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10343323100 = 225211232271801
BaseRepresentation
bin10011010001000001…
…01001010111011100
3222200211210020212202
421220200221113130
5132140342314400
64430205151032
7514213536635
oct115040512734
928624706782
1010343323100
114428599810
122007b5b478
13c8ab76536
147019b288c
154080c84d5
hex2688295dc

10343323100 has 144 divisors (see below), whose sum is σ = 25676856576. Its totient is φ = 3579840000.

The previous prime is 10343323087. The next prime is 10343323117. The reversal of 10343323100 is 132334301.

It is a super-2 number, since 2×103433231002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5742200 + ... + 5744000.

It is an arithmetic number, because the mean of its divisors is an integer number (178311504).

Almost surely, 210343323100 is an apocalyptic number.

10343323100 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 10343323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838428288).

10343323100 is an abundant number, since it is smaller than the sum of its proper divisors (15333533476).

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

10343323100 is a wasteful number, since it uses less digits than its factorization.

10343323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10343323100 its reverse (132334301), we get a palindrome (10475657401).

The spelling of 10343323100 in words is "ten billion, three hundred forty-three million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 227 230 253 275 454 460 506 550 575 908 1012 1100 1135 1150 1265 1801 2270 2300 2497 2530 3602 4540 4994 5060 5221 5675 6325 7204 9005 9988 10442 11350 12485 12650 18010 19811 20884 22700 24970 25300 26105 36020 39622 41423 45025 49940 52210 57431 62425 79244 82846 90050 99055 104420 114862 124850 130525 165692 180100 198110 207115 229724 249700 261050 287155 396220 408827 414230 455653 495275 522100 574310 817654 828460 911306 990550 1035575 1148620 1435775 1635308 1822612 1981100 2044135 2071150 2278265 2871550 4088270 4142300 4497097 4556530 5743100 8176540 8994194 9113060 9403021 10220675 11391325 17988388 18806042 20441350 22485485 22782650 37612084 40882700 44970970 45565300 47015105 89941940 94030210 103433231 112427425 188060420 206866462 224854850 235075525 413732924 449709700 470151050 517166155 940302100 1034332310 2068664620 2585830775 5171661550 10343323100