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57612101 is a prime number
BaseRepresentation
bin1101101111000…
…1011101000101
311000101222221112
43123301131011
5104222041401
65414454405
71266460211
oct333613505
9130358845
1057612101
112a57a908
1217364405
13bc22101
147919941
1550d03bb
hex36f1745

57612101 has 2 divisors, whose sum is σ = 57612102. Its totient is φ = 57612100.

The previous prime is 57612091. The next prime is 57612109. The reversal of 57612101 is 10121675.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39753025 + 17859076 = 6305^2 + 4226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57612101 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57612109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28806050 + 28806051.

It is an arithmetic number, because the mean of its divisors is an integer number (28806051).

Almost surely, 257612101 is an apocalyptic number.

It is an amenable number.

57612101 is a deficient number, since it is larger than the sum of its proper divisors (1).

57612101 is an equidigital number, since it uses as much as digits as its factorization.

57612101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 57612101 is about 7590.2635659113. The cubic root of 57612101 is about 386.2227968260. Note that the first 3 decimals are identical.

Adding to 57612101 its reverse (10121675), we get a palindrome (67733776).

The spelling of 57612101 in words is "fifty-seven million, six hundred twelve thousand, one hundred one".