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57344101 is a prime number
BaseRepresentation
bin1101101011000…
…0000001100101
310222220101022121
43122300001211
5104140002401
65405025541
71264262653
oct332600145
9128811277
1057344101
112a407521
12172552b1
13bb5a129
147889dd3
15507aca1
hex36b0065

57344101 has 2 divisors, whose sum is σ = 57344102. Its totient is φ = 57344100.

The previous prime is 57344099. The next prime is 57344113. The reversal of 57344101 is 10144375.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52548001 + 4796100 = 7249^2 + 2190^2 .

It is a cyclic number.

It is not a de Polignac number, because 57344101 - 21 = 57344099 is a prime.

Together with 57344099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57344701) 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, 28672050 + 28672051.

It is an arithmetic number, because the mean of its divisors is an integer number (28672051).

Almost surely, 257344101 is an apocalyptic number.

It is an amenable number.

57344101 is a deficient number, since it is larger than the sum of its proper divisors (1).

57344101 is an equidigital number, since it uses as much as digits as its factorization.

57344101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 57344101 is about 7572.5887911599. The cubic root of 57344101 is about 385.6229886671.

Adding to 57344101 its reverse (10144375), we get a palindrome (67488476).

The spelling of 57344101 in words is "fifty-seven million, three hundred forty-four thousand, one hundred one".