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22020022101020 = 225371032833101977
BaseRepresentation
bin1010000000110111011111…
…00110000110010000011100
32212222002112012102110202212
411000123233212012100130
510341234001124213040
6114455505234135552
74431615450413216
oct500335746062034
985862465373685
1022020022101020
11701a703462749
122577764a215b8
13c3962c990558
14561abbd075b6
15282bd09e7d65
hex1406ef98641c

22020022101020 has 96 divisors (see below), whose sum is σ = 47970314141568. Its totient is φ = 8483672236032.

The previous prime is 22020022101001. The next prime is 22020022101031. The reversal of 22020022101020 is 2010122002022.

It is a junction number, because it is equal to n+sod(n) for n = 22020022100986 and 22020022101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215880272 + ... + 215982248.

It is an arithmetic number, because the mean of its divisors is an integer number (499690772308).

Almost surely, 222020022101020 is an apocalyptic number.

22020022101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22020022101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23985157070784).

22020022101020 is an abundant number, since it is smaller than the sum of its proper divisors (25950292040548).

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

22020022101020 is a wasteful number, since it uses less digits than its factorization.

22020022101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104959 (or 104957 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22020022101020 its reverse (2010122002022), we get a palindrome (24030144103042).

The spelling of 22020022101020 in words is "twenty-two trillion, twenty billion, twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 103 148 185 206 370 412 515 740 1030 2060 2833 3811 5666 7622 11332 14165 15244 19055 28330 38110 56660 76220 101977 104821 203954 209642 291799 407908 419284 509885 524105 583598 1019770 1048210 1167196 1458995 2039540 2096420 2917990 3773149 5835980 7546298 10503631 10796563 15092596 18865745 21007262 21593126 37731490 42014524 43186252 52518155 53982815 75462980 105036310 107965630 210072620 215931260 288900841 388634347 577801682 777268694 1155603364 1444504205 1554537388 1943171735 2889008410 3886343470 5778016820 7772686940 10689331117 21378662234 29756786623 42757324468 53446655585 59513573246 106893311170 119027146492 148783933115 213786622340 297567866230 595135732460 1101001105051 2202002210102 4404004420204 5505005525255 11010011050510 22020022101020