Search a number
-
+
30032400230300 = 225213192244754167
BaseRepresentation
bin1101101010000011101101…
…00011000010011110011100
310221100001212121102222211202
412311001312203002132130
512414022323424332200
6143512405540335032
76216524605661066
oct665016643023634
9127301777388752
1030032400230300
11962973aa94696
1234505920a4478
13139b073b70a60
1475b80c4b4736
153713294c21d5
hex1b50768c279c

30032400230300 has 144 divisors (see below), whose sum is σ = 73881927920640. Its totient is φ = 10504598711040.

The previous prime is 30032400230291. The next prime is 30032400230309. The reversal of 30032400230300 is 303200423003.

It is an interprime number because it is at equal distance from previous prime (30032400230291) and next prime (30032400230309).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30032400230309) 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, 554413817 + ... + 554467983.

Almost surely, 230032400230300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30032400230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36940963960320).

30032400230300 is an abundant number, since it is smaller than the sum of its proper divisors (43849527690340).

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

30032400230300 is a wasteful number, since it uses less digits than its factorization.

30032400230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76660 (or 76653 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 30032400230300 its reverse (303200423003), we get a palindrome (30335600653303).

The spelling of 30032400230300 in words is "thirty trillion, thirty-two billion, four hundred million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 6175 12350 22447 24700 44894 54167 89788 108334 112235 216668 224470 270835 291811 426493 448940 541670 561175 583622 704171 852986 1029173 1083340 1122350 1167244 1354175 1408342 1459055 1705972 2058346 2132465 2244700 2708350 2816684 2918110 3520855 4116692 4264930 5145865 5416700 5544409 5836220 7041710 7295275 8529860 10291730 10662325 11088818 13379249 14083420 14590550 17604275 20583460 21324650 22177636 25729325 26758498 27722045 29181100 35208550 42649300 51458650 53516996 55444090 66896245 70417100 102917300 110888180 133792490 138610225 267584980 277220450 334481225 554440900 668962450 1215886649 1337924900 2431773298 4863546596 6079433245 12158866490 15806526437 23101846331 24317732980 30397166225 31613052874 46203692662 60794332450 63226105748 79032632185 92407385324 115509231655 121588664900 158065264370 231018463310 300324002303 316130528740 395163160925 462036926620 577546158275 600648004606 790326321850 1155092316550 1201296009212 1501620011515 1580652643700 2310184633100 3003240023030 6006480046060 7508100057575 15016200115150 30032400230300