Search a number
-
+
10011100110997 is a prime number
BaseRepresentation
bin1001000110101110010000…
…0100001110000010010101
31022110001101210001022112111
42101223210010032002111
52303010213112022442
633143011430551021
72052164251624036
oct221534404160225
938401353038474
1010011100110997
11320a758029777
121158275208471
13578072a3503b
1426877b41ca8d
151256296a9b17
hex91ae410e095

10011100110997 has 2 divisors, whose sum is σ = 10011100110998. Its totient is φ = 10011100110996.

The previous prime is 10011100110943. The next prime is 10011100111009. The reversal of 10011100110997 is 79901100111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5554572230596 + 4456527880401 = 2356814^2 + 2111049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10011100110997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011100110797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005550055498 + 5005550055499.

It is an arithmetic number, because the mean of its divisors is an integer number (5005550055499).

Almost surely, 210011100110997 is an apocalyptic number.

It is an amenable number.

10011100110997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011100110997 is an equidigital number, since it uses as much as digits as its factorization.

10011100110997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 31.

Adding to 10011100110997 its reverse (79901100111001), we get a palindrome (89912200221998).

The spelling of 10011100110997 in words is "ten trillion, eleven billion, one hundred million, one hundred ten thousand, nine hundred ninety-seven".