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21012000110112 = 2531121913994513
BaseRepresentation
bin1001100011100001111001…
…10011010111011000100000
32202101201122102012200112110
410301300330303113120200
510223230034012010422
6112404440220355320
74266031644023454
oct461607463273040
982351572180473
1021012000110112
11677115930a300
1224343243a5b40
13b9556675223b
14528db4310664
15266884d9060c
hex131c3ccd7620

21012000110112 has 144 divisors (see below), whose sum is σ = 60630375627360. Its totient is φ = 6366872709120.

The previous prime is 21012000110089. The next prime is 21012000110119. The reversal of 21012000110112 is 21101100021012.

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

It is not an unprimeable number, because it can be changed into a prime (21012000110119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222271368 + ... + 222365880.

It is an arithmetic number, because the mean of its divisors is an integer number (421044275190).

Almost surely, 221012000110112 is an apocalyptic number.

21012000110112 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 21012000110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30315187813680).

21012000110112 is an abundant number, since it is smaller than the sum of its proper divisors (39618375517248).

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

21012000110112 is a wasteful number, since it uses less digits than its factorization.

21012000110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113687 (or 113668 counting only the distinct ones).

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

Adding to 21012000110112 its reverse (21101100021012), we get a palindrome (42113100131124).

It can be divided in two parts, 21012000 and 110112, that added together give a palindrome (21122112).

The spelling of 21012000110112 in words is "twenty-one trillion, twelve billion, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 19139 38278 57417 76556 94513 114834 153112 189026 210529 229668 283539 306224 378052 421058 459336 567078 612448 631587 756104 842116 918672 1039643 1134156 1263174 1512208 1684232 1837344 2079286 2268312 2315819 2526348 3024416 3118929 3368464 4158572 4536624 4631638 5052696 6237858 6736928 6947457 8317144 9073248 9263276 10105392 11436073 12475716 13894914 16634288 18526552 20210784 22872146 24951432 27789828 33268576 34308219 37053104 45744292 49902864 55579656 68616438 74106208 91488584 99805728 111159312 137232876 182977168 222318624 274465752 365954336 548931504 1097863008 1808884307 3617768614 5426652921 7235537228 10853305842 14471074456 19897727377 21706611684 28942148912 39795454754 43413223368 57884297824 59693182131 79590909508 86826446736 119386364262 159181819016 173652893472 218875001147 238772728524 318363638032 437750002294 477545457048 636727276064 656625003441 875500004588 955090914096 1313250006882 1751000009176 1910181828192 2626500013764 3502000018352 5253000027528 7004000036704 10506000055056 21012000110112