Search a number
-
+
1001120000017 is a prime number
BaseRepresentation
bin11101001000101110110…
…01101110100000010001
310112201001202220022200011
432210113121232200101
5112400243210000032
62043524055554521
7132220454411134
oct16442731564021
93481052808604
101001120000017
11356633160545
1214203508ba41
137353632c947
14366510b021b
151b094c4d247
hexe91766e811

1001120000017 has 2 divisors, whose sum is σ = 1001120000018. Its totient is φ = 1001120000016.

The previous prime is 1001119999993. The next prime is 1001120000087. The reversal of 1001120000017 is 7100000211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 655186638096 + 345933361921 = 809436^2 + 588161^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001120000017 - 27 = 1001119999889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001119999961 and 1001120000006.

It is not a weakly prime, because it can be changed into another prime (1001120000087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560000008 + 500560000009.

It is an arithmetic number, because the mean of its divisors is an integer number (500560000009).

Almost surely, 21001120000017 is an apocalyptic number.

It is an amenable number.

1001120000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001120000017 is an equidigital number, since it uses as much as digits as its factorization.

1001120000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 1001120000017 its reverse (7100000211001), we get a palindrome (8101120211018).

The spelling of 1001120000017 in words is "one trillion, one billion, one hundred twenty million, seventeen", and thus it is an aban number.