Search a number
-
+
110100001110101 is a prime number
BaseRepresentation
bin11001000010001010100111…
…011101001011100001010101
3112102211110100101021112010122
4121002022213131023201111
5103412334300241010401
61030055124154401325
732122314444110522
oct3102124735134125
9472743311245118
10110100001110101
113209916a364332
121042214b730245
1349585020ac262
141d28c231b0149
15cade48abb21b
hex6422a774b855

110100001110101 has 2 divisors, whose sum is σ = 110100001110102. Its totient is φ = 110100001110100.

The previous prime is 110100001110041. The next prime is 110100001110107. The reversal of 110100001110101 is 101011100001011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109632417302500 + 467583807601 = 10470550^2 + 683801^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100001110101 - 242 = 105701954598997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100001110107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050000555050 + 55050000555051.

It is an arithmetic number, because the mean of its divisors is an integer number (55050000555051).

Almost surely, 2110100001110101 is an apocalyptic number.

It is an amenable number.

110100001110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100001110101 is an equidigital number, since it uses as much as digits as its factorization.

110100001110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110100001110101 its reverse (101011100001011), we get a palindrome (211111101111112).

The spelling of 110100001110101 in words is "one hundred ten trillion, one hundred billion, one million, one hundred ten thousand, one hundred one".