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220202101201100 = 225243210312434967
BaseRepresentation
bin110010000100010111001100…
…000001010101100011001100
31001212200010010001011022202112
4302010113030001111203030
5212330242400401413400
62100155240533443152
764245035226242234
oct6204271401254314
91055603101138675
10220202101201100
1164188206520017
12208447861a04b8
1395b3c79cb0535
143c53ba5042cc4
151a6ce66a9c835
hexc845cc0558cc

220202101201100 has 72 divisors (see below), whose sum is σ = 488974534126848. Its totient is φ = 86028322766400.

The previous prime is 220202101201091. The next prime is 220202101201111. The reversal of 220202101201100 is 1102101202022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89215817 + ... + 91650783.

It is an arithmetic number, because the mean of its divisors is an integer number (6791312973984).

Almost surely, 2220202101201100 is an apocalyptic number.

220202101201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220202101201100 is an abundant number, since it is smaller than the sum of its proper divisors (268772432925748).

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

220202101201100 is a wasteful number, since it uses less digits than its factorization.

220202101201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456055 (or 2456048 counting only the distinct ones).

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

Adding to 220202101201100 its reverse (1102101202022), we get a palindrome (221304202403122).

The spelling of 220202101201100 in words is "two hundred twenty trillion, two hundred two billion, one hundred one million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 21031 42062 84124 105155 210310 420620 525775 904333 1051550 1808666 2103100 2434967 3617332 4521665 4869934 9043330 9739868 12174835 18086660 22608325 24349670 45216650 48699340 60874175 90433300 104703581 121748350 209407162 243496700 418814324 523517905 1047035810 2094071620 2617589525 5235179050 10470358100 51209790977 102419581954 204839163908 256048954885 512097909770 1024195819540 1280244774425 2202021012011 2560489548850 4404042024022 5120979097700 8808084048044 11010105060055 22020210120110 44040420240220 55050525300275 110101050600550 220202101201100