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204024123130300 = 2252111929336617923
BaseRepresentation
bin101110011000111100010001…
…011000101000000110111100
3222202101111220221020202012221
4232120330101120220012330
5203220212401010132200
62001531215505535124
760655153652460604
oct5630742130500674
9882344827222187
10204024123130300
115a010165677840
121aa712aa0444a4
1389ac513a355c5
143854b6aa91c04
15188c207c5d91a
hexb98f116281bc

204024123130300 has 144 divisors (see below), whose sum is σ = 525931844457600. Its totient is φ = 67862173075200.

The previous prime is 204024123130279. The next prime is 204024123130307. The reversal of 204024123130300 is 3031321420402.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204024123130307) 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, 167702862 + ... + 168915061.

It is an arithmetic number, because the mean of its divisors is an integer number (3652304475400).

Almost surely, 2204024123130300 is an apocalyptic number.

204024123130300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204024123130300 is an abundant number, since it is smaller than the sum of its proper divisors (321907721327300).

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

204024123130300 is a wasteful number, since it uses less digits than its factorization.

204024123130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336617996 (or 336617989 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 204024123130300 its reverse (3031321420402), we get a palindrome (207055444550702).

The spelling of 204024123130300 in words is "two hundred four trillion, twenty-four billion, one hundred twenty-three million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 29 38 44 50 55 58 76 95 100 110 116 145 190 209 220 275 290 319 380 418 475 550 551 580 638 725 836 950 1045 1100 1102 1276 1450 1595 1900 2090 2204 2755 2900 3190 4180 5225 5510 6061 6380 7975 10450 11020 12122 13775 15950 20900 24244 27550 30305 31900 55100 60610 121220 151525 303050 606100 336617923 673235846 1346471692 1683089615 3366179230 3702797153 6395740537 6732358460 7405594306 8415448075 9761919767 12791481074 14811188612 16830896150 18513985765 19523839534 25582962148 31978702685 33661792300 37027971530 39047679068 48809598835 63957405370 70353145907 74055943060 92569928825 97619197670 107381117437 127914810740 140706291814 159893513425 185139857650 185476475573 195238395340 214762234874 244047994175 281412583628 319787026850 351765729535 370279715300 370952951146 429524469748 488095988350 536905587185 639574053700 703531459070 741905902292 927382377865 976191976700 1073811174370 1407062918140 1758828647675 1854764755730 2040241231303 2147622348740 2684527935925 3517657295350 3709529511460 4080482462606 4636911889325 5369055871850 7035314590700 8160964925212 9273823778650 10201206156515 10738111743700 18547647557300 20402412313030 40804824626060 51006030782575 102012061565150 204024123130300