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22122110222101 = 291933952494233
BaseRepresentation
bin1010000011110101101001…
…00001010111111100010101
32220022212000220020100122101
411001322310201113330111
510344422040204101401
6115014431313002101
74442161341212251
oct501726441277425
986285026210571
1022122110222101
117059a3055304a
1225934b5b53331
13c4614bc8bca6
14566a04401261
152856a8200101
hex141eb4857f15

22122110222101 has 8 divisors (see below), whose sum is σ = 23003516441880. Its totient is φ = 21248608991232.

The previous prime is 22122110222059. The next prime is 22122110222119. The reversal of 22122110222101 is 10122201122122.

It can be written as a sum of positive squares in 4 ways, for example, as 49722310225 + 22072387911876 = 222985^2 + 4698126^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22122110222101 - 223 = 22122101833493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122110222131) 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 in 7 ways as a sum of consecutive naturals, for example, 1976241520 + ... + 1976252713.

It is an arithmetic number, because the mean of its divisors is an integer number (2875439555235).

Almost surely, 222122110222101 is an apocalyptic number.

It is an amenable number.

22122110222101 is a deficient number, since it is larger than the sum of its proper divisors (881406219779).

22122110222101 is a wasteful number, since it uses less digits than its factorization.

22122110222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952494455.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 22122110222101 its reverse (10122201122122), we get a palindrome (32244311344223).

The spelling of 22122110222101 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred ten million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 29 193 5597 3952494233 114622332757 762831386969 22122110222101