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304303120020 = 223258918995201
BaseRepresentation
bin1000110110110011110…
…00010001111010010100
31002002110102000011200200
410123121320101322110
514441203044320040
6351443411540500
730661625561634
oct4333170217224
91062412004620
10304303120020
111080661a6039
124ab865ba730
13229074a1283
1410a2a83c6c4
157db035c630
hex46d9e11e94

304303120020 has 72 divisors (see below), whose sum is σ = 933424226280. Its totient is φ = 80235724800.

The previous prime is 304303120019. The next prime is 304303120039. The reversal of 304303120020 is 20021303403.

304303120020 is a `hidden beast` number, since 3 + 0 + 430 + 31 + 200 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11782234116 + 292520885904 = 108546^2 + 540852^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 304303119975 and 304303120002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9481581 + ... + 9513620.

It is an arithmetic number, because the mean of its divisors is an integer number (12964225365).

Almost surely, 2304303120020 is an apocalyptic number.

304303120020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

304303120020 is an abundant number, since it is smaller than the sum of its proper divisors (629121106260).

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

304303120020 is a wasteful number, since it uses less digits than its factorization.

304303120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18995305 (or 18995300 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 304303120020 its reverse (20021303403), we get a palindrome (324324423423).

The spelling of 304303120020 in words is "three hundred four billion, three hundred three million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 4005 5340 8010 16020 18995201 37990402 56985603 75980804 94976005 113971206 170956809 189952010 227942412 284928015 341913618 379904020 569856030 683827236 854784045 1139712060 1690572889 1709568090 3381145778 3419136180 5071718667 6762291556 8452864445 10143437334 15215156001 16905728890 20286874668 25358593335 30430312002 33811457780 50717186670 60860624004 76075780005 101434373340 152151560010 304303120020