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220021020009 = 3471494795437
BaseRepresentation
bin1100110011101001000…
…1100101010101101001
3210000220122100212210000
43030322101211111221
512101100340120014
6245024250013213
721616216545510
oct3147221452551
9700818325700
10220021020009
118534614792a
1236784717209
131799517658b
14a9130b9677
155acae93509
hex333a465569

220021020009 has 80 divisors (see below), whose sum is σ = 379006848000. Its totient is φ = 124598860416.

The previous prime is 220021019951. The next prime is 220021020017. The reversal of 220021020009 is 900020120022.

220021020009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220021020009 - 28 = 220021019753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220021019973 and 220021020000.

It is not an unprimeable number, because it can be changed into a prime (220021020209) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 40464639 + ... + 40470075.

It is an arithmetic number, because the mean of its divisors is an integer number (4737585600).

Almost surely, 2220021020009 is an apocalyptic number.

It is an amenable number.

220021020009 is a deficient number, since it is larger than the sum of its proper divisors (158985827991).

220021020009 is a wasteful number, since it uses less digits than its factorization.

220021020009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 220021020009 in words is "two hundred twenty billion, twenty-one million, twenty thousand, nine".

Divisors: 1 3 7 9 21 27 63 81 149 189 447 479 567 1043 1341 1437 3129 3353 4023 4311 5437 9387 10059 12069 12933 16311 28161 30177 38059 38799 48933 71371 84483 90531 114177 146799 214113 271593 342531 440397 499597 642339 810113 1027593 1498791 1927017 2430339 2604323 3082779 4496373 5670791 5781051 7291017 7812969 13489119 17012373 18230261 21873051 23438907 40467357 51037119 54690783 65619153 70316721 153111357 164072349 210950163 388044127 459334071 492217047 1164132381 1476651141 2716308889 3492397143 8148926667 10477191429 24446780001 31431574287 73340340003 220021020009