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22203120100 = 2252724531249
BaseRepresentation
bin10100101011011010…
…001011100111100100
32010022101002100212111
4110223122023213210
5330432444320400
614111105530404
71414133256400
oct245332134744
963271070774
1022203120100
11946409a837
124377943a04
13212ac5c4b5
141108b36100
1589e3a23ba
hex52b68b9e4

22203120100 has 54 divisors (see below), whose sum is σ = 56047031250. Its totient is φ = 7612496640.

The previous prime is 22203120077. The next prime is 22203120101. The reversal of 22203120100 is 102130222.

It can be written as a sum of positive squares in 3 ways, for example, as 197177764 + 22005942336 = 14042^2 + 148344^2 .

It is not an unprimeable number, because it can be changed into a prime (22203120101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2260725 + ... + 2270524.

Almost surely, 222203120100 is an apocalyptic number.

22203120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22203120100 is an abundant number, since it is smaller than the sum of its proper divisors (33843911150).

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

22203120100 is a wasteful number, since it uses less digits than its factorization.

22203120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531277 (or 4531263 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22203120100 its reverse (102130222), we get a palindrome (22305250322).

The spelling of 22203120100 in words is "twenty-two billion, two hundred three million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 4531249 9062498 18124996 22656245 31718743 45312490 63437486 90624980 113281225 126874972 158593715 222031201 226562450 317187430 444062402 453124900 634374860 792968575 888124804 1110156005 1585937150 2220312010 3171874300 4440624020 5550780025 11101560050 22203120100