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213242320177 is a prime number
BaseRepresentation
bin1100011010011000111…
…0111001010100110001
3202101102020001020202021
43012212032321110301
511443210013221202
6241543454551441
721256225546315
oct3064616712461
9671366036667
10213242320177
1182487804367
12353b2508581
1317154974aa3
14a46cac7b45
155830cdea37
hex31a63b9531

213242320177 has 2 divisors, whose sum is σ = 213242320178. Its totient is φ = 213242320176.

The previous prime is 213242320169. The next prime is 213242320219. The reversal of 213242320177 is 771023242312.

213242320177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160397046016 + 52845274161 = 400496^2 + 229881^2 .

It is a cyclic number.

It is not a de Polignac number, because 213242320177 - 23 = 213242320169 is a prime.

It is a super-2 number, since 2×2132423201772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213242320117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106621160088 + 106621160089.

It is an arithmetic number, because the mean of its divisors is an integer number (106621160089).

Almost surely, 2213242320177 is an apocalyptic number.

It is an amenable number.

213242320177 is a deficient number, since it is larger than the sum of its proper divisors (1).

213242320177 is an equidigital number, since it uses as much as digits as its factorization.

213242320177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 34.

Adding to 213242320177 its reverse (771023242312), we get a palindrome (984265562489).

The spelling of 213242320177 in words is "two hundred thirteen billion, two hundred forty-two million, three hundred twenty thousand, one hundred seventy-seven".