Search a number
-
+
73001141 is a prime number
BaseRepresentation
bin1000101100111…
…10100010110101
312002100211201222
410112132202311
5122142014031
611124400125
71544333213
oct426364265
9162324658
1073001141
1138230924
1220546045
131217c855
1499a3cb3
15661ee7b
hex459e8b5

73001141 has 2 divisors, whose sum is σ = 73001142. Its totient is φ = 73001140.

The previous prime is 73001119. The next prime is 73001171. The reversal of 73001141 is 14110037.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63520900 + 9480241 = 7970^2 + 3079^2 .

It is a cyclic number.

It is not a de Polignac number, because 73001141 - 218 = 72738997 is a prime.

It is a super-3 number, since 3×730011413 (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73001171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36500570 + 36500571.

It is an arithmetic number, because the mean of its divisors is an integer number (36500571).

Almost surely, 273001141 is an apocalyptic number.

It is an amenable number.

73001141 is a deficient number, since it is larger than the sum of its proper divisors (1).

73001141 is an equidigital number, since it uses as much as digits as its factorization.

73001141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 73001141 is about 8544.0705170311. The cubic root of 73001141 is about 417.9360970816.

Adding to 73001141 its reverse (14110037), we get a palindrome (87111178).

The spelling of 73001141 in words is "seventy-three million, one thousand, one hundred forty-one".