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21010560060 = 22357210369383
BaseRepresentation
bin10011100100010100…
…111011010000111100
32000020021002001001010
4103210110323100330
5321012200410220
613352505115220
71342442546100
oct234424732074
960207061033
1021010560060
118a01a05826
1240a4488b10
131c9ab71579
1410345c1900
1582e8361e0
hex4e453b43c

21010560060 has 144 divisors (see below), whose sum is σ = 69099803136. Its totient is φ = 4755719808.

The previous prime is 21010560037. The next prime is 21010560091. The reversal of 21010560060 is 6006501012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268129 + ... + 337511.

It is an arithmetic number, because the mean of its divisors is an integer number (479859744).

Almost surely, 221010560060 is an apocalyptic number.

21010560060 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 21010560060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34549901568).

21010560060 is an abundant number, since it is smaller than the sum of its proper divisors (48089243076).

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

21010560060 is a wasteful number, since it uses less digits than its factorization.

21010560060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69512 (or 69503 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 21010560060 in words is "twenty-one billion, ten million, five hundred sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 103 105 140 147 196 206 210 245 294 309 412 420 490 515 588 618 721 735 980 1030 1236 1442 1470 1545 2060 2163 2884 2940 3090 3605 4326 5047 6180 7210 8652 10094 10815 14420 15141 20188 21630 25235 30282 43260 50470 60564 69383 75705 100940 138766 151410 208149 277532 302820 346915 416298 485681 693830 832596 971362 1040745 1387660 1457043 1942724 2081490 2428405 2914086 3399767 4162980 4856810 5828172 6799534 7146449 7285215 9713620 10199301 13599068 14292898 14570430 16998835 20398602 21439347 28585796 29140860 33997670 35732245 40797204 42878694 50025143 50996505 67995340 71464490 85757388 100050286 101993010 107196735 142928980 150075429 200100572 203986020 214393470 250125715 300150858 350176001 428786940 500251430 600301716 700352002 750377145 1000502860 1050528003 1400704004 1500754290 1750880005 2101056006 3001508580 3501760010 4202112012 5252640015 7003520020 10505280030 21010560060