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22020121122021 = 321129431229145133
BaseRepresentation
bin1010000000110111101010…
…11111110101010011100101
32212222002210002202021001100
411000123311133311103211
510341234202001401041
6114455523132350313
74431621062160201
oct500336537652345
985862702667040
1022020121122021
11701a754345690
122577792015399
13c39647350569
14561acb121b01
15282bd95576b6
hex1406f57f54e5

22020121122021 has 96 divisors (see below), whose sum is σ = 36759771734400. Its totient is φ = 12575351093760.

The previous prime is 22020121121987. The next prime is 22020121122031. The reversal of 22020121122021 is 12022112102022.

It is a happy number.

22020121122021 is a `hidden beast` number, since 220 + 201 + 2 + 1 + 1 + 220 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22020121122021 is a prime.

It is a super-3 number, since 3×220201211220213 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22020121121985 and 22020121122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020121122031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151651171 + ... + 151796303.

It is an arithmetic number, because the mean of its divisors is an integer number (382914288900).

Almost surely, 222020121122021 is an apocalyptic number.

It is an amenable number.

22020121122021 is a deficient number, since it is larger than the sum of its proper divisors (14739650612379).

22020121122021 is a wasteful number, since it uses less digits than its factorization.

22020121122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146451 (or 146448 counting only the distinct ones).

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

Adding to 22020121122021 its reverse (12022112102022), we get a palindrome (34042233224043).

The spelling of 22020121122021 in words is "twenty-two trillion, twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 29 33 43 87 99 129 261 319 387 473 957 1229 1247 1419 2871 3687 3741 4257 11061 11223 13519 13717 35641 40557 41151 52847 106923 121671 123453 145133 158541 320769 392051 435399 475623 581317 1176153 1306197 1532563 1596463 1743951 3528459 4208857 4597689 4789389 5231853 6240719 12626571 13793067 14368167 16858193 18722157 37879713 46297427 50574579 56166471 68647909 138892281 151723737 178368457 180980851 205943727 416676843 535105371 542942553 617831181 1605316113 1628827659 1962053027 1990789361 5172685253 5886159081 5972368083 7669843651 15518055759 17658477243 17917104249 23009530953 46554167277 56899537783 69028592859 84368280161 170698613349 222425465879 253104840483 512095840047 667276397637 759314521449 2001829192911 2446680124669 7340040374007 22020121122021