Search a number
-
+
163005643153121 is a prime number
BaseRepresentation
bin100101000100000010110101…
…011101001101111011100001
3210101011012001112120012111012
4211010002311131031323201
5132331141024121344441
61334403431513030305
746222524536431406
oct4504026535157341
9711135045505435
10163005643153121
1147a3633a01446a
12163477040b5395
136cc549b6aa592
142c3772dac02ad
1513ca23e2119eb
hex9440b574dee1

163005643153121 has 2 divisors, whose sum is σ = 163005643153122. Its totient is φ = 163005643153120.

The previous prime is 163005643153081. The next prime is 163005643153159. The reversal of 163005643153121 is 121351346500361.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161868647463121 + 1136995690000 = 12722761^2 + 1066300^2 .

It is a cyclic number.

It is not a de Polignac number, because 163005643153121 - 214 = 163005643136737 is a prime.

It is not a weakly prime, because it can be changed into another prime (163005643153721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 81502821576560 + 81502821576561.

It is an arithmetic number, because the mean of its divisors is an integer number (81502821576561).

Almost surely, 2163005643153121 is an apocalyptic number.

It is an amenable number.

163005643153121 is a deficient number, since it is larger than the sum of its proper divisors (1).

163005643153121 is an equidigital number, since it uses as much as digits as its factorization.

163005643153121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 41.

Adding to 163005643153121 its reverse (121351346500361), we get a palindrome (284356989653482).

The spelling of 163005643153121 in words is "one hundred sixty-three trillion, five billion, six hundred forty-three million, one hundred fifty-three thousand, one hundred twenty-one".