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57377101 is a prime number
BaseRepresentation
bin1101101011100…
…0000101001101
310222222001120211
43122320011031
5104142031401
65405442421
71264461115
oct332700515
9128861524
1057377101
112a42a2a1
1217270411
13bb6c162
147898045
155085951
hex36b814d

57377101 has 2 divisors, whose sum is σ = 57377102. Its totient is φ = 57377100.

The previous prime is 57377071. The next prime is 57377113. The reversal of 57377101 is 10177375.

57377101 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 can be written as a sum of positive squares in only one way, i.e., 43494025 + 13883076 = 6595^2 + 3726^2 .

It is a cyclic number.

It is not a de Polignac number, because 57377101 - 211 = 57375053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57377161) 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, 28688550 + 28688551.

It is an arithmetic number, because the mean of its divisors is an integer number (28688551).

Almost surely, 257377101 is an apocalyptic number.

It is an amenable number.

57377101 is a deficient number, since it is larger than the sum of its proper divisors (1).

57377101 is an equidigital number, since it uses as much as digits as its factorization.

57377101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5145, while the sum is 31.

The square root of 57377101 is about 7574.7673891678. The cubic root of 57377101 is about 385.6969463954.

The spelling of 57377101 in words is "fifty-seven million, three hundred seventy-seven thousand, one hundred one".