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21000310020 = 22335337115399
BaseRepresentation
bin10011100011101101…
…110100110100000100
32000012112210021122000
4103203231310310010
5321002034410040
613351501305300
71342256455434
oct234355646404
960175707560
1021000310020
1189a7144818
1240a0b65230
131c989c2c61
1410330b42c4
1582d9ae130
hex4e3b74d04

21000310020 has 96 divisors (see below), whose sum is σ = 65528736000. Its totient is φ = 5583416832.

The previous prime is 21000309991. The next prime is 21000310043. The reversal of 21000310020 is 2001300012.

It is a happy number.

It is a super-3 number, since 3×210003100203 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21000309984 and 21000310011.

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 31 ways as a sum of consecutive naturals, for example, 124281 + ... + 239679.

It is an arithmetic number, because the mean of its divisors is an integer number (682591000).

Almost surely, 221000310020 is an apocalyptic number.

21000310020 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 21000310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32764368000).

21000310020 is an abundant number, since it is smaller than the sum of its proper divisors (44528425980).

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

21000310020 is a wasteful number, since it uses less digits than its factorization.

21000310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115754 (or 115746 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 21000310020 its reverse (2001300012), we get a palindrome (23001610032).

The spelling of 21000310020 in words is "twenty-one billion, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 337 540 674 1011 1348 1685 2022 3033 3370 4044 5055 6066 6740 9099 10110 12132 15165 18198 20220 30330 36396 45495 60660 90990 115399 181980 230798 346197 461596 576995 692394 1038591 1153990 1384788 1730985 2077182 2307980 3115773 3461970 4154364 5192955 6231546 6923940 10385910 12463092 15578865 20771820 31157730 38889463 62315460 77778926 116668389 155557852 194447315 233336778 350005167 388894630 466673556 583341945 700010334 777789260 1050015501 1166683890 1400020668 1750025835 2100031002 2333367780 3500051670 4200062004 5250077505 7000103340 10500155010 21000310020