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114005933 is a prime number
BaseRepresentation
bin1101100101110…
…01011110101101
321221112002201222
412302321132231
5213141142213
615151313125
72553014546
oct662713655
9257462658
10114005933
1159398388
123221b7a5
131a808842
14111d94cd
15a01e808
hex6cb97ad

114005933 has 2 divisors, whose sum is σ = 114005934. Its totient is φ = 114005932.

The previous prime is 114005923. The next prime is 114005977. The reversal of 114005933 is 339500411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105226564 + 8779369 = 10258^2 + 2963^2 .

It is a cyclic number.

It is not a de Polignac number, because 114005933 - 214 = 113989549 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114005923) 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, 57002966 + 57002967.

It is an arithmetic number, because the mean of its divisors is an integer number (57002967).

Almost surely, 2114005933 is an apocalyptic number.

It is an amenable number.

114005933 is a deficient number, since it is larger than the sum of its proper divisors (1).

114005933 is an equidigital number, since it uses as much as digits as its factorization.

114005933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 114005933 is about 10677.3560865975. The cubic root of 114005933 is about 484.8891701268.

The spelling of 114005933 in words is "one hundred fourteen million, five thousand, nine hundred thirty-three".