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114008029 is a prime number
BaseRepresentation
bin1101100101110…
…01111111011101
321221112012121121
412302321333131
5213141224104
615151330541
72553023632
oct662717735
9257465547
10114008029
1159399a13
1232220a51
131a809795
14111da189
15a020254
hex6cb9fdd

114008029 has 2 divisors, whose sum is σ = 114008030. Its totient is φ = 114008028.

The previous prime is 114008009. The next prime is 114008087. The reversal of 114008029 is 920800411.

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., 65983129 + 48024900 = 8123^2 + 6930^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114008029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114007994 and 114008012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114008009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57004014 + 57004015.

It is an arithmetic number, because the mean of its divisors is an integer number (57004015).

Almost surely, 2114008029 is an apocalyptic number.

It is an amenable number.

114008029 is a deficient number, since it is larger than the sum of its proper divisors (1).

114008029 is an equidigital number, since it uses as much as digits as its factorization.

114008029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 114008029 is about 10677.4542377853. The cubic root of 114008029 is about 484.8921416723.

The spelling of 114008029 in words is "one hundred fourteen million, eight thousand, twenty-nine".