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114248129 is a prime number
BaseRepresentation
bin1101100111101…
…00100111000001
321221222101222012
412303310213001
5213221420004
615200422305
72555043632
oct663644701
9257871865
10114248129
1159543346
1232317995
131a891b58
141125d889
15a06b46e
hex6cf49c1

114248129 has 2 divisors, whose sum is σ = 114248130. Its totient is φ = 114248128.

The previous prime is 114248093. The next prime is 114248161. The reversal of 114248129 is 921842411.

It is a happy number.

It is an a-pointer prime, because the next prime (114248161) can be obtained adding 114248129 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113529025 + 719104 = 10655^2 + 848^2 .

It is a cyclic number.

It is not a de Polignac number, because 114248129 - 220 = 113199553 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114248095 and 114248104.

It is not a weakly prime, because it can be changed into another prime (114242129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57124064 + 57124065.

It is an arithmetic number, because the mean of its divisors is an integer number (57124065).

Almost surely, 2114248129 is an apocalyptic number.

It is an amenable number.

114248129 is a deficient number, since it is larger than the sum of its proper divisors (1).

114248129 is an equidigital number, since it uses as much as digits as its factorization.

114248129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4608, while the sum is 32.

The square root of 114248129 is about 10688.6916411692. The cubic root of 114248129 is about 485.2322959912.

The spelling of 114248129 in words is "one hundred fourteen million, two hundred forty-eight thousand, one hundred twenty-nine".