Search a number
-
+
12220233230300 = 22526112721174759
BaseRepresentation
bin1011000111010011111010…
…1010010010011111011100
31121021020120001202101100212
42301310332222102133130
53100204014201332200
641553521520311552
72400611525412104
oct261647652223734
947236501671325
1012220233230300
113991632094437
1214544434725b8
136a8494807084
14303668d38204
15162d22831035
hexb1d3ea927dc

12220233230300 has 144 divisors (see below), whose sum is σ = 27293959741440. Its totient is φ = 4747432032000.

The previous prime is 12220233230291. The next prime is 12220233230329. The reversal of 12220233230300 is 303233202221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163424321 + ... + 163499079.

Almost surely, 212220233230300 is an apocalyptic number.

12220233230300 is a gapful number since it is divisible by the number (10) 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 12220233230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13646979870720).

12220233230300 is an abundant number, since it is smaller than the sum of its proper divisors (15073726511140).

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

12220233230300 is a wasteful number, since it uses less digits than its factorization.

12220233230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75172 (or 75165 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 12220233230300 its reverse (303233202221), we get a palindrome (12523466432521).

The spelling of 12220233230300 in words is "twelve trillion, two hundred twenty billion, two hundred thirty-three million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 127 211 244 254 305 422 508 610 635 844 1055 1220 1270 1525 2110 2540 3050 3175 4220 5275 6100 6350 7747 10550 12700 12871 15494 21100 25742 26797 30988 38735 51484 53594 64355 74759 77470 107188 128710 133985 149518 154940 193675 257420 267970 299036 321775 373795 387350 535940 643550 669925 747590 774700 1287100 1339850 1495180 1634617 1868975 2679700 3269234 3737950 4560299 6538468 7475900 8173085 9120598 9494393 15774149 16346170 18241196 18988786 22801495 31548298 32692340 37977572 40865425 45602990 47471965 63096596 78870745 81730850 91205980 94943930 114007475 157741490 163461700 189887860 228014950 237359825 315482980 394353725 456029900 474719650 579157973 788707450 949439300 962223089 1158315946 1577414900 1924446178 2003316923 2316631892 2895789865 3848892356 4006633846 4811115445 5791579730 8013267692 9622230890 10016584615 11583159460 14478949325 19244461780 20033169230 24055577225 28957898650 40066338460 48111154450 50082923075 57915797300 96222308900 100165846150 122202332303 200331692300 244404664606 488809329212 611011661515 1222023323030 2444046646060 3055058307575 6110116615150 12220233230300