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113343404224100 = 225223377487177893
BaseRepresentation
bin11001110001010111010001…
…010110001010111001100100
3112212022112010201110010100212
4121301113101112022321210
5104324004242440132400
61041021124023354552
732605535134516601
oct3161272126127144
9485275121403325
10113343404224100
1133129738912156
12108668648b2a58
134b32311056bab
141ddbbc86d36a8
15d184c6ddb335
hex6715d158ae64

113343404224100 has 144 divisors (see below), whose sum is σ = 263622035109888. Its totient is φ = 42188240540160.

The previous prime is 113343404224097. The next prime is 113343404224129. The reversal of 113343404224100 is 1422404343311.

It is a super-2 number, since 2×1133434042241002 (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 637054754 + ... + 637232646.

It is an arithmetic number, because the mean of its divisors is an integer number (1830708577152).

Almost surely, 2113343404224100 is an apocalyptic number.

113343404224100 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 113343404224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131811017554944).

113343404224100 is an abundant number, since it is smaller than the sum of its proper divisors (150278630885788).

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

113343404224100 is a wasteful number, since it uses less digits than its factorization.

113343404224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185454 (or 185447 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 113343404224100 its reverse (1422404343311), we get a palindrome (114765808567411).

The spelling of 113343404224100 in words is "one hundred thirteen trillion, three hundred forty-three billion, four hundred four million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 37 46 50 74 92 100 115 148 185 230 370 460 575 740 851 925 1150 1702 1850 2300 3404 3700 4255 7487 8510 14974 17020 21275 29948 37435 42550 74870 85100 149740 172201 177893 187175 277019 344402 355786 374350 554038 688804 711572 748700 861005 889465 1108076 1385095 1722010 1778930 2770190 3444020 3557860 4091539 4305025 4447325 5540380 6371437 6582041 6925475 8183078 8610050 8894650 12742874 13164082 13850950 16366156 17220100 17789300 20457695 25485748 26328164 27701900 31857185 32910205 40915390 63714370 65820410 81830780 102288475 127428740 131640820 151386943 159285925 164551025 204576950 302773886 318571850 329102050 409153900 605547772 637143700 658204100 756934715 1331884891 1513869430 2663769782 3027738860 3784673575 5327539564 6659424455 7569347150 13318848910 15138694300 26637697820 30633352493 33297122275 49279740967 61266704986 66594244550 98559481934 122533409972 133188489100 153166762465 197118963868 246398704835 306333524930 492797409670 612667049860 765833812325 985594819340 1133434042241 1231993524175 1531667624650 2266868084482 2463987048350 3063335249300 4533736168964 4927974096700 5667170211205 11334340422410 22668680844820 28335851056025 56671702112050 113343404224100