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11013333200200 = 2352192877173933
BaseRepresentation
bin1010000001000011110111…
…0100000010110101001000
31102222212100010102102112001
42200100331310002311020
52420420301244401300
635231242212200344
72214454443415162
oct240207564026510
942885303372461
1011013333200200
113566801524631
12129a55b0090b4
1361b725849326
142a1096277932
15141736ec716a
hexa043dd02d48

11013333200200 has 144 divisors (see below), whose sum is σ = 27055585022580. Its totient is φ = 4168690859520.

The previous prime is 11013333200141. The next prime is 11013333200203. The reversal of 11013333200200 is 200233331011.

It can be written as a sum of positive squares in 6 ways, for example, as 8615598634756 + 2397734565444 = 2935234^2 + 1548462^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (11013333200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63232434 + ... + 63406366.

Almost surely, 211013333200200 is an apocalyptic number.

11013333200200 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 11013333200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527792511290).

11013333200200 is an abundant number, since it is smaller than the sum of its proper divisors (16042251822380).

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

11013333200200 is a wasteful number, since it uses less digits than its factorization.

11013333200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174864 (or 174836 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 11013333200200 its reverse (200233331011), we get a palindrome (11213566531211).

The spelling of 11013333200200 in words is "eleven trillion, thirteen billion, three hundred thirty-three million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 361 380 475 722 760 877 950 1444 1754 1805 1900 2888 3508 3610 3800 4385 7016 7220 8770 9025 14440 16663 17540 18050 21925 33326 35080 36100 43850 66652 72200 83315 87700 133304 166630 173933 175400 316597 333260 347866 416575 633194 666520 695732 833150 869665 1266388 1391464 1582985 1666300 1739330 2532776 3165970 3304727 3332600 3478660 4348325 6331940 6609454 6957320 7914925 8696650 12663880 13218908 15829850 16523635 17393300 26437816 31659700 33047270 34786600 62789813 63319400 66094540 82618175 125579626 132189080 152539241 165236350 251159252 305078482 313949065 330472700 502318504 610156964 627898130 660945400 762696205 1220313928 1255796260 1525392410 1569745325 2511592520 2898245579 3050784820 3139490650 3813481025 5796491158 6101569640 6278981300 7626962050 11592982316 12557962600 14491227895 15253924100 23185964632 28982455790 30507848200 55066666001 57964911580 72456139475 110133332002 115929823160 144912278950 220266664004 275333330005 289824557900 440533328008 550666660010 579649115800 1101333320020 1376666650025 2202666640040 2753333300050 5506666600100 11013333200200