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22012120021100 = 22521173288794951
BaseRepresentation
bin1010000000101000110001…
…00110000011100001101100
32212221100010111021012222012
411000110120212003201230
510341121310211133400
6114452121153140352
74431215566013306
oct500243046034154
985840114235865
1022012120021100
117017318996090
12257611a55a6b8
13c38970813311
1456156c64c976
152828bbde0d35
hex14051898386c

22012120021100 has 144 divisors (see below), whose sum is σ = 52841362269696. Its totient is φ = 7891940160000.

The previous prime is 22012120021069. The next prime is 22012120021123. The reversal of 22012120021100 is 112002121022.

It is a super-2 number, since 2×220121200211002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231778625 + ... + 231873575.

Almost surely, 222012120021100 is an apocalyptic number.

22012120021100 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 22012120021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26420681134848).

22012120021100 is an abundant number, since it is smaller than the sum of its proper divisors (30829242248596).

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

22012120021100 is a wasteful number, since it uses less digits than its factorization.

22012120021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97936 (or 97929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22012120021100 its reverse (112002121022), we get a palindrome (22124122142122).

The spelling of 22012120021100 in words is "twenty-two trillion, twelve billion, one hundred twenty million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 220 275 292 365 550 730 803 1100 1460 1606 1825 2887 3212 3650 4015 5774 7300 8030 11548 14435 16060 20075 28870 31757 40150 57740 63514 72175 80300 94951 127028 144350 158785 189902 210751 288700 317570 379804 421502 474755 635140 793925 843004 949510 1044461 1053755 1587850 1899020 2088922 2107510 2318261 2373775 3175700 4177844 4215020 4636522 4747550 5222305 5268775 6931423 9273044 9495100 10444610 10537550 11591305 13862846 20889220 21075100 23182610 26111525 27725692 34657115 46365220 52223050 57956525 69314230 76245653 104446100 115913050 138628460 152491306 173285575 231826100 274123537 304982612 346571150 381228265 548247074 693142300 762456530 1096494148 1370617685 1524913060 1906141325 2741235370 3015358907 3812282650 5482470740 6030717814 6853088425 7624565300 12061435628 13706176850 15076794535 20011018201 27412353700 30153589070 40022036402 60307178140 75383972675 80044072804 100055091005 150767945350 200110182010 220121200211 301535890700 400220364020 440242400422 500275455025 880484800844 1000550910050 1100606001055 2001101820100 2201212002110 4402424004220 5503030005275 11006060010550 22012120021100