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11000200313232 = 2433133475644741
BaseRepresentation
bin1010000000010010111100…
…0010000011100110010000
31102221121102212120122102000
42200010233002003212100
52420211402240010412
635221231112554000
72213511134624034
oct240045702034620
942847385518360
1011000200313232
113561182336239
121297ab49b2900
1361a411a8aab0
142a05abdda1c4
151412190764dc
hexa012f083990

11000200313232 has 160 divisors (see below), whose sum is σ = 34101466949760. Its totient is φ = 3374922309120.

The previous prime is 11000200313147. The next prime is 11000200313303. The reversal of 11000200313232 is 23231300200011.

11000200313232 is a `hidden beast` number, since 1 + 100 + 0 + 20 + 0 + 313 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873619 + ... + 4771122.

It is an arithmetic number, because the mean of its divisors is an integer number (213134168436).

Almost surely, 211000200313232 is an apocalyptic number.

11000200313232 is a gapful number since it is divisible by the number (12) 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 11000200313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050733474880).

11000200313232 is an abundant number, since it is smaller than the sum of its proper divisors (23101266636528).

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

11000200313232 is a wasteful number, since it uses less digits than its factorization.

11000200313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645118 (or 5645106 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11000200313232 its reverse (23231300200011), we get a palindrome (34231500513243).

The spelling of 11000200313232 in words is "eleven trillion, two hundred million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 347 351 432 468 624 694 702 936 1041 1388 1404 1872 2082 2776 2808 3123 4164 4511 5552 5616 6246 8328 9022 9369 12492 13533 16656 18044 18738 24984 27066 36088 37476 40599 49968 54132 72176 74952 81198 108264 121797 149904 162396 216528 243594 324792 487188 649584 974376 1948752 5644741 11289482 16934223 22578964 33868446 45157928 50802669 67736892 73381633 90315856 101605338 135473784 146763266 152408007 203210676 220144899 270947568 293526532 304816014 406421352 440289798 587053064 609632028 660434697 812842704 880579596 1174106128 1219264056 1320869394 1761159192 1958725127 1981304091 2438528112 2641738788 3522318384 3917450254 3962608182 5283477576 5876175381 7834900508 7925216364 10566955152 11752350762 15669801016 15850432728 17628526143 23504701524 25463426651 31339602032 31700865456 35257052286 47009403048 50926853302 52885578429 70514104572 76390279953 94018806096 101853706604 105771156858 141028209144 152780559906 203707413208 211542313716 229170839859 282056418288 305561119812 407414826416 423084627432 458341679718 611122239624 687512519577 846169254864 916683359436 1222244479248 1375025039154 1833366718872 2750050078308 3666733437744 5500100156616 11000200313232