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10323321133300 = 2252767953230969
BaseRepresentation
bin1001011000111001010111…
…1000111001100011110100
31100112220021222222121020021
42112032111320321203310
52323114130202231200
633542245051014524
72113556343545140
oct226162570714364
940486258877207
1010323321133300
1133201067189aa
1211a888b43a444
1359b63c733296
14279919674220
1512d7eebe741a
hex96395e398f4

10323321133300 has 144 divisors (see below), whose sum is σ = 26011331418240. Its totient is φ = 3482923530240.

The previous prime is 10323321133291. The next prime is 10323321133339. The reversal of 10323321133300 is 333112332301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 44580216 + ... + 44811184.

It is an arithmetic number, because the mean of its divisors is an integer number (180634245960).

Almost surely, 210323321133300 is an apocalyptic number.

10323321133300 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 10323321133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005665709120).

10323321133300 is an abundant number, since it is smaller than the sum of its proper divisors (15688010284940).

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

10323321133300 is a wasteful number, since it uses less digits than its factorization.

10323321133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232010 (or 232003 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 10323321133300 its reverse (333112332301), we get a palindrome (10656433465601).

The spelling of 10323321133300 in words is "ten trillion, three hundred twenty-three billion, three hundred twenty-one million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 670 700 938 953 1340 1675 1876 1906 2345 3350 3812 4690 4765 6671 6700 9380 9530 11725 13342 19060 23450 23825 26684 33355 46900 47650 63851 66710 95300 127702 133420 166775 230969 255404 319255 333550 446957 461938 638510 667100 893914 923876 1154845 1277020 1596275 1616783 1787828 2234785 2309690 3192550 3233566 4469570 4619380 5774225 6385100 6467132 8083915 8939140 11173925 11548450 15474923 16167830 22347850 23096900 30949846 32335660 40419575 44695700 61899692 77374615 80839150 108324461 154749230 161678300 216648922 220113457 309498460 386873075 433297844 440226914 541622305 773746150 880453828 1083244610 1100567285 1540794199 1547492300 2166489220 2201134570 2708111525 3081588398 4402269140 5416223050 5502836425 6163176796 7703970995 10832446100 11005672850 14747601619 15407941990 22011345700 29495203238 30815883980 38519854975 58990406476 73738008095 77039709950 103233211333 147476016190 154079419900 206466422666 294952032380 368690040475 412932845332 516166056665 737380080950 1032332113330 1474760161900 2064664226660 2580830283325 5161660566650 10323321133300