Search a number
-
+
105161149183 is a prime number
BaseRepresentation
bin110000111110000010…
…1111100101011111111
3101001102212020212221011
41201330011330223333
53210332223233213
6120151012220051
710411664006446
oct1417405745377
9331385225834
10105161149183
11406647aa952
121846a30a627
139bbbb71b7c
1451386add5d
152b073c403d
hex187c17caff

105161149183 has 2 divisors, whose sum is σ = 105161149184. Its totient is φ = 105161149182.

The previous prime is 105161149139. The next prime is 105161149187. The reversal of 105161149183 is 381941161501.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (381941161501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105161149183 - 229 = 104624278271 is a prime.

It is a super-2 number, since 2×1051611491832 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105161149187) 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, 52580574591 + 52580574592.

It is an arithmetic number, because the mean of its divisors is an integer number (52580574592).

Almost surely, 2105161149183 is an apocalyptic number.

105161149183 is a deficient number, since it is larger than the sum of its proper divisors (1).

105161149183 is an equidigital number, since it uses as much as digits as its factorization.

105161149183 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 40.

The spelling of 105161149183 in words is "one hundred five billion, one hundred sixty-one million, one hundred forty-nine thousand, one hundred eighty-three".