Search a number
-
+
57102413 is a prime number
BaseRepresentation
bin1101100111010…
…1000001001101
310222110002210012
43121311001031
5104104234123
65355523005
71262235224
oct331650115
9128402705
1057102413
112a261985
1217159465
13baa4114
147825cbb
15502e378
hex367504d

57102413 has 2 divisors, whose sum is σ = 57102414. Its totient is φ = 57102412.

The previous prime is 57102377. The next prime is 57102427. The reversal of 57102413 is 31420175.

57102413 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., 46199209 + 10903204 = 6797^2 + 3302^2 .

It is a cyclic number.

It is not a de Polignac number, because 57102413 - 210 = 57101389 is a prime.

It is equal to p3400169 and since 57102413 and 3400169 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57102443) 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, 28551206 + 28551207.

It is an arithmetic number, because the mean of its divisors is an integer number (28551207).

Almost surely, 257102413 is an apocalyptic number.

It is an amenable number.

57102413 is a deficient number, since it is larger than the sum of its proper divisors (1).

57102413 is an equidigital number, since it uses as much as digits as its factorization.

57102413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 57102413 is about 7556.6138580716. The cubic root of 57102413 is about 385.0804644322.

Adding to 57102413 its reverse (31420175), we get a palindrome (88522588).

The spelling of 57102413 in words is "fifty-seven million, one hundred two thousand, four hundred thirteen".