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113224040300 = 22527279292493
BaseRepresentation
bin110100101110010101…
…1011011111101101100
3101211020210000012020002
41221130223123331230
53323340323242200
6124003040043432
711115540314600
oct1513453337554
9354223005202
10113224040300
1144022023328
1219b3a603578
13a8a5434b67
1456a1469500
152e2a193bd5
hex1a5cadbf6c

113224040300 has 108 divisors (see below), whose sum is σ = 289428662880. Its totient is φ = 38328151680.

The previous prime is 113224040269. The next prime is 113224040333. The reversal of 113224040300 is 3040422311.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240854 + ... + 533346.

Almost surely, 2113224040300 is an apocalyptic number.

113224040300 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 113224040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144714331440).

113224040300 is an abundant number, since it is smaller than the sum of its proper divisors (176204622580).

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

113224040300 is a wasteful number, since it uses less digits than its factorization.

113224040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292600 (or 292586 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 113224040300 its reverse (3040422311), we get a palindrome (116264462611).

The spelling of 113224040300 in words is "one hundred thirteen billion, two hundred twenty-four million, forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 79 98 100 140 158 175 196 245 316 350 395 490 553 700 790 980 1106 1225 1580 1975 2212 2450 2765 3871 3950 4900 5530 7742 7900 11060 13825 15484 19355 27650 38710 55300 77420 96775 193550 292493 387100 584986 1169972 1462465 2047451 2924930 4094902 5849860 7312325 8189804 10237255 14332157 14624650 20474510 23106947 28664314 29249300 40949020 46213894 51186275 57328628 71660785 92427788 102372550 115534735 143321570 161748629 204745100 231069470 286643140 323497258 358303925 462138940 577673675 646994516 716607850 808743145 1132240403 1155347350 1433215700 1617486290 2264480806 2310694700 3234972580 4043715725 4528961612 5661202015 8087431450 11322404030 16174862900 22644808060 28306010075 56612020150 113224040300