Search a number
-
+
2018183729101 is a prime number
BaseRepresentation
bin11101010111100101000…
…111111100111111001101
321010221021200201222221021
4131113211013330333031
5231031220013312401
64143050225234141
7265544321436361
oct35274507747715
97127250658837
102018183729101
117089a8112681
12287179792951
13118410872ca7
146d9758652a1
153776e5792a1
hex1d5e51fcfcd

2018183729101 has 2 divisors, whose sum is σ = 2018183729102. Its totient is φ = 2018183729100.

The previous prime is 2018183729083. The next prime is 2018183729131. The reversal of 2018183729101 is 1019273818102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1388565283876 + 629618445225 = 1178374^2 + 793485^2 .

It is a cyclic number.

It is not a de Polignac number, because 2018183729101 - 213 = 2018183720909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2018183729131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1009091864550 + 1009091864551.

It is an arithmetic number, because the mean of its divisors is an integer number (1009091864551).

Almost surely, 22018183729101 is an apocalyptic number.

It is an amenable number.

2018183729101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2018183729101 is an equidigital number, since it uses as much as digits as its factorization.

2018183729101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 43.

The spelling of 2018183729101 in words is "two trillion, eighteen billion, one hundred eighty-three million, seven hundred twenty-nine thousand, one hundred one".