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11001323231200 = 2552229588110211
BaseRepresentation
bin1010000000010111000111…
…1101101001011111100000
31102221201100010112210021101
42200011301331221133200
52420221202221344300
635221534345004144
72213551021361251
oct240056175513740
942851303483241
1011001323231200
1135616a9184115
121298168a83654
1361a5606040b3
142a06771c2b28
15141282937b6a
hexa0171f697e0

11001323231200 has 144 divisors (see below), whose sum is σ = 26981488542960. Its totient is φ = 4380139008000.

The previous prime is 11001323231191. The next prime is 11001323231207. The reversal of 11001323231200 is 213232310011.

It is a super-2 number, since 2×110013232312002 (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 (11001323231207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077394095 + ... + 1077404305.

It is an arithmetic number, because the mean of its divisors is an integer number (187371448215).

Almost surely, 211001323231200 is an apocalyptic number.

11001323231200 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 11001323231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490744271480).

11001323231200 is an abundant number, since it is smaller than the sum of its proper divisors (15980165311760).

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

11001323231200 is a wasteful number, since it uses less digits than its factorization.

11001323231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16341 (or 16328 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11001323231200 its reverse (213232310011), we get a palindrome (11214555541211).

The spelling of 11001323231200 in words is "eleven trillion, one billion, three hundred twenty-three million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 229 400 458 800 916 1145 1832 2290 3664 4580 5725 5881 7328 9160 10211 11450 11762 18320 20422 22900 23524 29405 36640 40844 45800 47048 51055 58810 81688 91600 94096 102110 117620 147025 163376 183200 188192 204220 235240 255275 294050 326752 408440 470480 510550 588100 816880 940960 1021100 1176200 1346749 1633760 2042200 2338319 2352400 2693498 4084400 4676638 4704800 5386996 6733745 8168800 9353276 10773992 11691595 13467490 18706552 21547984 23383190 26934980 33668725 37413104 43095968 46766380 53869960 58457975 60050891 67337450 74826208 93532760 107739920 116915950 120101782 134674900 187065520 215479840 233831900 240203564 269349800 300254455 374131040 467663800 480407128 538699600 600508910 935327600 960814256 1077399200 1201017820 1501272275 1870655200 1921628512 2402035640 3002544550 4804071280 6005089100 9608142560 12010178200 13751654039 24020356400 27503308078 48040712800 55006616156 68758270195 110013232312 137516540390 220026464624 275033080780 343791350975 440052929248 550066161560 687582701950 1100132323120 1375165403900 2200264646240 2750330807800 5500661615600 11001323231200