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10311003300 = 223521311512297
BaseRepresentation
bin10011001101001010…
…10110110010100100
3222121120222020110010
421212211112302210
5132104104101200
64423052330220
7513342040053
oct114645266244
928546866403
1010311003300
114411324434
121bb9173970
13c8426b6b0
146db59c39a
15405342150
hex266956ca4

10311003300 has 144 divisors (see below), whose sum is σ = 32169940992. Its totient is φ = 2534784000.

The previous prime is 10311003299. The next prime is 10311003317. The reversal of 10311003300 is 330011301.

It is a super-2 number, since 2×103110033002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4487752 + ... + 4490048.

It is an arithmetic number, because the mean of its divisors is an integer number (223402368).

Almost surely, 210311003300 is an apocalyptic number.

10311003300 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 10311003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16084970496).

10311003300 is an abundant number, since it is smaller than the sum of its proper divisors (21858937692).

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

10311003300 is a wasteful number, since it uses less digits than its factorization.

10311003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10311003300 its reverse (330011301), we get a palindrome (10641014601).

The spelling of 10311003300 in words is "ten billion, three hundred eleven million, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1151 1300 1950 2297 2302 3453 3900 4594 4604 5755 6891 6906 9188 11485 11510 13782 13812 14963 17265 22970 23020 27564 28775 29861 29926 34455 34530 44889 45940 57425 57550 59722 59852 68910 69060 74815 86325 89583 89778 114850 115100 119444 137820 149305 149630 172275 172650 179166 179556 224445 229700 298610 299260 344550 345300 358332 374075 447915 448890 597220 689100 746525 748150 895830 897780 1122225 1493050 1496300 1791660 2239575 2244450 2643847 2986100 4479150 4488900 5287694 7931541 8958300 10575388 13219235 15863082 26438470 31726164 34370011 39657705 52876940 66096175 68740022 79315410 103110033 132192350 137480044 158630820 171850055 198288525 206220066 264384700 343700110 396577050 412440132 515550165 687400220 793154100 859250275 1031100330 1718500550 2062200660 2577750825 3437001100 5155501650 10311003300