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971768222881 is a prime number
BaseRepresentation
bin11100010010000011110…
…01100101010010100001
310102220022012100112220021
432021001321211102201
5111410140131113011
62022231341313441
7130131215414641
oct16110171452241
93386265315807
10971768222881
11345140911995
12138403265881
1370839348991
1435068ba2521
151a427eba471
hexe241e654a1

971768222881 has 2 divisors, whose sum is σ = 971768222882. Its totient is φ = 971768222880.

The previous prime is 971768222857. The next prime is 971768222933. The reversal of 971768222881 is 188222867179.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 971752350625 + 15872256 = 985775^2 + 3984^2 .

It is a cyclic number.

It is not a de Polignac number, because 971768222881 - 225 = 971734668449 is a prime.

It is a super-2 number, since 2×9717682228812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (971768222681) 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, 485884111440 + 485884111441.

It is an arithmetic number, because the mean of its divisors is an integer number (485884111441).

Almost surely, 2971768222881 is an apocalyptic number.

It is an amenable number.

971768222881 is a deficient number, since it is larger than the sum of its proper divisors (1).

971768222881 is an equidigital number, since it uses as much as digits as its factorization.

971768222881 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10838016, while the sum is 61.

It can be divided in two parts, 971768 and 222881, that added together give a square (1194649 = 10932).

The spelling of 971768222881 in words is "nine hundred seventy-one billion, seven hundred sixty-eight million, two hundred twenty-two thousand, eight hundred eighty-one".