Search a number
-
+
11205012300000 = 2535537350041
BaseRepresentation
bin1010001100001101111011…
…0001110010000011100000
31110200012002120110120210120
42203003132301302003200
52432040331122100000
635455302300400240
72234351436034011
oct243033661620340
943605076416716
1011205012300000
113630023369302
12130b733b46080
13633821cba4cc
142aa47b1db008
15146704bb46a0
hexa30dec720e0

11205012300000 has 144 divisors (see below), whose sum is σ = 36764094541104. Its totient is φ = 2988003200000.

The previous prime is 11205012299977. The next prime is 11205012300043. The reversal of 11205012300000 is 321050211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18375021 + ... + 18975020.

It is an arithmetic number, because the mean of its divisors is an integer number (255306212091).

Almost surely, 211205012300000 is an apocalyptic number.

11205012300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11205012300000 is an abundant number, since it is smaller than the sum of its proper divisors (25559082241104).

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

11205012300000 is an frugal number, since it uses more digits than its factorization.

11205012300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37350079 (or 37350051 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 11205012300000 its reverse (321050211), we get a palindrome (11205333350211).

The spelling of 11205012300000 in words is "eleven trillion, two hundred five billion, twelve million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 37350041 74700082 112050123 149400164 186750205 224100246 298800328 373500410 448200492 560250615 597600656 747000820 896400984 933751025 1120501230 1195201312 1494001640 1792801968 1867502050 2241002460 2801253075 2988003280 3585603936 3735004100 4482004920 4668755125 5602506150 5976006560 7470008200 8964009840 9337510250 11205012300 14006265375 14940016400 17928019680 18675020500 22410024600 23343775625 28012530750 29880032800 37350041000 44820049200 46687551250 56025061500 70031326875 74700082000 89640098400 93375102500 112050123000 116718878125 140062653750 149400164000 186750205000 224100246000 233437756250 280125307500 350156634375 373500410000 448200492000 466875512500 560250615000 700313268750 747000820000 933751025000 1120501230000 1400626537500 1867502050000 2241002460000 2801253075000 3735004100000 5602506150000 11205012300000