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114998129 is a prime number
BaseRepresentation
bin1101101101010…
…11101101110001
322000101111202222
412312223231301
5213414420004
615224450425
72564316341
oct666535561
9260344688
10114998129
1159a05884
1232619a15
131aa9533c
14113b6d21
15a1687be
hex6dabb71

114998129 has 2 divisors, whose sum is σ = 114998130. Its totient is φ = 114998128.

The previous prime is 114998083. The next prime is 114998131. The reversal of 114998129 is 921899411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86397025 + 28601104 = 9295^2 + 5348^2 .

It is an emirp because it is prime and its reverse (921899411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114998129 - 28 = 114997873 is a prime.

Together with 114998131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114998129.

It is not a weakly prime, because it can be changed into another prime (114998929) 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, 57499064 + 57499065.

It is an arithmetic number, because the mean of its divisors is an integer number (57499065).

Almost surely, 2114998129 is an apocalyptic number.

It is an amenable number.

114998129 is a deficient number, since it is larger than the sum of its proper divisors (1).

114998129 is an equidigital number, since it uses as much as digits as its factorization.

114998129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 44.

The square root of 114998129 is about 10723.7180585840. The cubic root of 114998129 is about 486.2917758289.

The spelling of 114998129 in words is "one hundred fourteen million, nine hundred ninety-eight thousand, one hundred twenty-nine".