Search a number
-
+
100448000141 is a prime number
BaseRepresentation
bin101110110001100101…
…0101101100010001101
3100121021101122002220112
41131203022231202031
53121204142001031
6114051205125405
710154123625236
oct1354312554215
9317241562815
10100448000141
1139666306255
12175739b9865
13961a589098
144c0c75c08d
15292d73062b
hex17632ad88d

100448000141 has 2 divisors, whose sum is σ = 100448000142. Its totient is φ = 100448000140.

The previous prime is 100448000099. The next prime is 100448000173. The reversal of 100448000141 is 141000844001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64543434916 + 35904565225 = 254054^2 + 189485^2 .

It is a cyclic number.

It is not a de Polignac number, because 100448000141 - 218 = 100447737997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100448002141) 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, 50224000070 + 50224000071.

It is an arithmetic number, because the mean of its divisors is an integer number (50224000071).

Almost surely, 2100448000141 is an apocalyptic number.

It is an amenable number.

100448000141 is a deficient number, since it is larger than the sum of its proper divisors (1).

100448000141 is an equidigital number, since it uses as much as digits as its factorization.

100448000141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 100448000141 its reverse (141000844001), we get a palindrome (241448844142).

The spelling of 100448000141 in words is "one hundred billion, four hundred forty-eight million, one hundred forty-one", and thus it is an aban number.