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114933037 is a prime number
BaseRepresentation
bin1101101100110…
…11110100101101
322000021012111011
412312123310231
5213410324122
615223225221
72563625512
oct666336455
9260235434
10114933037
115997098a
12325a8211
131aa7181b
141139b309
15a154377
hex6d9bd2d

114933037 has 2 divisors, whose sum is σ = 114933038. Its totient is φ = 114933036.

The previous prime is 114933031. The next prime is 114933043. The reversal of 114933037 is 730339411.

It is a balanced prime because it is at equal distance from previous prime (114933031) and next prime (114933043).

It can be written as a sum of positive squares in only one way, i.e., 104571076 + 10361961 = 10226^2 + 3219^2 .

It is a cyclic number.

It is not a de Polignac number, because 114933037 - 211 = 114930989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114933031) 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, 57466518 + 57466519.

It is an arithmetic number, because the mean of its divisors is an integer number (57466519).

Almost surely, 2114933037 is an apocalyptic number.

It is an amenable number.

114933037 is a deficient number, since it is larger than the sum of its proper divisors (1).

114933037 is an equidigital number, since it uses as much as digits as its factorization.

114933037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 114933037 is about 10720.6826741584. The cubic root of 114933037 is about 486.2000071520.

Adding to 114933037 its product of nonzero digits (6804), we get a square (114939841 = 107212).

The spelling of 114933037 in words is "one hundred fourteen million, nine hundred thirty-three thousand, thirty-seven".