Search a number
-
+
242225513352049 is a prime number
BaseRepresentation
bin110111000100110110000101…
…101011011100101101110001
31011202122112101111120011210011
4313010312011223130231301
5223222110322404231144
62215100510432334521
7102010134012632113
oct6704660553345561
91152575344504704
10242225513352049
11701a9299532417
1223200b163a4441
13a5209ca0c1996
1443b5ac52873b3
151d00c94ed4a34
hexdc4d85adcb71

242225513352049 has 2 divisors, whose sum is σ = 242225513352050. Its totient is φ = 242225513352048.

The previous prime is 242225513352013. The next prime is 242225513352113. The reversal of 242225513352049 is 940253315522242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219704727553600 + 22520785798449 = 14822440^2 + 4745607^2 .

It is a cyclic number.

It is not a de Polignac number, because 242225513352049 - 213 = 242225513343857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242225513351993 and 242225513352011.

It is not a weakly prime, because it can be changed into another prime (242225513352749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121112756676024 + 121112756676025.

It is an arithmetic number, because the mean of its divisors is an integer number (121112756676025).

Almost surely, 2242225513352049 is an apocalyptic number.

It is an amenable number.

242225513352049 is a deficient number, since it is larger than the sum of its proper divisors (1).

242225513352049 is an equidigital number, since it uses as much as digits as its factorization.

242225513352049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 242225513352049 in words is "two hundred forty-two trillion, two hundred twenty-five billion, five hundred thirteen million, three hundred fifty-two thousand, forty-nine".