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20112011222220 = 223251731632077949
BaseRepresentation
bin1001001001010101100010…
…10010001101110011001100
32122012200121122100011020200
410210222301102031303030
510114003344333102340
6110435155211213500
74144021246503651
oct444526122156314
978180548304220
1020112011222220
11645450201a175
122309a13a47290
13b2b729386c58
144d75d85bbc28
1524d25d80b330
hex124ab148dccc

20112011222220 has 144 divisors (see below), whose sum is σ = 64615500986400. Its totient is φ = 5046122170368.

The previous prime is 20112011222197. The next prime is 20112011222273. The reversal of 20112011222220 is 2222211021102.

It is a happy number.

20112011222220 is a `hidden beast` number, since 20 + 1 + 1 + 201 + 1 + 222 + 220 = 666.

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 = 20112011222193 and 20112011222202.

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, 8639806 + ... + 10717754.

It is an arithmetic number, because the mean of its divisors is an integer number (448718756850).

Almost surely, 220112011222220 is an apocalyptic number.

20112011222220 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 20112011222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32307750493200).

20112011222220 is an abundant number, since it is smaller than the sum of its proper divisors (44503489764180).

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

20112011222220 is a wasteful number, since it uses less digits than its factorization.

20112011222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081144 (or 2081139 counting only the distinct ones).

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

Adding to 20112011222220 its reverse (2222211021102), we get a palindrome (22334222243322).

The spelling of 20112011222220 in words is "twenty trillion, one hundred twelve billion, eleven million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 3163 6326 9489 12652 15815 18978 28467 31630 37956 47445 53771 56934 63260 94890 107542 113868 142335 161313 189780 215084 268855 284670 322626 483939 537710 569340 645252 806565 967878 1075420 1613130 1935756 2077949 2419695 3226260 4155898 4839390 6233847 8311796 9678780 10389745 12467694 18701541 20779490 24935388 31169235 35325133 37403082 41558980 62338470 70650266 74806164 93507705 105975399 124676940 141300532 176625665 187015410 211950798 317926197 353251330 374030820 423901596 529876995 635852394 706502660 1059753990 1271704788 1589630985 2119507980 3179261970 6358523940 6572552687 13145105374 19717658061 26290210748 32862763435 39435316122 59152974183 65725526870 78870632244 98588290305 111733395679 118305948366 131451053740 197176580610 223466791358 236611896732 295764870915 335200187037 394353161220 446933582716 558666978395 591529741830 670400374074 1005600561111 1117333956790 1183059483660 1340800748148 1676000935185 2011201122222 2234667913580 3352001870370 4022402244444 5028002805555 6704003740740 10056005611110 20112011222220