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11330203133300 = 22521973127643217
BaseRepresentation
bin1010010011100000010010…
…1110111010010101110100
31111010011020100002211221012
42210320010232322111310
52441113224000231200
640033005022411352
72246402665412132
oct244700456722564
944104210084835
1011330203133300
1136791263222a7
12132ba52130b58
1364258372b26c
142b2555abc752
15149ad0719a35
hexa4e04bba574

11330203133300 has 144 divisors (see below), whose sum is σ = 26441714288640. Its totient is φ = 4201383997440.

The previous prime is 11330203133299. The next prime is 11330203133303. The reversal of 11330203133300 is 333130203311.

It is a super-2 number, since 2×113302031333002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330203133303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17293292 + ... + 17936508.

Almost surely, 211330203133300 is an apocalyptic number.

11330203133300 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 11330203133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13220857144320).

11330203133300 is an abundant number, since it is smaller than the sum of its proper divisors (15111511155340).

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

11330203133300 is a wasteful number, since it uses less digits than its factorization.

11330203133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643450 (or 643443 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 11330203133300 its reverse (333130203311), we get a palindrome (11663333336611).

The spelling of 11330203133300 in words is "eleven trillion, three hundred thirty billion, two hundred three million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 73 76 95 100 127 146 190 254 292 365 380 475 508 635 730 950 1270 1387 1460 1825 1900 2413 2540 2774 3175 3650 4826 5548 6350 6935 7300 9271 9652 12065 12700 13870 18542 24130 27740 34675 37084 46355 48260 60325 69350 92710 120650 138700 176149 185420 231775 241300 352298 463550 643217 704596 880745 927100 1286434 1761490 2572868 3216085 3522980 4403725 6432170 8807450 12221123 12864340 16080425 17614900 24442246 32160850 46954841 48884492 61105615 64321700 81688559 93909682 122211230 163377118 187819364 234774205 244422460 305528075 326754236 408442795 469548410 611056150 816885590 892141979 939096820 1173871025 1222112300 1552082621 1633771180 1784283958 2042213975 2347742050 3104165242 3568567916 4084427950 4460709895 4695484100 5963264807 6208330484 7760413105 8168855900 8921419790 11926529614 15520826210 17842839580 22303549475 23853059228 29816324035 31041652420 38802065525 44607098950 59632648070 77604131050 89214197900 113302031333 119265296140 149081620175 155208262100 226604062666 298163240350 453208125332 566510156665 596326480700 1133020313330 2266040626660 2832550783325 5665101566650 11330203133300