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11210011011012 = 22311293061956689
BaseRepresentation
bin1010001100100000100010…
…1110010110011111000100
31110200122222221102102012110
42203020020232112133010
52432131100304323022
635501450304221020
72234616344262342
oct243101056263704
943618887372173
1011210011011012
113632158a75930
1213106aa00a770
1363413a7b7488
142aa7d3044992
151468e896400c
hexa3208b967c4

11210011011012 has 96 divisors (see below), whose sum is σ = 29528198582400. Its totient is φ = 3278761113600.

The previous prime is 11210011010921. The next prime is 11210011011083. The reversal of 11210011011012 is 21011011001211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11239164 + ... + 12195852.

It is an arithmetic number, because the mean of its divisors is an integer number (307585401900).

Almost surely, 211210011011012 is an apocalyptic number.

11210011011012 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 11210011011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764099291200).

11210011011012 is an abundant number, since it is smaller than the sum of its proper divisors (18318187571388).

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

11210011011012 is a wasteful number, since it uses less digits than its factorization.

11210011011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959797 (or 959795 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11210011011012 its reverse (21011011001211), we get a palindrome (32221022012223).

The spelling of 11210011011012 in words is "eleven trillion, two hundred ten billion, eleven million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3061 3828 6122 9183 12244 18366 33671 36732 67342 88769 101013 134684 177538 202026 266307 355076 404052 532614 956689 976459 1065228 1913378 1952918 2870067 2929377 3826756 3905836 5740134 5858754 10523579 11480268 11717508 21047158 27743981 31570737 42094316 55487962 63141474 83231943 110975924 126282948 166463886 305183791 332927772 610367582 915551373 1220735164 1831102746 2928425029 3662205492 5856850058 8785275087 11713700116 17570550174 32212675319 35141100348 64425350638 84924325841 96638025957 128850701276 169848651682 193276051914 254772977523 339697303364 386552103828 509545955046 934167584251 1019091910092 1868335168502 2802502752753 3736670337004 5605005505506 11210011011012