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22201100120100 = 223521135411899917
BaseRepresentation
bin1010000110001000110001…
…01011111011000000100100
32220121101220211122221012010
411003010120223323000210
510402220323112320400
6115115013344354220
74450655646240126
oct503043053730044
986541824587163
1022201100120100
11708a485266590
1225a687b615970
13c50729a5a7c5
1456a778d5d216
1528777cb94450
hex143118afb024

22201100120100 has 144 divisors (see below), whose sum is σ = 70094571535296. Its totient is φ = 5380562112000.

The previous prime is 22201100120047. The next prime is 22201100120107. The reversal of 22201100120100 is 102100110222.

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

It is not an unprimeable number, because it can be changed into a prime (22201100120107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10735342 + ... + 12635258.

It is an arithmetic number, because the mean of its divisors is an integer number (486767857884).

Almost surely, 222201100120100 is an apocalyptic number.

22201100120100 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 22201100120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35047285767648).

22201100120100 is an abundant number, since it is smaller than the sum of its proper divisors (47893471415196).

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

22201100120100 is a wasteful number, since it uses less digits than its factorization.

22201100120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903486 (or 1903479 counting only the distinct ones).

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

Adding to 22201100120100 its reverse (102100110222), we get a palindrome (22303200230322).

The spelling of 22201100120100 in words is "twenty-two trillion, two hundred one billion, one hundred million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3541 7082 10623 14164 17705 21246 35410 38951 42492 53115 70820 77902 88525 106230 116853 155804 177050 194755 212460 233706 265575 354100 389510 467412 531150 584265 779020 973775 1062300 1168530 1899917 1947550 2337060 2921325 3799834 3895100 5699751 5842650 7599668 9499585 11399502 11685300 18999170 20899087 22799004 28498755 37998340 41798174 47497925 56997510 62697261 83596348 94995850 104495435 113995020 125394522 142493775 189991700 208990870 250789044 284987550 313486305 417981740 522477175 569975100 626972610 1044954350 1253945220 1567431525 2089908700 3134863050 6269726100 6727606097 13455212194 20182818291 26910424388 33638030485 40365636582 67276060970 74003667067 80731273164 100914091455 134552121940 148007334134 168190152425 201828182910 222011001201 296014668268 336380304850 370018335335 403656365820 444022002402 504570457275 672760609700 740036670670 888044004804 1009140914550 1110055006005 1480073341340 1850091676675 2018281829100 2220110012010 3700183353350 4440220024020 5550275030025 7400366706700 11100550060050 22201100120100