Search a number
-
+
20303265300 = 223523712011523
BaseRepresentation
bin10010111010001010…
…110011111000010100
31221101222011202000220
4102322022303320110
5313040113442200
613154401234340
71316063623203
oct227212637024
957358152026
1020303265300
1186797337aa
123b276329b0
131bb7479a66
14da86a923a
157dc6c24a0
hex4ba2b3e14

20303265300 has 144 divisors (see below), whose sum is σ = 60421674432. Its totient is φ = 5260032000.

The previous prime is 20303265299. The next prime is 20303265331. The reversal of 20303265300 is 356230302.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 13330339 + ... + 13331861.

Almost surely, 220303265300 is an apocalyptic number.

20303265300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20303265300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30210837216).

20303265300 is an abundant number, since it is smaller than the sum of its proper divisors (40118409132).

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

20303265300 is a wasteful number, since it uses less digits than its factorization.

20303265300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 20303265300 its reverse (356230302), we get a palindrome (20659495602).

The spelling of 20303265300 in words is "twenty billion, three hundred three million, two hundred sixty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1201 1523 1850 2220 2402 2775 3046 3603 3700 4569 4804 5550 6005 6092 7206 7615 9138 11100 12010 14412 15230 18015 18276 22845 24020 30025 30460 36030 38075 44437 45690 56351 60050 72060 76150 88874 90075 91380 112702 114225 120100 133311 152300 169053 177748 180150 222185 225404 228450 266622 281755 338106 360300 444370 456900 533244 563510 666555 676212 845265 888740 1110925 1127020 1333110 1408775 1690530 1829123 2221850 2666220 2817550 3332775 3381060 3658246 4226325 4443700 5487369 5635100 6665550 7316492 8452650 9145615 10974738 13331100 16905300 18291230 21949476 27436845 36582460 45728075 54873690 67677551 91456150 109747380 135355102 137184225 182912300 203032653 270710204 274368450 338387755 406065306 548736900 676775510 812130612 1015163265 1353551020 1691938775 2030326530 3383877550 4060653060 5075816325 6767755100 10151632650 20303265300