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21010000122012 = 22311298816229859
BaseRepresentation
bin1001100011011110001011…
…00110000001000010011100
32202101112111000212202122010
410301233011212001002130
510223211440012401022
6112403505533551220
74265631250301406
oct461570546010234
982345430782563
1021010000122012
116770322380680
122433a66645510
13b953082b0425
14528c64859b76
152667b94d150c
hex131bc598109c

21010000122012 has 96 divisors (see below), whose sum is σ = 55386944121600. Its totient is φ = 6140148044800.

The previous prime is 21010000122011. The next prime is 21010000122101. The reversal of 21010000122012 is 21022100001012.

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 (21010000122011) by changing a digit.

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, 257539 + ... + 6487397.

It is an arithmetic number, because the mean of its divisors is an integer number (576947334600).

Almost surely, 221010000122012 is an apocalyptic number.

21010000122012 is a gapful number since it is divisible by the number (22) 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 21010000122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27693472060800).

21010000122012 is an abundant number, since it is smaller than the sum of its proper divisors (34376943999588).

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

21010000122012 is a wasteful number, since it uses less digits than its factorization.

21010000122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6230787 (or 6230785 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21010000122012 its reverse (21022100001012), we get a palindrome (42032100123024).

The spelling of 21010000122012 in words is "twenty-one trillion, ten billion, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 881 957 1276 1762 1914 2643 3524 3828 5286 9691 10572 19382 25549 29073 38764 51098 58146 76647 102196 116292 153294 281039 306588 562078 843117 1124156 1686234 3372468 6229859 12459718 18689577 24919436 37379154 68528449 74758308 137056898 180665911 205585347 274113796 361331822 411170694 541997733 722663644 822341388 1083995466 1987325021 2167990932 3974650042 5488505779 5961975063 7949300084 10977011558 11923950126 16465517337 21954023116 23847900252 32931034674 60373563569 65862069348 120747127138 159166667591 181120690707 241494254276 318333335182 362241381414 477500002773 636666670364 724482762828 955000005546 1750833343501 1910000011092 3501666687002 5252500030503 7003333374004 10505000061006 21010000122012