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20120011001010 = 23351092269301303
BaseRepresentation
bin1001001001100100011100…
…00110111100110010110010
32122020110021011100000201000
410210302032012330302302
510114121240304013020
6110443001102222430
74144423425503124
oct444621606746262
978213234300630
1020120011001010
1164579377563a8
12230b486b84a16
13b2c40285047b
144d7b56c29214
1524d57acb1090
hex124c8e1bccb2

20120011001010 has 128 divisors (see below), whose sum is σ = 54169638336000. Its totient is φ = 5313752430336.

The previous prime is 20120011000981. The next prime is 20120011001099. The reversal of 20120011001010 is 1010011002102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20120011000983 and 20120011001001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66626019 + ... + 66927321.

It is an arithmetic number, because the mean of its divisors is an integer number (423200299500).

Almost surely, 220120011001010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120011001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27084819168000).

20120011001010 is an abundant number, since it is smaller than the sum of its proper divisors (34049627334990).

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

20120011001010 is a wasteful number, since it uses less digits than its factorization.

20120011001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303697 (or 303691 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20120011001010 its reverse (1010011002102), we get a palindrome (21130022003112).

The spelling of 20120011001010 in words is "twenty trillion, one hundred twenty billion, eleven million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 327 545 654 981 1090 1635 1962 2269 2943 3270 4538 4905 5886 6807 9810 11345 13614 14715 20421 22690 29430 34035 40842 61263 68070 102105 122526 204210 247321 301303 306315 494642 602606 612630 741963 903909 1236605 1483926 1506515 1807818 2225889 2473210 2711727 3013030 3709815 4451778 4519545 5423454 6677667 7419630 8135181 9039090 11129445 13355334 13558635 16270362 22258890 27117270 32842027 33388335 40675905 65684054 66776670 81351810 98526081 164210135 197052162 295578243 328420270 492630405 591156486 683656507 886734729 985260810 1367313014 1477891215 1773469458 2050969521 2955782430 3418282535 4101939042 4433673645 6152908563 6836565070 8867347290 10254847605 12305817126 18458725689 20509695210 30764542815 36917451378 61529085630 74518559263 92293628445 149037118526 184587256890 223555677789 372592796315 447111355578 670667033367 745185592630 1117778388945 1341334066734 2012001100101 2235556777890 3353335166835 4024002200202 6706670333670 10060005500505 20120011001010