Search a number
-
+
1100010000017 is a prime number
BaseRepresentation
bin10000000000011101101…
…101001000111010010001
310220011022120212211011202
4100000131231020322101
5121010310030000032
62201200531520545
7142321162504055
oct20003555107221
93804276784152
101100010000017
11394569a71175
12159233159155
137c965b99b46
143b35294bc65
151d9317c8d62
hex1001db48e91

1100010000017 has 2 divisors, whose sum is σ = 1100010000018. Its totient is φ = 1100010000016.

The previous prime is 1100009999999. The next prime is 1100010000049. The reversal of 1100010000017 is 7100000100011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 704187827281 + 395822172736 = 839159^2 + 629144^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100010000017 - 26 = 1100009999953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100009999962 and 1100010000007.

It is not a weakly prime, because it can be changed into another prime (1100010002017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550005000008 + 550005000009.

It is an arithmetic number, because the mean of its divisors is an integer number (550005000009).

Almost surely, 21100010000017 is an apocalyptic number.

It is an amenable number.

1100010000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100010000017 is an equidigital number, since it uses as much as digits as its factorization.

1100010000017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 1100010000017 its reverse (7100000100011), we get a palindrome (8200010100028).

The spelling of 1100010000017 in words is "one trillion, one hundred billion, ten million, seventeen", and thus it is an aban number.