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221022022021100 = 225263116333214457
BaseRepresentation
bin110010010000010010110011…
…000111000010111111101100
31001222120111110201211120110022
4302100102303013002333230
5212432211100114133400
62102024040514301312
764361212514231546
oct6220226307027754
91058514421746408
10221022022021100
1164473a05442713
122095766bb87838
139643397100761
143c81746d5c696
151a84453bb9b85
hexc904b31c2fec

221022022021100 has 72 divisors (see below), whose sum is σ = 480409530967968. Its totient is φ = 88262883878400.

The previous prime is 221022022021093. The next prime is 221022022021127. The reversal of 221022022021100 is 1120220220122.

It is a happy number.

It is a super-2 number, since 2×2210220220211002 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1030505072 + ... + 1030719528.

Almost surely, 2221022022021100 is an apocalyptic number.

221022022021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022022021100 is an abundant number, since it is smaller than the sum of its proper divisors (259387508946868).

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

221022022021100 is a wasteful number, since it uses less digits than its factorization.

221022022021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231435 (or 231428 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221022022021100 its reverse (1120220220122), we get a palindrome (222142242241222).

The spelling of 221022022021100 in words is "two hundred twenty-one trillion, twenty-two billion, twenty-two million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 631 1262 2524 3155 6310 12620 15775 16333 31550 32666 63100 65332 81665 163330 214457 326660 408325 428914 816650 857828 1072285 1633300 2144570 4289140 5361425 10306123 10722850 20612246 21445700 41224492 51530615 103061230 135322367 206122460 257653075 270644734 515306150 541289468 676611835 1030612300 1353223670 2706447340 3383059175 3502726181 6766118350 7005452362 13532236700 14010904724 17513630905 35027261810 70054523620 87568154525 175136309050 350272618100 2210220220211 4420440440422 8840880880844 11051101101055 22102202202110 44204404404220 55255505505275 110511011010550 221022022021100