Search a number
-
+
102164327047 is a prime number
BaseRepresentation
bin101111100100101110…
…1111110101010000111
3100202201000012112210201
41133021131332222013
53133213031431142
6114533400031331
710244504310616
oct1371135765207
9322630175721
10102164327047
113a367110042
1217972762547
139832030c33
144d3269387d
1529ce25bab7
hex17c977ea87

102164327047 has 2 divisors, whose sum is σ = 102164327048. Its totient is φ = 102164327046.

The previous prime is 102164326963. The next prime is 102164327051. The reversal of 102164327047 is 740723461201.

It is a strong prime.

It is an emirp because it is prime and its reverse (740723461201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102164327047 - 223 = 102155938439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102164326997 and 102164327015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102164327077) 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, 51082163523 + 51082163524.

It is an arithmetic number, because the mean of its divisors is an integer number (51082163524).

Almost surely, 2102164327047 is an apocalyptic number.

102164327047 is a deficient number, since it is larger than the sum of its proper divisors (1).

102164327047 is an equidigital number, since it uses as much as digits as its factorization.

102164327047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 37.

Adding to 102164327047 its reverse (740723461201), we get a palindrome (842887788248).

The spelling of 102164327047 in words is "one hundred two billion, one hundred sixty-four million, three hundred twenty-seven thousand, forty-seven".