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114000413 is a prime number
BaseRepresentation
bin1101100101110…
…00001000011101
321221111211011112
412302320020131
5213141003123
615151231405
72552662502
oct662701035
9257454145
10114000413
115939421a
1232218565
131a806187
14111d74a9
15a01cd78
hex6cb821d

114000413 has 2 divisors, whose sum is σ = 114000414. Its totient is φ = 114000412.

The previous prime is 114000401. The next prime is 114000431. The reversal of 114000413 is 314000411.

It is a happy number.

Together with next prime (114000431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58094884 + 55905529 = 7622^2 + 7477^2 .

It is a cyclic number.

It is not a de Polignac number, because 114000413 - 26 = 114000349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114000463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57000206 + 57000207.

It is an arithmetic number, because the mean of its divisors is an integer number (57000207).

Almost surely, 2114000413 is an apocalyptic number.

It is an amenable number.

114000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

114000413 is an equidigital number, since it uses as much as digits as its factorization.

114000413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 114000413 is about 10677.0975925108. The cubic root of 114000413 is about 484.8813441264.

Adding to 114000413 its reverse (314000411), we get a palindrome (428000824).

The spelling of 114000413 in words is "one hundred fourteen million, four hundred thirteen", and thus it is an aban number.