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2122112331133 is a prime number
BaseRepresentation
bin11110111000010111110…
…000000110110101111101
321111212112122202000000221
4132320113300012311331
5234232041224044013
64302515052021341
7306213631123204
oct36702760066575
97455478660027
102122112331133
11748a8a0a6613
122a3343161851
13125164266202
14749d457223b
153a30363408d
hex1ee17c06d7d

2122112331133 has 2 divisors, whose sum is σ = 2122112331134. Its totient is φ = 2122112331132.

The previous prime is 2122112331103. The next prime is 2122112331169. The reversal of 2122112331133 is 3311332112212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1754345283289 + 367767047844 = 1324517^2 + 606438^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122112331133 - 29 = 2122112330621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122112331098 and 2122112331107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122112331103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061056165566 + 1061056165567.

It is an arithmetic number, because the mean of its divisors is an integer number (1061056165567).

Almost surely, 22122112331133 is an apocalyptic number.

It is an amenable number.

2122112331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122112331133 is an equidigital number, since it uses as much as digits as its factorization.

2122112331133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 25.

Adding to 2122112331133 its reverse (3311332112212), we get a palindrome (5433444443345).

The spelling of 2122112331133 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, three hundred thirty-one thousand, one hundred thirty-three".