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57148121 is a prime number
BaseRepresentation
bin1101101000000…
…0001011011001
310222112102111002
43122000023121
5104112214441
65400514345
71262515412
oct332001331
9128472432
1057148121
112a293258
121717b9b5
13babbb74
147838809
15503cb9b
hex36802d9

57148121 has 2 divisors, whose sum is σ = 57148122. Its totient is φ = 57148120.

The previous prime is 57148111. The next prime is 57148127. The reversal of 57148121 is 12184175.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46389721 + 10758400 = 6811^2 + 3280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57148121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (57148127) 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, 28574060 + 28574061.

It is an arithmetic number, because the mean of its divisors is an integer number (28574061).

Almost surely, 257148121 is an apocalyptic number.

It is an amenable number.

57148121 is a deficient number, since it is larger than the sum of its proper divisors (1).

57148121 is an equidigital number, since it uses as much as digits as its factorization.

57148121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2240, while the sum is 29.

The square root of 57148121 is about 7559.6376235902. The cubic root of 57148121 is about 385.1831837552.

The spelling of 57148121 in words is "fifty-seven million, one hundred forty-eight thousand, one hundred twenty-one".