Search a number
-
+
102228738217 is a prime number
BaseRepresentation
bin101111100110101001…
…1101100000010101001
3100202212111101222022121
41133031103230002221
53133331024110332
6114544020351241
710246215636364
oct1371523540251
9322774358277
10102228738217
113a39a504111
1217990245521
139842493958
144d3b05d0db
1529d4c31797
hex17cd4ec0a9

102228738217 has 2 divisors, whose sum is σ = 102228738218. Its totient is φ = 102228738216.

The previous prime is 102228738203. The next prime is 102228738263. The reversal of 102228738217 is 712837822201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53495526681 + 48733211536 = 231291^2 + 220756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102228738217 is a prime.

It is not a weakly prime, because it can be changed into another prime (102228738277) 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, 51114369108 + 51114369109.

It is an arithmetic number, because the mean of its divisors is an integer number (51114369109).

Almost surely, 2102228738217 is an apocalyptic number.

It is an amenable number.

102228738217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102228738217 is an equidigital number, since it uses as much as digits as its factorization.

102228738217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 102228738217 in words is "one hundred two billion, two hundred twenty-eight million, seven hundred thirty-eight thousand, two hundred seventeen".