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21012113001120 = 2535104634183813
BaseRepresentation
bin1001100011100010000111…
…00010000000101010100000
32202101201221021122010212220
410301301003202000222200
510223230301412013440
6112404455332151040
74266034514415663
oct461610342005240
982351837563786
1021012113001120
116771207005a5a
122434356168480
13b95583c5a457
14528dc52d96da
1526688ec3e8d0
hex131c43880aa0

21012113001120 has 96 divisors (see below), whose sum is σ = 66194497700352. Its totient is φ = 5602693266432.

The previous prime is 21012113000951. The next prime is 21012113001151. The reversal of 21012113001120 is 2110031121012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×210121130011202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21012113001120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2930334 + ... + 7114146.

It is an arithmetic number, because the mean of its divisors is an integer number (689526017712).

Almost surely, 221012113001120 is an apocalyptic number.

21012113001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012113001120 is an abundant number, since it is smaller than the sum of its proper divisors (45182384699232).

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

21012113001120 is a wasteful number, since it uses less digits than its factorization.

21012113001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194294 (or 4194286 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21012113001120 its reverse (2110031121012), we get a palindrome (23122144122132).

The spelling of 21012113001120 in words is "twenty-one trillion, twelve billion, one hundred thirteen million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 10463 20926 31389 41852 52315 62778 83704 104630 125556 156945 167408 209260 251112 313890 334816 418520 502224 627780 837040 1004448 1255560 1674080 2511120 4183813 5022240 8367626 12551439 16735252 20919065 25102878 33470504 41838130 50205756 62757195 66941008 83676260 100411512 125514390 133882016 167352520 200823024 251028780 334705040 401646048 502057560 669410080 1004115120 2008230240 43775235419 87550470838 131325706257 175100941676 218876177095 262651412514 350201883352 437752354190 525302825028 656628531285 700403766704 875504708380 1050605650056 1313257062570 1400807533408 1751009416760 2101211300112 2626514125140 3502018833520 4202422600224 5253028250280 7004037667040 10506056500560 21012113001120