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18117041 is a prime number
BaseRepresentation
bin100010100011…
…1000110110001
31021002102220112
41011013012301
514114221131
61444151105
7306664235
oct105070661
937072815
1018117041
11a254668
126098495
1339a4357
1425985c5
1518cd02b
hex11471b1

18117041 has 2 divisors, whose sum is σ = 18117042. Its totient is φ = 18117040.

The previous prime is 18117023. The next prime is 18117101. The reversal of 18117041 is 14071181.

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., 11971600 + 6145441 = 3460^2 + 2479^2 .

It is an emirp because it is prime and its reverse (14071181) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18117041 - 26 = 18116977 is a prime.

It is a super-3 number, since 3×181170413 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18116998 and 18117016.

It is not a weakly prime, because it can be changed into another prime (18119041) 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, 9058520 + 9058521.

It is an arithmetic number, because the mean of its divisors is an integer number (9058521).

Almost surely, 218117041 is an apocalyptic number.

It is an amenable number.

18117041 is a deficient number, since it is larger than the sum of its proper divisors (1).

18117041 is an equidigital number, since it uses as much as digits as its factorization.

18117041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

The square root of 18117041 is about 4256.4117516988. The cubic root of 18117041 is about 262.6409389785.

The spelling of 18117041 in words is "eighteen million, one hundred seventeen thousand, forty-one".