Search a number
-
+
181262205001 is a prime number
BaseRepresentation
bin1010100011010000010…
…0011100000001001001
3122022212110211002000001
42220310010130001021
510432211111030001
6215134250043001
716044563215033
oct2506404340111
9568773732001
10181262205001
116a966875509
122b168419461
13141292a8507
148ab76bcc53
154aad430001
hex2a3411c049

181262205001 has 2 divisors, whose sum is σ = 181262205002. Its totient is φ = 181262205000.

The previous prime is 181262204987. The next prime is 181262205023. The reversal of 181262205001 is 100502262181.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141695027776 + 39567177225 = 376424^2 + 198915^2 .

It is an emirp because it is prime and its reverse (100502262181) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 181262205001 - 27 = 181262204873 is a prime.

It is not a weakly prime, because it can be changed into another prime (181262205041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90631102500 + 90631102501.

It is an arithmetic number, because the mean of its divisors is an integer number (90631102501).

Almost surely, 2181262205001 is an apocalyptic number.

It is an amenable number.

181262205001 is a deficient number, since it is larger than the sum of its proper divisors (1).

181262205001 is an equidigital number, since it uses as much as digits as its factorization.

181262205001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 181262205001 its reverse (100502262181), we get a palindrome (281764467182).

The spelling of 181262205001 in words is "one hundred eighty-one billion, two hundred sixty-two million, two hundred five thousand, one".