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20303441300 = 2252613328433
BaseRepresentation
bin10010111010001011…
…011110110110010100
31221101222111200110102
4102322023132312110
5313040140110200
613154405113232
71316065255262
oct227213366624
957358450412
1020303441300
118679843a5a
123b276b8818
131bb750bbbc
14da8713432
157dc7096d5
hex4ba2ded94

20303441300 has 36 divisors (see below), whose sum is σ = 44780751036. Its totient is φ = 7988236800.

The previous prime is 20303441299. The next prime is 20303441317. The reversal of 20303441300 is 314430302.

It can be written as a sum of positive squares in 6 ways, for example, as 10601585296 + 9701856004 = 102964^2 + 98498^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 1658117 + ... + 1670316.

It is an arithmetic number, because the mean of its divisors is an integer number (1243909751).

Almost surely, 220303441300 is an apocalyptic number.

20303441300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20303441300 is an abundant number, since it is smaller than the sum of its proper divisors (24477309736).

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

20303441300 is a wasteful number, since it uses less digits than its factorization.

20303441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328508 (or 3328501 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20303441300 its reverse (314430302), we get a palindrome (20617871602).

The spelling of 20303441300 in words is "twenty billion, three hundred three million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 3328433 6656866 13313732 16642165 33284330 66568660 83210825 166421650 203034413 332843300 406068826 812137652 1015172065 2030344130 4060688260 5075860325 10151720650 20303441300