Search a number
-
+
11100101100001 is a prime number
BaseRepresentation
bin1010000110000111000110…
…0101010100000111100001
31110022011022010112102200121
42201201301211110013201
52423331001340200001
635335152133320241
72223645565405114
oct241416145240741
943264263472617
1011100101100001
11359a587767a31
1212b3335496081
13626972b70b84
142a5367bd257b
15143b147146a1
hexa18719541e1

11100101100001 has 2 divisors, whose sum is σ = 11100101100002. Its totient is φ = 11100101100000.

The previous prime is 11100101099939. The next prime is 11100101100029. The reversal of 11100101100001 is 10000110100111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9524624267601 + 1575476832400 = 3086199^2 + 1255180^2 .

It is a cyclic number.

It is not a de Polignac number, because 11100101100001 - 225 = 11100067545569 is a prime.

It is not a weakly prime, because it can be changed into another prime (11100101140001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550050550000 + 5550050550001.

It is an arithmetic number, because the mean of its divisors is an integer number (5550050550001).

Almost surely, 211100101100001 is an apocalyptic number.

It is an amenable number.

11100101100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100101100001 is an equidigital number, since it uses as much as digits as its factorization.

11100101100001 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 7.

Adding to 11100101100001 its reverse (10000110100111), we get a palindrome (21100211200112).

It can be divided in two parts, 11100 and 101100001, that added together give a palindrome (101111101).

The spelling of 11100101100001 in words is "eleven trillion, one hundred billion, one hundred one million, one hundred thousand, one".