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12302002020 = 22357112662771
BaseRepresentation
bin10110111010100000…
…11010011101100100
31011202100101110020110
423131100122131210
5200143303031040
65352414333020
7613566202050
oct133520323544
934670343213
1012302002020
115243183220
122473aba170
1312108b3949
14849b92c60
154c0027980
hex2dd41a764

12302002020 has 96 divisors (see below), whose sum is σ = 42945186816. Its totient is φ = 2556259200.

The previous prime is 12302002003. The next prime is 12302002051. The reversal of 12302002020 is 2020020321.

12302002020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12302001987 and 12302002005.

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, 1326766 + ... + 1336005.

It is an arithmetic number, because the mean of its divisors is an integer number (447345696).

Almost surely, 212302002020 is an apocalyptic number.

12302002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302002020 is an abundant number, since it is smaller than the sum of its proper divisors (30643184796).

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

12302002020 is a wasteful number, since it uses less digits than its factorization.

12302002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662801 (or 2662799 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12302002020 its reverse (2020020321), we get a palindrome (14322022341).

The spelling of 12302002020 in words is "twelve billion, three hundred two million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 2662771 5325542 7988313 10651084 13313855 15976626 18639397 26627710 29290481 31953252 37278794 39941565 53255420 55918191 58580962 74557588 79883130 87871443 93196985 111836382 117161924 146452405 159766260 175742886 186393970 205033367 223672764 279590955 292904810 351485772 372787940 410066734 439357215 559181910 585809620 615100101 820133468 878714430 1025166835 1118363820 1230200202 1757428860 2050333670 2460400404 3075500505 4100667340 6151001010 12302002020