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22012002000020 = 225171075771048627
BaseRepresentation
bin1010000000101000100011…
…00011110101110010010100
32212221022211021012010111002
411000110101203311302110
510341121040003000040
6114452101335402432
74431212633603444
oct500242143656224
985838737163432
1022012002000020
1170172683060aa
1225760a6b23418
13c38952230066
1456155aaca124
152828b187ba15
hex1405118f5c94

22012002000020 has 96 divisors (see below), whose sum is σ = 49487423029632. Its totient is φ = 8195188359168.

The previous prime is 22012002000017. The next prime is 22012002000067. The reversal of 22012002000020 is 2000020021022.

It is a junction number, because it is equal to n+sod(n) for n = 22012001999965 and 22012002000010.

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, 20466947 + ... + 21515573.

It is an arithmetic number, because the mean of its divisors is an integer number (515493989892).

Almost surely, 222012002000020 is an apocalyptic number.

22012002000020 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 22012002000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24743711514816).

22012002000020 is an abundant number, since it is smaller than the sum of its proper divisors (27475421029612).

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

22012002000020 is a wasteful number, since it uses less digits than its factorization.

22012002000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049337 (or 1049335 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22012002000020 its reverse (2000020021022), we get a palindrome (24012022021042).

The spelling of 22012002000020 in words is "twenty-two trillion, twelve billion, two million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 107 170 214 340 428 535 577 1070 1154 1819 2140 2308 2885 3638 5770 7276 9095 9809 11540 18190 19618 36380 39236 49045 61739 98090 123478 196180 246956 308695 617390 1048627 1049563 1234780 2097254 2099126 4194508 4198252 5243135 5247815 10486270 10495630 17826659 20972540 20991260 35653318 71306636 89133295 112203089 178266590 224406178 356533180 448812356 561015445 605057779 1122030890 1210115558 1907452513 2244061780 2420231116 3025288895 3814905026 6050577790 7629810052 9537262565 10285982243 12101155580 19074525130 20571964486 38149050260 41143928972 51429911215 64741182353 102859822430 129482364706 205719644860 258964729412 323705911765 647411823530 1100600100001 1294823647060 2201200200002 4402400400004 5503000500005 11006001000010 22012002000020