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114066181 is a prime number
BaseRepresentation
bin1101100110010…
…00001100000101
321221122011101101
412303020030011
5213200104211
615152500101
72553355315
oct663101405
9257564341
10114066181
1159429679
123224a631
131a82a0a8
1411213445
15a0325c1
hex6cc8305

114066181 has 2 divisors, whose sum is σ = 114066182. Its totient is φ = 114066180.

The previous prime is 114066179. The next prime is 114066191. The reversal of 114066181 is 181660411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83429956 + 30636225 = 9134^2 + 5535^2 .

It is a cyclic number.

It is not a de Polignac number, because 114066181 - 21 = 114066179 is a prime.

It is a super-2 number, since 2×1140661812 = 26022187295849522, which contains 22 as substring.

Together with 114066179, it forms a pair of twin primes.

It is equal to p6522409 and since 114066181 and 6522409 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114066191) 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, 57033090 + 57033091.

It is an arithmetic number, because the mean of its divisors is an integer number (57033091).

Almost surely, 2114066181 is an apocalyptic number.

It is an amenable number.

114066181 is a deficient number, since it is larger than the sum of its proper divisors (1).

114066181 is an equidigital number, since it uses as much as digits as its factorization.

114066181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 114066181 is about 10680.1770116417. The cubic root of 114066181 is about 484.9745705305.

The spelling of 114066181 in words is "one hundred fourteen million, sixty-six thousand, one hundred eighty-one".