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54301319 is a prime number
BaseRepresentation
bin1100111100100…
…1001010000111
310210011210101222
43033021022013
5102400120234
65215510555
71226360612
oct317111207
9123153358
1054301319
1128719426
121622845b
13b333177
1472d7179
154b7942e
hex33c9287

54301319 has 2 divisors, whose sum is σ = 54301320. Its totient is φ = 54301318.

The previous prime is 54301307. The next prime is 54301327. The reversal of 54301319 is 91310345.

54301319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54301319 is a prime.

It is a super-2 number, since 2×543013192 = 5897266490279522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54301019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27150659 + 27150660.

It is an arithmetic number, because the mean of its divisors is an integer number (27150660).

Almost surely, 254301319 is an apocalyptic number.

54301319 is a deficient number, since it is larger than the sum of its proper divisors (1).

54301319 is an equidigital number, since it uses as much as digits as its factorization.

54301319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 54301319 is about 7368.9428685531. The cubic root of 54301319 is about 378.6780449816.

The spelling of 54301319 in words is "fifty-four million, three hundred one thousand, three hundred nineteen".