Search a number
-
+
20303102103300 = 22325222559002337
BaseRepresentation
bin1001001110111001011110…
…01100000100111100000100
32122212221212002112201010200
410213130233030010330010
510130121223114301200
6111103041044050500
74163564540262222
oct447345714047404
978787762481120
1020303102103300
116518551922475
12233aa63993a30
13b437609c5b13
14502965383b12
152531e4a56800
hex12772f304f04

20303102103300 has 54 divisors (see below), whose sum is σ = 63638945595498. Its totient is φ = 5414160560640.

The previous prime is 20303102103283. The next prime is 20303102103301. The reversal of 20303102103300 is 330120130302.

20303102103300 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 310 + 21 + 0 + 330 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 882352120896 + 19420749982404 = 939336^2 + 4406898^2 .

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 (20303102103301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11279500269 + ... + 11279502068.

Almost surely, 220303102103300 is an apocalyptic number.

20303102103300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20303102103300 is an abundant number, since it is smaller than the sum of its proper divisors (43335843492198).

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

20303102103300 is a wasteful number, since it uses less digits than its factorization.

20303102103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22559002357 (or 22559002347 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20303102103300 its reverse (330120130302), we get a palindrome (20633222233602).

The spelling of 20303102103300 in words is "twenty trillion, three hundred three billion, one hundred two million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 22559002337 45118004674 67677007011 90236009348 112795011685 135354014022 203031021033 225590023370 270708028044 338385035055 406062042066 451180046740 563975058425 676770070110 812124084132 1015155105165 1127950116850 1353540140220 1691925175275 2030310210330 2255900233700 3383850350550 4060620420660 5075775525825 6767700701100 10151551051650 20303102103300