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114014129 is a prime number
BaseRepresentation
bin1101100101110…
…11011110110001
321221112111222112
412302323132301
5213141423004
615151415105
72553050465
oct662733661
9257474875
10114014129
11593a3559
1232224495
131a80c4a8
14111dc4a5
15a021e6e
hex6cbb7b1

114014129 has 2 divisors, whose sum is σ = 114014130. Its totient is φ = 114014128.

The previous prime is 114014119. The next prime is 114014161. The reversal of 114014129 is 921410411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80640400 + 33373729 = 8980^2 + 5777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114014129 is a prime.

It is a super-2 number, since 2×1140141292 = 25998443223257282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114014119) 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, 57007064 + 57007065.

It is an arithmetic number, because the mean of its divisors is an integer number (57007065).

Almost surely, 2114014129 is an apocalyptic number.

It is an amenable number.

114014129 is a deficient number, since it is larger than the sum of its proper divisors (1).

114014129 is an equidigital number, since it uses as much as digits as its factorization.

114014129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 114014129 is about 10677.7398825781. The cubic root of 114014129 is about 484.9007895700.

The spelling of 114014129 in words is "one hundred fourteen million, fourteen thousand, one hundred twenty-nine".