Search a number
-
+
242305306261 is a prime number
BaseRepresentation
bin1110000110101010000…
…1011000111010010101
3212011102200011220200021
43201222201120322111
512432220124300021
6303151415345141
723335360056214
oct3415241307225
9764380156607
10242305306261
1193841034a27
123ab636821b1
1319b06b83b85
14ba288dd07b
156482529c41
hex386a858e95

242305306261 has 2 divisors, whose sum is σ = 242305306262. Its totient is φ = 242305306260.

The previous prime is 242305306193. The next prime is 242305306319. The reversal of 242305306261 is 162603503242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229902029361 + 12403276900 = 479481^2 + 111370^2 .

It is a cyclic number.

It is not a de Polignac number, because 242305306261 - 213 = 242305298069 is a prime.

It is a super-2 number, since 2×2423053062612 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (242305307261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121152653130 + 121152653131.

It is an arithmetic number, because the mean of its divisors is an integer number (121152653131).

Almost surely, 2242305306261 is an apocalyptic number.

It is an amenable number.

242305306261 is a deficient number, since it is larger than the sum of its proper divisors (1).

242305306261 is an equidigital number, since it uses as much as digits as its factorization.

242305306261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 242305306261 in words is "two hundred forty-two billion, three hundred five million, three hundred six thousand, two hundred sixty-one".