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20303043300 = 22325237609701
BaseRepresentation
bin10010111010001001…
…111101101011100100
31221101221202110111200
4102322021331223210
5313040034341200
613154352402500
71316062010031
oct227211755344
957357673450
1020303043300
1186795a1a31
123b27546430
131bb73cc9b7
14da864c388
157dc67b800
hex4ba27dae4

20303043300 has 108 divisors (see below), whose sum is σ = 65358834996. Its totient is φ = 5267808000.

The previous prime is 20303043287. The next prime is 20303043301. The reversal of 20303043300 is 334030302.

20303043300 is a `hidden beast` number, since 2 + 0 + 30 + 304 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 75377124 + 20227666176 = 8682^2 + 142224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20303043301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 271551 + ... + 338150.

Almost surely, 220303043300 is an apocalyptic number.

20303043300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20303043300 is an abundant number, since it is smaller than the sum of its proper divisors (45055791696).

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

20303043300 is a wasteful number, since it uses less digits than its factorization.

20303043300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609758 (or 609748 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 20303043300 its reverse (334030302), we get a palindrome (20637073602).

The spelling of 20303043300 in words is "twenty billion, three hundred three million, forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 609701 1219402 1829103 2438804 3048505 3658206 5487309 6097010 7316412 9145515 10974618 12194020 15242525 18291030 21949236 22558937 27436545 30485050 36582060 45117874 45727575 54873090 60970100 67676811 90235748 91455150 109746180 112794685 135353622 137182725 182910300 203030433 225589370 270707244 274365450 338384055 406060866 451178740 548730900 563973425 676768110 812121732 1015152165 1127946850 1353536220 1691920275 2030304330 2255893700 3383840550 4060608660 5075760825 6767681100 10151521650 20303043300