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114166529 is a prime number
BaseRepresentation
bin1101100111000…
…00101100000001
321221211021000222
412303200230001
5213211312104
615154552425
72554254011
oct663405401
9257737028
10114166529
1159498004
1232298715
131a863979
141123bc41
15a0521be
hex6ce0b01

114166529 has 2 divisors, whose sum is σ = 114166530. Its totient is φ = 114166528.

The previous prime is 114166517. The next prime is 114166537. The reversal of 114166529 is 925661411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86583025 + 27583504 = 9305^2 + 5252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114166529 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (114166589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57083264 + 57083265.

It is an arithmetic number, because the mean of its divisors is an integer number (57083265).

Almost surely, 2114166529 is an apocalyptic number.

It is an amenable number.

114166529 is a deficient number, since it is larger than the sum of its proper divisors (1).

114166529 is an equidigital number, since it uses as much as digits as its factorization.

114166529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 35.

The square root of 114166529 is about 10684.8738410896. The cubic root of 114166529 is about 485.1167451980.

The spelling of 114166529 in words is "one hundred fourteen million, one hundred sixty-six thousand, five hundred twenty-nine".