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82857040213 is a prime number
BaseRepresentation
bin100110100101010101…
…0100001100101010101
321220212110010202101011
41031022222201211111
52324142400241323
6102021453532221
75662163135623
oct1151252414525
9256773122334
1082857040213
1132159703742
12140847a4071
137a76013a5c
1440203aa513
15224e22420d
hex134aaa1955

82857040213 has 2 divisors, whose sum is σ = 82857040214. Its totient is φ = 82857040212.

The previous prime is 82857040181. The next prime is 82857040229. The reversal of 82857040213 is 31204075828.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79094812644 + 3762227569 = 281238^2 + 61337^2 .

It is a cyclic number.

It is not a de Polignac number, because 82857040213 - 25 = 82857040181 is a prime.

It is a super-2 number, since 2×828570402132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82857040613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41428520106 + 41428520107.

It is an arithmetic number, because the mean of its divisors is an integer number (41428520107).

Almost surely, 282857040213 is an apocalyptic number.

It is an amenable number.

82857040213 is a deficient number, since it is larger than the sum of its proper divisors (1).

82857040213 is an equidigital number, since it uses as much as digits as its factorization.

82857040213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 82857040213 in words is "eighty-two billion, eight hundred fifty-seven million, forty thousand, two hundred thirteen".