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1100157017 is a prime number
BaseRepresentation
bin100000110010011…
…0001000001011001
32211200010202201012
41001210301001121
54223120011032
6301100103305
736156115601
oct10144610131
92750122635
101100157017
11515012283
12268534b35
13146c072ab
14a617dc01
15668b76b2
hex41931059

1100157017 has 2 divisors, whose sum is σ = 1100157018. Its totient is φ = 1100157016.

The previous prime is 1100157013. The next prime is 1100157029. The reversal of 1100157017 is 7107510011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1015314496 + 84842521 = 31864^2 + 9211^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100157017 - 22 = 1100157013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100156983 and 1100157001.

It is not a weakly prime, because it can be changed into another prime (1100157013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550078508 + 550078509.

It is an arithmetic number, because the mean of its divisors is an integer number (550078509).

Almost surely, 21100157017 is an apocalyptic number.

It is an amenable number.

1100157017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100157017 is an equidigital number, since it uses as much as digits as its factorization.

1100157017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245, while the sum is 23.

The square root of 1100157017 is about 33168.6149394273. The cubic root of 1100157017 is about 1032.3292299459.

Adding to 1100157017 its reverse (7107510011), we get a palindrome (8207667028).

The spelling of 1100157017 in words is "one billion, one hundred million, one hundred fifty-seven thousand, seventeen".