Search a number
-
+
213152242361 is a prime number
BaseRepresentation
bin1100011010000011011…
…1010001101010111001
3202101011221112211012212
43012200313101222321
511443013433223421
6241530520144505
721254053110632
oct3064067215271
9671157484185
10213152242361
118244097a593
1235388308135
131713c0c65c6
14a460b5a889
155827e49e5b
hex31a0dd1ab9

213152242361 has 2 divisors, whose sum is σ = 213152242362. Its totient is φ = 213152242360.

The previous prime is 213152242327. The next prime is 213152242517. The reversal of 213152242361 is 163242251312.

213152242361 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., 134292931600 + 78859310761 = 366460^2 + 280819^2 .

It is a cyclic number.

It is not a de Polignac number, because 213152242361 - 26 = 213152242297 is a prime.

It is not a weakly prime, because it can be changed into another prime (213152247361) 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, 106576121180 + 106576121181.

It is an arithmetic number, because the mean of its divisors is an integer number (106576121181).

Almost surely, 2213152242361 is an apocalyptic number.

It is an amenable number.

213152242361 is a deficient number, since it is larger than the sum of its proper divisors (1).

213152242361 is an equidigital number, since it uses as much as digits as its factorization.

213152242361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 32.

Adding to 213152242361 its reverse (163242251312), we get a palindrome (376394493673).

The spelling of 213152242361 in words is "two hundred thirteen billion, one hundred fifty-two million, two hundred forty-two thousand, three hundred sixty-one".