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22220022101121 = 3313701400122571
BaseRepresentation
bin1010000110101100000001…
…00001100011010010000001
32220200012202112201011102000
411003112000201203102001
510403023101124213441
6115131423124214213
74452225601360425
oct503260041432201
986605675634360
1022220022101121
117097505223a29
1225aa48053a369
13c52453cac790
1456b651dc8b85
15287ed8e6c2b6
hex143580863481

22220022101121 has 64 divisors (see below), whose sum is σ = 35511765569280. Its totient is φ = 13650336000000.

The previous prime is 22220022101089. The next prime is 22220022101129. The reversal of 22220022101121 is 12110122002222.

It is a happy number.

22220022101121 is a `hidden beast` number, since 222 + 200 + 2 + 210 + 11 + 21 = 666.

It is not a de Polignac number, because 22220022101121 - 25 = 22220022101089 is a prime.

It is a super-3 number, since 3×222200221011213 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22220022101094 and 22220022101103.

It is not an unprimeable number, because it can be changed into a prime (22220022101129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 984438766 + ... + 984461336.

It is an arithmetic number, because the mean of its divisors is an integer number (554871337020).

Almost surely, 222220022101121 is an apocalyptic number.

It is an amenable number.

22220022101121 is a deficient number, since it is larger than the sum of its proper divisors (13291743468159).

22220022101121 is a wasteful number, since it uses less digits than its factorization.

22220022101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27295 (or 27289 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22220022101121 its reverse (12110122002222), we get a palindrome (34330144103343).

The spelling of 22220022101121 in words is "twenty-two trillion, two hundred twenty billion, twenty-two million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 701 2103 4001 6309 9113 12003 18927 22571 27339 36009 52013 67713 82017 108027 156039 203139 246051 293423 468117 609417 880269 1404351 2640807 2804701 7922421 8414103 15822271 25242309 36461113 47466813 75726927 90306571 109383339 142400439 205689523 270919713 328150017 427201317 617068569 812759139 984450051 1173985423 1851205707 2438277417 3521956269 5553617121 10565868807 31697606421 63304906271 189914718813 569744156439 822963781523 1709232469317 2468891344569 7406674033707 22220022101121