Search a number
-
+
73138193 is a prime number
BaseRepresentation
bin1000101110000…
…00000000010001
312002121210201222
410113000000101
5122210410233
611131334425
71545443612
oct427000021
9162553658
1073138193
1138314897
12205b1415
13121ca04b
1499dbc09
15664a898
hex45c0011

73138193 has 2 divisors, whose sum is σ = 73138194. Its totient is φ = 73138192.

The previous prime is 73138187. The next prime is 73138243. The reversal of 73138193 is 39183137.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66210769 + 6927424 = 8137^2 + 2632^2 .

It is a cyclic number.

It is not a de Polignac number, because 73138193 - 214 = 73121809 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (73138123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36569096 + 36569097.

It is an arithmetic number, because the mean of its divisors is an integer number (36569097).

Almost surely, 273138193 is an apocalyptic number.

It is an amenable number.

73138193 is a deficient number, since it is larger than the sum of its proper divisors (1).

73138193 is an equidigital number, since it uses as much as digits as its factorization.

73138193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 35.

The square root of 73138193 is about 8552.0870552164. The cubic root of 73138193 is about 418.1974773351.

The spelling of 73138193 in words is "seventy-three million, one hundred thirty-eight thousand, one hundred ninety-three".