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10202221411020 = 2233547401978779
BaseRepresentation
bin1001010001110110001111…
…0010000111101011001100
31100010022201100111022101000
42110131203302013223030
52314123122140123040
633410500311420300
72102041362104262
oct224354362075314
940108640438330
1010202221411020
1132838130191a1
121189313384690
135900b0764792
14273b0c262432
1512a5b3413130
hex94763c87acc

10202221411020 has 96 divisors (see below), whose sum is σ = 32415568819200. Its totient is φ = 2662707425472.

The previous prime is 10202221411013. The next prime is 10202221411061. The reversal of 10202221411020 is 2011412220201.

10202221411020 is a `hidden beast` number, since 10 + 2 + 0 + 2 + 221 + 411 + 0 + 20 = 666.

10202221411020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10202221410984 and 10202221411002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200964010 + ... + 201014769.

It is an arithmetic number, because the mean of its divisors is an integer number (337662175200).

Almost surely, 210202221411020 is an apocalyptic number.

10202221411020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202221411020 is an abundant number, since it is smaller than the sum of its proper divisors (22213347408180).

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

10202221411020 is a wasteful number, since it uses less digits than its factorization.

10202221411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401978844 (or 401978836 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10202221411020 its reverse (2011412220201), we get a palindrome (12213633631221).

The spelling of 10202221411020 in words is "ten trillion, two hundred two billion, two hundred twenty-one million, four hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 401978779 803957558 1205936337 1607915116 2009893895 2411872674 3617809011 4019787790 4823745348 6029681685 7235618022 8039575580 10853427033 12059363370 14471236044 18089045055 18893002613 21706854066 24118726740 36178090110 37786005226 43413708132 54267135165 56679007839 72356180220 75572010452 94465013065 108534270330 113358015678 170037023517 188930026130 217068540660 226716031356 283395039195 340074047034 377860052260 510111070551 566790078390 680148094068 850185117585 1020222141102 1133580156780 1700370235170 2040444282204 2550555352755 3400740470340 5101110705510 10202221411020