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20127122457097 is a prime number
BaseRepresentation
bin1001001001110001101011…
…11111000000001000001001
32122021010121202210102111111
410210320311333000020021
510114230321322111342
6110450134501330321
74145064600050215
oct444706577001011
978233552712444
1020127122457097
11645a956a06637
1223109307069a1
13b2cc96c7b456
144d822d4b9945
1524d845294217
hex124e35fc0209

20127122457097 has 2 divisors, whose sum is σ = 20127122457098. Its totient is φ = 20127122457096.

The previous prime is 20127122457041. The next prime is 20127122457109. The reversal of 20127122457097 is 79075422172102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12468780205456 + 7658342251641 = 3531116^2 + 2767371^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20127122457097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20127122457097.

It is not a weakly prime, because it can be changed into another prime (20127122457397) 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, 10063561228548 + 10063561228549.

It is an arithmetic number, because the mean of its divisors is an integer number (10063561228549).

Almost surely, 220127122457097 is an apocalyptic number.

It is an amenable number.

20127122457097 is a deficient number, since it is larger than the sum of its proper divisors (1).

20127122457097 is an equidigital number, since it uses as much as digits as its factorization.

20127122457097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 20127122457097 in words is "twenty trillion, one hundred twenty-seven billion, one hundred twenty-two million, four hundred fifty-seven thousand, ninety-seven".