Search a number
-
+
22021122102100 = 22521120019201911
BaseRepresentation
bin1010000000111001100010…
…01010010001001101010100
32212222012100212021022120121
411000130301022101031110
510341243224224231400
6114500210331041324
74431654635312362
oct500346112211524
985865325238517
1022021122102100
117020118378850
122577a112a0244
13c39776841874
14561b84046632
15282c4737e21a
hex140731291354

22021122102100 has 36 divisors (see below), whose sum is σ = 52130001778848. Its totient is φ = 8007680764000.

The previous prime is 22021122102041. The next prime is 22021122102121. The reversal of 22021122102100 is 120122112022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10009599856 + ... + 10009602055.

It is an arithmetic number, because the mean of its divisors is an integer number (1448055604968).

Almost surely, 222021122102100 is an apocalyptic number.

22021122102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021122102100 is an abundant number, since it is smaller than the sum of its proper divisors (30108879676748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22021122102100 is a wasteful number, since it uses less digits than its factorization.

22021122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20019201936 (or 20019201929 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22021122102100 its reverse (120122112022), we get a palindrome (22141244214122).

The spelling of 22021122102100 in words is "twenty-two trillion, twenty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 20019201911 40038403822 80076807644 100096009555 200192019110 220211221021 400384038220 440422442042 500480047775 880844884084 1000960095550 1101056105105 2001920191100 2202112210210 4404224420420 5505280525525 11010561051050 22021122102100