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114268129 is a prime number
BaseRepresentation
bin1101100111110…
…01011111100001
321222000102101221
412303321133201
5213223040004
615201055041
72555156143
oct663713741
9258012357
10114268129
1159557378
1232327481
131a89aca1
1411266c93
15a072354
hex6cf97e1

114268129 has 2 divisors, whose sum is σ = 114268130. Its totient is φ = 114268128.

The previous prime is 114268127. The next prime is 114268153. The reversal of 114268129 is 921862411.

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., 111936400 + 2331729 = 10580^2 + 1527^2 .

It is a cyclic number.

It is not a de Polignac number, because 114268129 - 21 = 114268127 is a prime.

Together with 114268127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 114268094 and 114268103.

It is not a weakly prime, because it can be changed into another prime (114268127) 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, 57134064 + 57134065.

It is an arithmetic number, because the mean of its divisors is an integer number (57134065).

Almost surely, 2114268129 is an apocalyptic number.

It is an amenable number.

114268129 is a deficient number, since it is larger than the sum of its proper divisors (1).

114268129 is an equidigital number, since it uses as much as digits as its factorization.

114268129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 34.

The square root of 114268129 is about 10689.6271684283. The cubic root of 114268129 is about 485.2606088682.

The spelling of 114268129 in words is "one hundred fourteen million, two hundred sixty-eight thousand, one hundred twenty-nine".