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220202201220100 = 2252111923458086543
BaseRepresentation
bin110010000100010111010001…
…111110111000010000000100
31001212200010101000100211000221
4302010113101332320100010
5212330243102003020400
62100155254505314124
764245040552343641
oct6204272176702004
91055603330324027
10220202201220100
1164188257a24850
12208447b3795944
1395b3c9492c888
143c53bb443adc8
151a6ce70757c1a
hexc845d1fb8404

220202201220100 has 144 divisors (see below), whose sum is σ = 572571533076480. Its totient is φ = 72560908252800.

The previous prime is 220202201220091. The next prime is 220202201220139. The reversal of 220202201220100 is 1022102202022.

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, 228562572 + ... + 229523971.

It is an arithmetic number, because the mean of its divisors is an integer number (3976191201920).

Almost surely, 2220202201220100 is an apocalyptic number.

220202201220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220202201220100 is an abundant number, since it is smaller than the sum of its proper divisors (352369331856380).

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

220202201220100 is a wasteful number, since it uses less digits than its factorization.

220202201220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458086610 (or 458086603 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220202201220100 its reverse (1022102202022), we get a palindrome (221224303422122).

The spelling of 220202201220100 in words is "two hundred twenty trillion, two hundred two billion, two hundred one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 23 25 38 44 46 50 55 76 92 95 100 110 115 190 209 220 230 253 275 380 418 437 460 475 506 550 575 836 874 950 1012 1045 1100 1150 1265 1748 1900 2090 2185 2300 2530 4180 4370 4807 5060 5225 6325 8740 9614 10450 10925 12650 19228 20900 21850 24035 25300 43700 48070 96140 120175 240350 480700 458086543 916173086 1832346172 2290432715 4580865430 5038951973 8703644317 9161730860 10077903946 10535990489 11452163575 17407288634 20155807892 21071980978 22904327150 25194759865 34814577268 42143961956 43518221585 45808654300 50389519730 52679952445 87036443170 95740087487 100779039460 105359904890 115895895379 125973799325 174072886340 191480174974 200183819291 210719809780 217591107925 231791790758 251947598650 263399762225 382960349948 400367638582 435182215850 463583581516 478700437435 503895197300 526799524450 579479476895 800735277164 870364431700 957400874870 1000919096455 1053599048900 1158958953790 1914801749740 2001838192910 2202022012201 2317917907580 2393502187175 2897397384475 4003676385820 4404044024402 4787004374350 5004595482275 5794794768950 8808088048804 9574008748700 10009190964550 11010110061005 11589589537900 20018381929100 22020220122010 44040440244020 55050550305025 110101100610050 220202201220100