Search a number
-
+
103828651914193 is a prime number
BaseRepresentation
bin10111100110111001111101…
…111010100011001111010001
3111121121220220021100121000121
4113212321331322203033101
5102102112034342223233
61004454120232350241
730604241533354033
oct2746717572431721
9447556807317017
10103828651914193
11300a053621a878
12b78a831545381
1345c1ccc91459b
141b8d49543bc53
15c00c4c8e192d
hex5e6e7dea33d1

103828651914193 has 2 divisors, whose sum is σ = 103828651914194. Its totient is φ = 103828651914192.

The previous prime is 103828651914179. The next prime is 103828651914331. The reversal of 103828651914193 is 391419156828301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74811220825104 + 29017431089089 = 8649348^2 + 5386783^2 .

It is a cyclic number.

It is not a de Polignac number, because 103828651914193 - 237 = 103691212960721 is a prime.

It is not a weakly prime, because it can be changed into another prime (103828651914103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51914325957096 + 51914325957097.

It is an arithmetic number, because the mean of its divisors is an integer number (51914325957097).

Almost surely, 2103828651914193 is an apocalyptic number.

It is an amenable number.

103828651914193 is a deficient number, since it is larger than the sum of its proper divisors (1).

103828651914193 is an equidigital number, since it uses as much as digits as its factorization.

103828651914193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11197440, while the sum is 61.

The spelling of 103828651914193 in words is "one hundred three trillion, eight hundred twenty-eight billion, six hundred fifty-one million, nine hundred fourteen thousand, one hundred ninety-three".