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22022001000100 = 2252220220010001
BaseRepresentation
bin1010000000111011001011…
…00010111111111010100100
32212222021122010001221222101
411000131211202333322210
510341302024224000400
6114500433444541444
74432015466652253
oct500354542777244
985867563057871
1022022001000100
1170205294a7932
1225780176b1884
13c3988695a35a
14561c28a6c79a
15282c995dd56a
hex1407658bfea4

22022001000100 has 18 divisors (see below), whose sum is σ = 47787742170434. Its totient is φ = 8808800400000.

The previous prime is 22022001000089. The next prime is 22022001000227. The reversal of 22022001000100 is 100010022022.

It can be written as a sum of positive squares in 3 ways, for example, as 185202843904 + 21836798156196 = 430352^2 + 4672986^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 110110004901 + ... + 110110005100.

Almost surely, 222022001000100 is an apocalyptic number.

22022001000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022001000100 is an abundant number, since it is smaller than the sum of its proper divisors (25765741170334).

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

22022001000100 is a wasteful number, since it uses less digits than its factorization.

22022001000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220220010015 (or 220220010008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22022001000100 its reverse (100010022022), we get a palindrome (22122011022122).

The spelling of 22022001000100 in words is "twenty-two trillion, twenty-two billion, one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 220220010001 440440020002 880880040004 1101100050005 2202200100010 4404400200020 5505500250025 11011000500050 22022001000100