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11442113232300 = 22325229438395143
BaseRepresentation
bin1010011010000001001100…
…0110000011110110101100
31111111212002112200220112200
42212200103012003312230
52444431421441413200
640200233444301500
72260444142513262
oct246402306036654
944455075626480
1011442113232300
113711633696023
1213496846a1890
1364cca988665a
142b7b30838432
1514c980367800
hexa6813183dac

11442113232300 has 108 divisors (see below), whose sum is σ = 37101381036720. Its totient is φ = 2946015354240.

The previous prime is 11442113232217. The next prime is 11442113232307. The reversal of 11442113232300 is 323231124411.

11442113232300 is a `hidden beast` number, since 1 + 1 + 4 + 421 + 1 + 3 + 2 + 3 + 230 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (11442113232307) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 219171472 + ... + 219223671.

Almost surely, 211442113232300 is an apocalyptic number.

11442113232300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442113232300 is an abundant number, since it is smaller than the sum of its proper divisors (25659267804420).

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

11442113232300 is a wasteful number, since it uses less digits than its factorization.

11442113232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438395192 (or 438395182 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11442113232300 its reverse (323231124411), we get a palindrome (11765344356711).

The spelling of 11442113232300 in words is "eleven trillion, four hundred forty-two billion, one hundred thirteen million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 26100 438395143 876790286 1315185429 1753580572 2191975715 2630370858 3945556287 4383951430 5260741716 6575927145 7891112574 8767902860 10959878575 12713459147 13151854290 15782225148 19727781435 21919757150 25426918294 26303708580 32879635725 38140377441 39455562870 43839514300 50853836588 63567295735 65759271450 76280754882 78911125740 98638907175 114421132323 127134591470 131518542900 152561509764 190701887205 197277814350 228842264646 254269182940 317836478675 381403774410 394555628700 457684529292 572105661615 635672957350 762807548820 953509436025 1144211323230 1271345914700 1907018872050 2288422646460 2860528308075 3814037744100 5721056616150 11442113232300