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2112122200229 is a prime number
BaseRepresentation
bin11110101111000100010…
…010110010000010100101
321110220202102112202202122
4132233010102302002211
5234101111240401404
64254143500515325
7305411233324136
oct36570422620245
97426672482678
102112122200229
11744822a12388
122a141554bb45
13124231622b52
147432785bc8d
1539e1b5753be
hex1ebc44b20a5

2112122200229 has 2 divisors, whose sum is σ = 2112122200230. Its totient is φ = 2112122200228.

The previous prime is 2112122200219. The next prime is 2112122200301. The reversal of 2112122200229 is 9220022212112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1101393577729 + 1010728622500 = 1049473^2 + 1005350^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112122200229 - 28 = 2112122199973 is a prime.

It is a super-3 number, since 3×21121222002293 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2112122200198 and 2112122200207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112122200219) 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, 1056061100114 + 1056061100115.

It is an arithmetic number, because the mean of its divisors is an integer number (1056061100115).

Almost surely, 22112122200229 is an apocalyptic number.

It is an amenable number.

2112122200229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112122200229 is an equidigital number, since it uses as much as digits as its factorization.

2112122200229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 2112122200229 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred thousand, two hundred twenty-nine".