Search a number
-
+
242130104000041 is a prime number
BaseRepresentation
bin110111000011011101001110…
…110101101001111000101001
31011202022102010021000220201011
4313003131032311221320221
5223214024423111000131
62214545011215023521
7102000215460546025
oct6703351665517051
91152272107026634
10242130104000041
1170171889431084
12231a6529b0aba1
13a514a036a68ca
1443b1233bab385
151ced55dce20b1
hexdc374ed69e29

242130104000041 has 2 divisors, whose sum is σ = 242130104000042. Its totient is φ = 242130104000040.

The previous prime is 242130104000027. The next prime is 242130104000087. The reversal of 242130104000041 is 140000401031242.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 232512482689600 + 9617621310441 = 15248360^2 + 3101229^2 .

It is a cyclic number.

It is not a de Polignac number, because 242130104000041 - 211 = 242130103997993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242130103999976 and 242130104000021.

It is not a weakly prime, because it can be changed into another prime (242130104003041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121065052000020 + 121065052000021.

It is an arithmetic number, because the mean of its divisors is an integer number (121065052000021).

Almost surely, 2242130104000041 is an apocalyptic number.

It is an amenable number.

242130104000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

242130104000041 is an equidigital number, since it uses as much as digits as its factorization.

242130104000041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 242130104000041 its reverse (140000401031242), we get a palindrome (382130505031283).

The spelling of 242130104000041 in words is "two hundred forty-two trillion, one hundred thirty billion, one hundred four million, forty-one", and thus it is an aban number.