Search a number
-
+
1000112111177 is a prime number
BaseRepresentation
bin11101000110110110101…
…00111011111001001001
310112121110112101021002212
432203123110323321021
5112341212200024202
62043240053234505
7132153465452534
oct16433324737111
93477415337085
101000112111177
11356166239763
121419b3632a35
137340558cb0a
14365972aba1b
151b03650e652
hexe8db53be49

1000112111177 has 2 divisors, whose sum is σ = 1000112111178. Its totient is φ = 1000112111176.

The previous prime is 1000112111099. The next prime is 1000112111359. The reversal of 1000112111177 is 7711112110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 838215322681 + 161896788496 = 915541^2 + 402364^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000112111177 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000112111777) 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, 500056055588 + 500056055589.

It is an arithmetic number, because the mean of its divisors is an integer number (500056055589).

Almost surely, 21000112111177 is an apocalyptic number.

It is an amenable number.

1000112111177 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000112111177 is an equidigital number, since it uses as much as digits as its factorization.

1000112111177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98, while the sum is 23.

Adding to 1000112111177 its reverse (7711112110001), we get a palindrome (8711224221178).

The spelling of 1000112111177 in words is "one trillion, one hundred twelve million, one hundred eleven thousand, one hundred seventy-seven".