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20242141300 = 22522331377673
BaseRepresentation
bin10010110110100001…
…101001000001110100
31221020201011022200001
4102312201221001310
5312423442010200
613144335201044
71314422235133
oct226641510164
957221138601
1020242141300
1186481853a7
123b0b076184
131ba78c8304
14da051791a
157d714b76a
hex4b6869074

20242141300 has 144 divisors (see below), whose sum is σ = 48598889472. Its totient is φ = 7291468800.

The previous prime is 20242141291. The next prime is 20242141301. The reversal of 20242141300 is 314124202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242141301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2634264 + ... + 2641936.

It is an arithmetic number, because the mean of its divisors is an integer number (337492288).

Almost surely, 220242141300 is an apocalyptic number.

20242141300 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 20242141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24299444736).

20242141300 is an abundant number, since it is smaller than the sum of its proper divisors (28356748172).

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

20242141300 is a wasteful number, since it uses less digits than its factorization.

20242141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20242141300 its reverse (314124202), we get a palindrome (20556265502).

The spelling of 20242141300 in words is "twenty billion, two hundred forty-two million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 31 37 46 50 62 74 92 100 115 124 148 155 185 230 310 370 460 575 620 713 740 775 851 925 1147 1150 1426 1550 1702 1850 2294 2300 2852 3100 3404 3565 3700 4255 4588 5735 7130 7673 8510 11470 14260 15346 17020 17825 21275 22940 26381 28675 30692 35650 38365 42550 52762 57350 71300 76730 85100 105524 114700 131905 153460 176479 191825 237863 263810 283901 352958 383650 475726 527620 567802 659525 705916 767300 882395 951452 1135604 1189315 1319050 1419505 1764790 2378630 2638100 2839010 3529580 4411975 4757260 5470849 5678020 5946575 6529723 7097525 8800931 8823950 10941698 11893150 13059446 14195050 17601862 17647900 21883396 23786300 26118892 27354245 28390100 32648615 35203724 44004655 54708490 65297230 88009310 109416980 130594460 136771225 163243075 176018620 202421413 220023275 273542450 326486150 404842826 440046550 547084900 652972300 809685652 880093100 1012107065 2024214130 4048428260 5060535325 10121070650 20242141300