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20123010130320 = 2432557794836239
BaseRepresentation
bin1001001001101010000001…
…10111101110000110010000
32122020202000011201120200100
410210311000313232012100
510114143411043132240
6110444214440052400
74144560643621266
oct444650067560620
978222004646610
1020123010130320
116459136681669
12230bb83464100
13b2c78ccbb5b6
144d7d5d286436
1524d6a4231e30
hex124d40dee190

20123010130320 has 120 divisors (see below), whose sum is σ = 67591483689600. Its totient is φ = 5365206367488.

The previous prime is 20123010130259. The next prime is 20123010130343. The reversal of 20123010130320 is 2303101032102.

20123010130320 is a `hidden beast` number, since 2 + 0 + 12 + 301 + 0 + 1 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×201230101303202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20123010130293 and 20123010130302.

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 23 ways as a sum of consecutive naturals, for example, 1742761 + ... + 6578999.

It is an arithmetic number, because the mean of its divisors is an integer number (563262364080).

Almost surely, 220123010130320 is an apocalyptic number.

20123010130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123010130320 is an abundant number, since it is smaller than the sum of its proper divisors (47468473559280).

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

20123010130320 is a wasteful number, since it uses less digits than its factorization.

20123010130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842037 (or 4842028 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20123010130320 its reverse (2303101032102), we get a palindrome (22426111162422).

The spelling of 20123010130320 in words is "twenty trillion, one hundred twenty-three billion, ten million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5779 11558 17337 23116 28895 34674 46232 52011 57790 69348 86685 92464 104022 115580 138696 173370 208044 231160 260055 277392 346740 416088 462320 520110 693480 832176 1040220 1386960 2080440 4160880 4836239 9672478 14508717 19344956 24181195 29017434 38689912 43526151 48362390 58034868 72543585 77379824 87052302 96724780 116069736 145087170 174104604 193449560 217630755 232139472 290174340 348209208 386899120 435261510 580348680 696418416 870523020 1160697360 1741046040 3482092080 27948625181 55897250362 83845875543 111794500724 139743125905 167691751086 223589001448 251537626629 279486251810 335383502172 419229377715 447178002896 503075253258 558972503620 670767004344 838458755430 1006150506516 1117945007240 1257688133145 1341534008688 1676917510860 2012301013032 2235890014480 2515376266290 3353835021720 4024602026064 5030752532580 6707670043440 10061505065160 20123010130320