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305212120420 = 22531748140713
BaseRepresentation
bin1000111000100000000…
…11110101110101100100
31002011210202110011211011
410130100003311311210
520000033300323140
6352113522552004
731023304134604
oct4342003656544
91064722404734
10305212120420
11108492315539
124b19ab08604
1322a208c952c
1410ab545cc04
157e15065cea
hex47100f5d64

305212120420 has 24 divisors (see below), whose sum is σ = 642967376184. Its totient is φ = 121699719936.

The previous prime is 305212120379. The next prime is 305212120469. The reversal of 305212120420 is 24021212503.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31448766244 + 273763354176 = 177338^2 + 523224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 305212120391 and 305212120400.

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 7 ways as a sum of consecutive naturals, for example, 24064017 + ... + 24076696.

It is an arithmetic number, because the mean of its divisors is an integer number (26790307341).

Almost surely, 2305212120420 is an apocalyptic number.

It is an amenable number.

305212120420 is an abundant number, since it is smaller than the sum of its proper divisors (337755255764).

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

305212120420 is a wasteful number, since it uses less digits than its factorization.

305212120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48141039 (or 48141037 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 305212120420 its reverse (24021212503), we get a palindrome (329233332923).

The spelling of 305212120420 in words is "three hundred five billion, two hundred twelve million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 317 634 1268 1585 3170 6340 48140713 96281426 192562852 240703565 481407130 962814260 15260606021 30521212042 61042424084 76303030105 152606060210 305212120420