Search a number
-
+
10011111100141 is a prime number
BaseRepresentation
bin1001000110101110010010…
…1110001000111011101101
31022110001102112201121210211
42101223210232020323231
52303010223420201031
633143012502302421
72052164444213254
oct221534456107355
938401375647724
1010011111100141
11320a763255008
121158278a27a11
135780750b1ba8
1426877ca7d79b
1512562a62abb1
hex91ae4b88eed

10011111100141 has 2 divisors, whose sum is σ = 10011111100142. Its totient is φ = 10011111100140.

The previous prime is 10011111100103. The next prime is 10011111100163. The reversal of 10011111100141 is 14100111111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8649210430116 + 1361900670025 = 2940954^2 + 1167005^2 .

It is an emirp because it is prime and its reverse (14100111111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011111100141 - 225 = 10011077545709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011111101141) 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, 5005555550070 + 5005555550071.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555550071).

Almost surely, 210011111100141 is an apocalyptic number.

It is an amenable number.

10011111100141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011111100141 is an equidigital number, since it uses as much as digits as its factorization.

10011111100141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10011111100141 its reverse (14100111111001), we get a palindrome (24111222211142).

The spelling of 10011111100141 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred thousand, one hundred forty-one".