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2122022211073 is a prime number
BaseRepresentation
bin11110111000010010011…
…000010100111000000001
321111212022101011102112221
4132320102120110320001
5234231400141223243
64302502112251041
7306211455120412
oct36702230247001
97455271142487
102122022211073
11748a43243026
122a3318b40a81
1312514b6a172b
14749c65d3809
153a2ea781bed
hex1ee12614e01

2122022211073 has 2 divisors, whose sum is σ = 2122022211074. Its totient is φ = 2122022211072.

The previous prime is 2122022211037. The next prime is 2122022211083. The reversal of 2122022211073 is 3701122202212.

Together with previous prime (2122022211037) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2110081622544 + 11940588529 = 1452612^2 + 109273^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122022211073 is a prime.

It is a super-2 number, since 2×21220222110732 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2122022211083) 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, 1061011105536 + 1061011105537.

It is an arithmetic number, because the mean of its divisors is an integer number (1061011105537).

Almost surely, 22122022211073 is an apocalyptic number.

It is an amenable number.

2122022211073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122022211073 is an equidigital number, since it uses as much as digits as its factorization.

2122022211073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 2122022211073 its reverse (3701122202212), we get a palindrome (5823144413285).

The spelling of 2122022211073 in words is "two trillion, one hundred twenty-two billion, twenty-two million, two hundred eleven thousand, seventy-three".