412 = 91004992246571762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213313147) 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, 106656570 + 106656571.

It is an arithmetic number, because the mean of its divisors is an integer number (106656571).

Almost surely, 2213313141 is an apocalyptic number.

It is an amenable number.

213313141 is a deficient number, since it is larger than the sum of its proper divisors (1).

213313141 is an equidigital number, since it uses as much as digits as its factorization.

213313141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 213313141 is about 14605.2436131685. The cubic root of 213313141 is about 597.5017801923.

Adding to 213313141 its reverse (141313312), we get a palindrome (354626453).

The spelling of 213313141 in words is "two hundred thirteen million, three hundred thirteen thousand, one hundred forty-one".