Search a number
-
+
242101313 is a prime number
BaseRepresentation
bin11100110111000…
…10110001000001
3121212120000120022
432123202301001
5443434220223
640005023225
75666553506
oct1633426101
9555500508
10242101313
11114729333
12690b4b15
133b20841c
14242214ad
15163c3ac8
hexe6e2c41

242101313 has 2 divisors, whose sum is σ = 242101314. Its totient is φ = 242101312.

The previous prime is 242101291. The next prime is 242101339. The reversal of 242101313 is 313101242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137898049 + 104203264 = 11743^2 + 10208^2 .

It is a cyclic number.

It is not a de Polignac number, because 242101313 - 226 = 174992449 is a prime.

It is a super-2 number, since 2×2421013132 = 117226091512647938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242101291 and 242101300.

It is not a weakly prime, because it can be changed into another prime (242101393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121050656 + 121050657.

It is an arithmetic number, because the mean of its divisors is an integer number (121050657).

Almost surely, 2242101313 is an apocalyptic number.

It is an amenable number.

242101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

242101313 is an equidigital number, since it uses as much as digits as its factorization.

242101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 242101313 is about 15559.6051685125. The cubic root of 242101313 is about 623.2549191367.

Adding to 242101313 its reverse (313101242), we get a palindrome (555202555).

The spelling of 242101313 in words is "two hundred forty-two million, one hundred one thousand, three hundred thirteen".