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2122022110193 is a prime number
BaseRepresentation
bin11110111000010010010…
…111111100001111110001
321111212022100222022011122
4132320102113330033301
5234231400130011233
64302502110152025
7306211454220326
oct36702227741761
97455270868148
102122022110193
11748a43184257
122a3318ab2615
1312514b66783b
14749c65a8b4d
153a2ea761d98
hex1ee125fc3f1

2122022110193 has 2 divisors, whose sum is σ = 2122022110194. Its totient is φ = 2122022110192.

The previous prime is 2122022110189. The next prime is 2122022110261. The reversal of 2122022110193 is 3910112202212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1910111956624 + 211910153569 = 1382068^2 + 460337^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122022110193 - 22 = 2122022110189 is a prime.

It is a super-2 number, since 2×21220221101932 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2122022110093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061011055096 + 1061011055097.

It is an arithmetic number, because the mean of its divisors is an integer number (1061011055097).

Almost surely, 22122022110193 is an apocalyptic number.

It is an amenable number.

2122022110193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122022110193 is an equidigital number, since it uses as much as digits as its factorization.

2122022110193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 2122022110193 in words is "two trillion, one hundred twenty-two billion, twenty-two million, one hundred ten thousand, one hundred ninety-three".