Search a number
-
+
22110222122029 is a prime number
BaseRepresentation
bin1010000011011111011111…
…11011110111110000101101
32220021201100101200022010201
411001233233323313300231
510344223213330401104
6115005143521433501
74441260626062336
oct501575773676055
986251311608121
1022110222122029
11705498aa80558
12259113879b891
13c44ca6076552
145661d75d128d
1528520e6d50a4
hex141befef7c2d

22110222122029 has 2 divisors, whose sum is σ = 22110222122030. Its totient is φ = 22110222122028.

The previous prime is 22110222122011. The next prime is 22110222122039. The reversal of 22110222122029 is 92022122201122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20659888449225 + 1450333672804 = 4545315^2 + 1204298^2 .

It is a cyclic number.

It is not a de Polignac number, because 22110222122029 - 27 = 22110222121901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22110222121988 and 22110222122006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22110222122039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11055111061014 + 11055111061015.

It is an arithmetic number, because the mean of its divisors is an integer number (11055111061015).

Almost surely, 222110222122029 is an apocalyptic number.

It is an amenable number.

22110222122029 is a deficient number, since it is larger than the sum of its proper divisors (1).

22110222122029 is an equidigital number, since it uses as much as digits as its factorization.

22110222122029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 22110222122029 in words is "twenty-two trillion, one hundred ten billion, two hundred twenty-two million, one hundred twenty-two thousand, twenty-nine".