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220711307857 is a prime number
BaseRepresentation
bin1100110110001101101…
…0110100101001010001
3210002200202021010200121
43031203122310221101
512104004043322412
6245220545150241
721642301106515
oct3154332645121
9702622233617
10220711307857
118566a863357
123693792b381
1317a75195121
14a97aa46145
155b1b898107
hex33636b4a51

220711307857 has 2 divisors, whose sum is σ = 220711307858. Its totient is φ = 220711307856.

The previous prime is 220711307813. The next prime is 220711307881. The reversal of 220711307857 is 758703117022.

220711307857 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., 194023511361 + 26687796496 = 440481^2 + 163364^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220711307857 is a prime.

It is not a weakly prime, because it can be changed into another prime (220712307857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110355653928 + 110355653929.

It is an arithmetic number, because the mean of its divisors is an integer number (110355653929).

Almost surely, 2220711307857 is an apocalyptic number.

It is an amenable number.

220711307857 is a deficient number, since it is larger than the sum of its proper divisors (1).

220711307857 is an equidigital number, since it uses as much as digits as its factorization.

220711307857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 164640, while the sum is 43.

The spelling of 220711307857 in words is "two hundred twenty billion, seven hundred eleven million, three hundred seven thousand, eight hundred fifty-seven".