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114416017 is a prime number
BaseRepresentation
bin1101101000111…
…01100110010001
321222021221021021
412310131212101
5213242303032
615204155441
72556343252
oct664354621
9258257237
10114416017
11596484a1
1232398b81
131a9203b1
14112a4b29
15a0a1097
hex6d1d991

114416017 has 2 divisors, whose sum is σ = 114416018. Its totient is φ = 114416016.

The previous prime is 114416011. The next prime is 114416021. The reversal of 114416017 is 710614411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80263681 + 34152336 = 8959^2 + 5844^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114416017 is a prime.

It is a super-2 number, since 2×1144160172 = 26182049892288578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114415982 and 114416000.

It is not a weakly prime, because it can be changed into another prime (114416011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57208008 + 57208009.

It is an arithmetic number, because the mean of its divisors is an integer number (57208009).

Almost surely, 2114416017 is an apocalyptic number.

It is an amenable number.

114416017 is a deficient number, since it is larger than the sum of its proper divisors (1).

114416017 is an equidigital number, since it uses as much as digits as its factorization.

114416017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 114416017 is about 10696.5422917876. The cubic root of 114416017 is about 485.4698631437.

It can be divided in two parts, 1144 and 16017, that added together give a square (17161 = 1312).

The spelling of 114416017 in words is "one hundred fourteen million, four hundred sixteen thousand, seventeen".