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11211200201232 = 2432331413356911
BaseRepresentation
bin1010001100100100111110…
…0110110000001000010000
31110200210001211002112111200
42203021033212300020100
52432141014222414412
635502204304511200
72234660664236253
oct243111746601020
943623054075450
1011211200201232
113632709269069
12131098031b500
13634299c95625
142aa8a6d5d09a
151469680669dc
hexa324f9b0210

11211200201232 has 120 divisors (see below), whose sum is σ = 31478747933568. Its totient is φ = 3724809580800.

The previous prime is 11211200201221. The next prime is 11211200201269. The reversal of 11211200201232 is 23210200211211.

11211200201232 is a `hidden beast` number, since 1 + 1 + 211 + 20 + 0 + 201 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196966857 + ... + 197023767.

Almost surely, 211211200201232 is an apocalyptic number.

11211200201232 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 11211200201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15739373966784).

11211200201232 is an abundant number, since it is smaller than the sum of its proper divisors (20267547732336).

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

11211200201232 is a wasteful number, since it uses less digits than its factorization.

11211200201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61389 (or 61380 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11211200201232 its reverse (23210200211211), we get a palindrome (34421400412443).

The spelling of 11211200201232 in words is "eleven trillion, two hundred eleven billion, two hundred million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 331 662 993 1324 1986 2648 2979 3972 4133 5296 5958 7944 8266 11916 12399 15888 16532 23832 24798 33064 37197 47664 49596 56911 66128 74394 99192 113822 148788 170733 198384 227644 297576 341466 455288 512199 595152 682932 910576 1024398 1365864 1368023 2048796 2731728 2736046 4097592 4104069 5472092 8195184 8208138 10944184 12312207 16416276 18837541 21888368 24624414 32832552 37675082 49248828 56512623 65665104 75350164 98497656 113025246 150700328 169537869 196995312 226050492 235213163 301400656 339075738 452100984 470426326 678151476 705639489 904201968 940852652 1356302952 1411278978 1881705304 2116918467 2712605904 2822557956 3763410608 4233836934 5645115912 8467673868 11290231824 16935347736 33870695472 77855556953 155711113906 233566670859 311422227812 467133341718 622844455624 700700012577 934266683436 1245688911248 1401400025154 1868533366872 2802800050308 3737066733744 5605600100616 11211200201232