Search a number
-
+
100440017 is a prime number
BaseRepresentation
bin1011111110010…
…01011111010001
320222222212210122
411333021133101
5201203040032
613544440025
72326504016
oct577113721
9228885718
10100440017
1151772087
1229779015
1317a68b82
14d4a770d
158c40012
hex5fc97d1

100440017 has 2 divisors, whose sum is σ = 100440018. Its totient is φ = 100440016.

The previous prime is 100440013. The next prime is 100440049. The reversal of 100440017 is 710044001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83923921 + 16516096 = 9161^2 + 4064^2 .

It is a cyclic number.

It is not a de Polignac number, because 100440017 - 22 = 100440013 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100439977 and 100440004.

It is not a weakly prime, because it can be changed into another prime (100440013) 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, 50220008 + 50220009.

It is an arithmetic number, because the mean of its divisors is an integer number (50220009).

Almost surely, 2100440017 is an apocalyptic number.

It is an amenable number.

100440017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100440017 is an equidigital number, since it uses as much as digits as its factorization.

100440017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 100440017 is about 10021.9767012302. The cubic root of 100440017 is about 464.8386799252.

Adding to 100440017 its reverse (710044001), we get a palindrome (810484018).

The spelling of 100440017 in words is "one hundred million, four hundred forty thousand, seventeen".