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22120010101020 = 22351338972902281
BaseRepresentation
bin1010000011110001101110…
…10110000011000100011100
32220022122121112111011010010
411001320313112003010130
510344403240041213040
6115013443052043220
74442055320402256
oct501706726030434
986278545434103
1022120010101020
117059053041a97
12259300a763510
13c45ba5b5acb0
14566885522cd6
152855d3b61e80
hex141e3758311c

22120010101020 has 96 divisors (see below), whose sum is σ = 66871805232960. Its totient is φ = 5430928250880.

The previous prime is 22120010100941. The next prime is 22120010101051. The reversal of 22120010101020 is 2010101002122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22120010100987 and 22120010101005.

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, 36147721 + ... + 36754560.

It is an arithmetic number, because the mean of its divisors is an integer number (696581304510).

Almost surely, 222120010101020 is an apocalyptic number.

22120010101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120010101020 is an abundant number, since it is smaller than the sum of its proper divisors (44751795131940).

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

22120010101020 is a wasteful number, since it uses less digits than its factorization.

22120010101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72902695 (or 72902693 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22120010101020 its reverse (2010101002122), we get a palindrome (24130111103142).

The spelling of 22120010101020 in words is "twenty-two trillion, one hundred twenty billion, ten million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 389 390 778 780 1167 1556 1945 2334 3890 4668 5057 5835 7780 10114 11670 15171 20228 23340 25285 30342 50570 60684 75855 101140 151710 303420 72902281 145804562 218706843 291609124 364511405 437413686 729022810 874827372 947729653 1093534215 1458045620 1895459306 2187068430 2843188959 3790918612 4374136860 4738648265 5686377918 9477296530 11372755836 14215944795 18954593060 28358987309 28431889590 56717974618 56863779180 85076961927 113435949236 141794936545 170153923854 283589873090 340307847708 368666835017 425384809635 567179746180 737333670034 850769619270 1106000505051 1474667340068 1701539238540 1843334175085 2212001010102 3686668350170 4424002020204 5530002525255 7373336700340 11060005050510 22120010101020