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221022022101100 = 225211200929111001
BaseRepresentation
bin110010010000010010110011…
…000111010110100001101100
31001222120111110201222122012021
4302100102303013112201230
5212432211100124213400
62102024040520115524
764361212515014023
oct6220226307264154
91058514421878167
10221022022101100
1164473a05497830
1220957670005ba4
13964339712acac
143c81746d7d8ba
151a84453bd371a
hexc904b31d686c

221022022101100 has 36 divisors (see below), whose sum is σ = 523219405049208. Its totient is φ = 80371644400000.

The previous prime is 221022022101091. The next prime is 221022022101109. The reversal of 221022022101100 is 1101220220122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221022022101091) and next prime (221022022101109).

It is not an unprimeable number, because it can be changed into a prime (221022022101109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100464554401 + ... + 100464556600.

It is an arithmetic number, because the mean of its divisors is an integer number (14533872362478).

Almost surely, 2221022022101100 is an apocalyptic number.

221022022101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022022101100 is an abundant number, since it is smaller than the sum of its proper divisors (302197382948108).

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

221022022101100 is a wasteful number, since it uses less digits than its factorization.

221022022101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200929111026 (or 200929111019 counting only the distinct ones).

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

Adding to 221022022101100 its reverse (1101220220122), we get a palindrome (222123242321222).

The spelling of 221022022101100 in words is "two hundred twenty-one trillion, twenty-two billion, twenty-two million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 200929111001 401858222002 803716444004 1004645555005 2009291110010 2210220221011 4018582220020 4420440442022 5023227775025 8840880884044 10046455550050 11051101105055 20092911100100 22102202210110 44204404420220 55255505525275 110511011050550 221022022101100