Search a number
-
+
30446100101 is a prime number
BaseRepresentation
bin11100010110101110…
…101001111010000101
32220120211201010200002
4130112232221322011
5444323200200401
621553045331045
72125324403144
oct342656517205
986524633602
1030446100101
1111a040366aa
125a98406a85
132b42927961
14168b7ad75b
15bd2d96a6b
hex716ba9e85

30446100101 has 2 divisors, whose sum is σ = 30446100102. Its totient is φ = 30446100100.

The previous prime is 30446100079. The next prime is 30446100121. The reversal of 30446100101 is 10100164403.

It is an a-pointer prime, because the next prime (30446100121) can be obtained adding 30446100101 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29809749025 + 636351076 = 172655^2 + 25226^2 .

It is a cyclic number.

It is not a de Polignac number, because 30446100101 - 218 = 30445837957 is a prime.

It is a super-2 number, since 2×304461001012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30446100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15223050050 + 15223050051.

It is an arithmetic number, because the mean of its divisors is an integer number (15223050051).

Almost surely, 230446100101 is an apocalyptic number.

It is an amenable number.

30446100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

30446100101 is an equidigital number, since it uses as much as digits as its factorization.

30446100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 30446100101 its reverse (10100164403), we get a palindrome (40546264504).

The spelling of 30446100101 in words is "thirty billion, four hundred forty-six million, one hundred thousand, one hundred one".