Search a number
-
+
213180217 is a prime number
BaseRepresentation
bin11001011010011…
…01111100111001
3112212010200021121
430231031330321
5414033231332
633053105241
75166000445
oct1455157471
9485120247
10213180217
11aa3754a8
125b488221
1335220553
1420453825
1513aae797
hexcb4df39

213180217 has 2 divisors, whose sum is σ = 213180218. Its totient is φ = 213180216.

The previous prime is 213180181. The next prime is 213180223. The reversal of 213180217 is 712081312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205176976 + 8003241 = 14324^2 + 2829^2 .

It is a cyclic number.

It is not a de Polignac number, because 213180217 - 27 = 213180089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213180191 and 213180200.

It is not a weakly prime, because it can be changed into another prime (213180277) 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, 106590108 + 106590109.

It is an arithmetic number, because the mean of its divisors is an integer number (106590109).

Almost surely, 2213180217 is an apocalyptic number.

It is an amenable number.

213180217 is a deficient number, since it is larger than the sum of its proper divisors (1).

213180217 is an equidigital number, since it uses as much as digits as its factorization.

213180217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 213180217 is about 14600.6923465978. The cubic root of 213180217 is about 597.3776452717.

The spelling of 213180217 in words is "two hundred thirteen million, one hundred eighty thousand, two hundred seventeen".