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102161 is a prime number
BaseRepresentation
bin11000111100010001
312012010202
4120330101
511232121
62104545
7603563
oct307421
9165122
10102161
116a834
124b155
1337667
1429333
152040b
hex18f11

102161 has 2 divisors, whose sum is σ = 102162. Its totient is φ = 102160.

The previous prime is 102149. The next prime is 102181. The reversal of 102161 is 161201.

Adding to 102161 its reverse (161201), we get a palindrome (263362).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101761 + 400 = 319^2 + 20^2 .

It is an emirp because it is prime and its reverse (161201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102161 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102161.

It is not a weakly prime, because it can be changed into another prime (102101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51080 + 51081.

It is an arithmetic number, because the mean of its divisors is an integer number (51081).

2102161 is an apocalyptic number.

It is an amenable number.

102161 is a deficient number, since it is larger than the sum of its proper divisors (1).

102161 is an equidigital number, since it uses as much as digits as its factorization.

102161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102161 is about 319.6263443460. The cubic root of 102161 is about 46.7478575281.

The spelling of 102161 in words is "one hundred two thousand, one hundred sixty-one".