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22010011112220 = 22354316635129893
BaseRepresentation
bin1010000000100100110101…
…11001001101001100011100
32212221010200111222112211220
411000102122321031030130
510341103000321042340
6114451132020013340
74431112410413025
oct500223271151434
985833614875756
1022010011112220
11701643652268a
122575830231250
13c386c5926441
1456140c523c4c
152827e6bb8ed0
hex14049ae4d31c

22010011112220 has 96 divisors (see below), whose sum is σ = 63099173609472. Its totient is φ = 5729391698688.

The previous prime is 22010011112207. The next prime is 22010011112233. The reversal of 22010011112220 is 2221111001022.

It is an interprime number because it is at equal distance from previous prime (22010011112207) and next prime (22010011112233).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22010011112220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725594 + ... + 6855486.

It is an arithmetic number, because the mean of its divisors is an integer number (657283058432).

Almost surely, 222010011112220 is an apocalyptic number.

22010011112220 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 22010011112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31549586804736).

22010011112220 is an abundant number, since it is smaller than the sum of its proper divisors (41089162497252).

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

22010011112220 is a wasteful number, since it uses less digits than its factorization.

22010011112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131611 (or 5131609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22010011112220 its reverse (2221111001022), we get a palindrome (24231122113242).

The spelling of 22010011112220 in words is "twenty-two trillion, ten billion, eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1663 2580 3326 4989 6652 8315 9978 16630 19956 24945 33260 49890 71509 99780 143018 214527 286036 357545 429054 715090 858108 1072635 1430180 2145270 4290540 5129893 10259786 15389679 20519572 25649465 30779358 51298930 61558716 76948395 102597860 153896790 220585399 307793580 441170798 661756197 882341596 1102926995 1323512394 2205853990 2647024788 3308780985 4411707980 6617561970 8531012059 13235123940 17062024118 25593036177 34124048236 42655060295 51186072354 85310120590 102372144708 127965180885 170620241180 255930361770 366833518537 511860723540 733667037074 1100500555611 1467334074148 1834167592685 2201001111222 3668335185370 4402002222444 5502502778055 7336670370740 11005005556110 22010011112220