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220010202012100 = 2252411373471128779
BaseRepresentation
bin110010000001100100011101…
…111100000001100111000100
31001211222202210020222110212011
4302001210131330001213010
5212314121343203341400
62055531142544104004
764225132622116063
oct6201443574014704
91054882706873764
10220010202012100
1164113891422045
122081354b605004
13959bb47070166
143c4879cb8c1da
151a67e848d88ba
hexc8191df019c4

220010202012100 has 144 divisors (see below), whose sum is σ = 494056548982080. Its totient is φ = 84985244108800.

The previous prime is 220010202012091. The next prime is 220010202012179. The reversal of 220010202012100 is 1210202010022.

It is a happy number.

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, 194345511 + ... + 195474289.

It is an arithmetic number, because the mean of its divisors is an integer number (3430948256820).

Almost surely, 2220010202012100 is an apocalyptic number.

220010202012100 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 220010202012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247028274491040).

220010202012100 is an abundant number, since it is smaller than the sum of its proper divisors (274046346969980).

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

220010202012100 is a wasteful number, since it uses less digits than its factorization.

220010202012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129318 (or 1129311 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220010202012100 its reverse (1210202010022), we get a palindrome (221220404022122).

The spelling of 220010202012100 in words is "two hundred twenty trillion, ten billion, two hundred two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 137 164 205 274 347 410 548 685 694 820 1025 1370 1388 1735 2050 2740 3425 3470 4100 5617 6850 6940 8675 11234 13700 14227 17350 22468 28085 28454 34700 47539 56170 56908 71135 95078 112340 140425 142270 190156 237695 280850 284540 355675 475390 561700 711350 950780 1128779 1188475 1422700 1949099 2257558 2376950 3898198 4515116 4753900 5643895 7796396 9745495 11287790 19490990 22575580 28219475 38981980 46279939 48727475 56438950 92559878 97454950 112877900 154642723 185119756 194909900 231399695 309285446 391686313 462799390 618570892 773213615 783372626 925598780 1156998475 1546427230 1566745252 1958431565 2313996950 3092854460 3866068075 3916863130 4627993900 6340351643 7732136150 7833726260 9792157825 12680703286 15464272300 16059138833 19584315650 25361406572 31701758215 32118277666 39168631300 53661024881 63403516430 64236555332 80295694165 107322049762 126807032860 158508791075 160591388330 214644099524 268305124405 317017582150 321182776660 401478470825 536610248810 634035164300 802956941650 1073220497620 1341525622025 1605913883300 2200102020121 2683051244050 4400204040242 5366102488100 8800408080484 11000510100605 22001020201210 44002040402420 55002550503025 110005101006050 220010202012100