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2122222122029 is a prime number
BaseRepresentation
bin11110111000011110010…
…010111011010000101101
321111212211022022221211102
4132320132102323100231
5234232302330401104
64302534013132445
7306216433254242
oct36703622732055
97455738287742
102122222122029
11749036075099
122a3373a8a125
13125180c27339
1474a04d915c9
153a30d0bea1e
hex1ee1e4bb42d

2122222122029 has 2 divisors, whose sum is σ = 2122222122030. Its totient is φ = 2122222122028.

The previous prime is 2122222122001. The next prime is 2122222122113. The reversal of 2122222122029 is 9202212222212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2027064062500 + 95158059529 = 1423750^2 + 308477^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122222122029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122222121992 and 2122222122010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122222122529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061111061014 + 1061111061015.

It is an arithmetic number, because the mean of its divisors is an integer number (1061111061015).

Almost surely, 22122222122029 is an apocalyptic number.

It is an amenable number.

2122222122029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122222122029 is an equidigital number, since it uses as much as digits as its factorization.

2122222122029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 2122222122029 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-two thousand, twenty-nine".