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113332023320320 = 285725574946681
BaseRepresentation
bin11001110001001100101010…
…111111011101111100000000
3112212021102202120021022101001
4121301030222333131330000
5104323312440432222240
61041012002431221344
732604653121445240
oct3161145277357400
9485242676238331
10113332023320320
1133124928671752
1210864609377854
134b31219245bbc
141ddb428dcdb20
15d1805cbab89a
hex67132afddf00

113332023320320 has 144 divisors (see below), whose sum is σ = 310367808773568. Its totient is φ = 38841489653760.

The previous prime is 113332023320281. The next prime is 113332023320333. The reversal of 113332023320320 is 23023320233311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20437380 + ... + 25384060.

It is an arithmetic number, because the mean of its divisors is an integer number (2155332005372).

Almost surely, 2113332023320320 is an apocalyptic number.

113332023320320 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 113332023320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155183904386784).

113332023320320 is an abundant number, since it is smaller than the sum of its proper divisors (197035785453248).

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

113332023320320 is an equidigital number, since it uses as much as digits as its factorization.

113332023320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949266 (or 4949252 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 113332023320320 its reverse (23023320233311), we get a palindrome (136355343553631).

The spelling of 113332023320320 in words is "one hundred thirteen trillion, three hundred thirty-two billion, twenty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 2557 4480 5114 8960 10228 12785 17899 20456 25570 35798 40912 51140 71596 81824 89495 102280 143192 163648 178990 204560 286384 327296 357980 409120 572768 654592 715960 818240 1145536 1431920 1636480 2291072 2863840 3272960 4582144 4946681 5727680 9893362 11455360 19786724 22910720 24733405 34626767 39573448 49466810 69253534 79146896 98933620 138507068 158293792 173133835 197867240 277014136 316587584 346267670 395734480 554028272 633175168 692535340 791468960 1108056544 1266350336 1385070680 1582937920 2216113088 2770141360 3165875840 4432226176 5540282720 6331751680 8864452352 11080565440 12648663317 22161130880 25297326634 44322261760 50594653268 63243316585 88540643219 101189306536 126486633170 177081286438 202378613072 252973266340 354162572876 404757226144 442703216095 505946532680 708325145752 809514452288 885406432190 1011893065360 1416650291504 1619028904576 1770812864380 2023786130720 2833300583008 3238057809152 3541625728760 4047572261440 5666601166016 7083251457520 8095144522880 11333202332032 14166502915040 16190289045760 22666404664064 28333005830080 56666011660160 113332023320320