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11012201112 = 233111710922511
BaseRepresentation
bin10100100000110000…
…01101101010011000
31001102110101210000110
422100120031222120
5140023110413422
65020421404320
7536615110413
oct122030155230
931373353013
1011012201112
114741111760
122173b696a0
13106660a043
14766768b7a
15446b9e60c
hex29060da98

11012201112 has 128 divisors (see below), whose sum is σ = 32093107200. Its totient is φ = 3111782400.

The previous prime is 11012201099. The next prime is 11012201113. The reversal of 11012201112 is 21110221011.

It is a super-2 number, since 2×110122011122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012201113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477937 + ... + 500447.

It is an arithmetic number, because the mean of its divisors is an integer number (250727400).

Almost surely, 211012201112 is an apocalyptic number.

11012201112 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 11012201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16046553600).

11012201112 is an abundant number, since it is smaller than the sum of its proper divisors (21080906088).

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

11012201112 is a wasteful number, since it uses less digits than its factorization.

11012201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22657 (or 22653 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012201112 its reverse (21110221011), we get a palindrome (32122422123).

The spelling of 11012201112 in words is "eleven billion, twelve million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 109 132 136 187 204 218 264 327 374 408 436 561 654 748 872 1122 1199 1308 1496 1853 2244 2398 2616 3597 3706 4488 4796 5559 7194 7412 9592 11118 14388 14824 20383 22236 22511 28776 40766 44472 45022 61149 67533 81532 90044 122298 135066 163064 180088 244596 247621 270132 382687 489192 495242 540264 742863 765374 990484 1148061 1485726 1530748 1980968 2296122 2453699 2971452 3061496 4209557 4592244 4907398 5942904 7361097 8419114 9184488 9814796 12628671 14722194 16838228 19629592 25257342 26990689 29444388 33676456 41712883 50514684 53981378 58888776 80972067 83425766 101029368 107962756 125138649 161944134 166851532 215925512 250277298 323888268 333703064 458841713 500554596 647776536 917683426 1001109192 1376525139 1835366852 2753050278 3670733704 5506100556 11012201112