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30121021020 = 22355916352201
BaseRepresentation
bin11100000011010110…
…100100111001011100
32212202012000102000010
4130003112210321130
5443141440133040
621500514003220
72114266311546
oct340326447134
985665012003
1030121021020
1111857592a02
125a07576510
132ac048897c
14165a54c696
15bb4581e80
hex7035a4e5c

30121021020 has 96 divisors (see below), whose sum is σ = 86296170240. Its totient is φ = 7847539200.

The previous prime is 30121021019. The next prime is 30121021037. The reversal of 30121021020 is 2012012103.

It is a super-4 number, since 4×301210210204 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30121020987 and 30121021005.

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 31 ways as a sum of consecutive naturals, for example, 550920 + ... + 603120.

It is an arithmetic number, because the mean of its divisors is an integer number (898918440).

Almost surely, 230121021020 is an apocalyptic number.

30121021020 is a gapful number since it is divisible by the number (30) 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 30121021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43148085120).

30121021020 is an abundant number, since it is smaller than the sum of its proper divisors (56175149220).

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

30121021020 is a wasteful number, since it uses less digits than its factorization.

30121021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52435 (or 52433 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 30121021020 its reverse (2012012103), we get a palindrome (32133033123).

The spelling of 30121021020 in words is "thirty billion, one hundred twenty-one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 163 177 236 295 326 354 489 590 652 708 815 885 978 1180 1630 1770 1956 2445 3260 3540 4890 9617 9780 19234 28851 38468 48085 52201 57702 96170 104402 115404 144255 156603 192340 208804 261005 288510 313206 522010 577020 626412 783015 1044020 1566030 3079859 3132060 6159718 8508763 9239577 12319436 15399295 17017526 18479154 25526289 30798590 34035052 36958308 42543815 46197885 51052578 61597180 85087630 92395770 102105156 127631445 170175260 184791540 255262890 502017017 510525780 1004034034 1506051051 2008068068 2510085085 3012102102 5020170170 6024204204 7530255255 10040340340 15060510510 30121021020