Search a number
-
+
257113870771 is a prime number
BaseRepresentation
bin1110111101110100101…
…1100101000110110011
3220120122201002221020111
43233131023211012303
513203032122331041
6314041054322151
724401343561532
oct3573513450663
9816581087214
10257113870771
119a05009369a
12419b6ab9357
131b326b53c94
14c631530319
156a4c627981
hex3bdd2e51b3

257113870771 has 2 divisors, whose sum is σ = 257113870772. Its totient is φ = 257113870770.

The previous prime is 257113870751. The next prime is 257113870807. The reversal of 257113870771 is 177078311752.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257113870771 - 221 = 257111773619 is a prime.

It is a super-2 number, since 2×2571138707712 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257113870711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128556935385 + 128556935386.

It is an arithmetic number, because the mean of its divisors is an integer number (128556935386).

Almost surely, 2257113870771 is an apocalyptic number.

257113870771 is a deficient number, since it is larger than the sum of its proper divisors (1).

257113870771 is an equidigital number, since it uses as much as digits as its factorization.

257113870771 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576240, while the sum is 49.

The spelling of 257113870771 in words is "two hundred fifty-seven billion, one hundred thirteen million, eight hundred seventy thousand, seven hundred seventy-one".