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22120122100229 is a prime number
BaseRepresentation
bin1010000011110001111100…
…00001010010101000000101
32220022122220100020022010222
411001320332001102220011
510344404002224201404
6115013502132354125
74442061150361466
oct501707601225005
986278810208128
1022120122100229
11705910028971a
122593040175945
13c45bc311330a
14566896358d6d
152855dd8d6dbe
hex141e3e052a05

22120122100229 has 2 divisors, whose sum is σ = 22120122100230. Its totient is φ = 22120122100228.

The previous prime is 22120122100187. The next prime is 22120122100277. The reversal of 22120122100229 is 92200122102122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16351469253025 + 5768652847204 = 4043695^2 + 2401802^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22120122100229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22120122100198 and 22120122100207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22120122100829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060061050114 + 11060061050115.

It is an arithmetic number, because the mean of its divisors is an integer number (11060061050115).

Almost surely, 222120122100229 is an apocalyptic number.

It is an amenable number.

22120122100229 is a deficient number, since it is larger than the sum of its proper divisors (1).

22120122100229 is an equidigital number, since it uses as much as digits as its factorization.

22120122100229 is an evil number, because the sum of its binary digits is even.

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

The spelling of 22120122100229 in words is "twenty-two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred thousand, two hundred twenty-nine".