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20120130011100 = 22352738892463619
BaseRepresentation
bin1001001001100100101010…
…01100111011111111011100
32122020110120110021100212010
410210302111030323333130
510114122011240323400
6110443020553111220
74144426402202250
oct444622514737734
978213513240763
1020120130011100
116457998951449
12230b4ba9b8510
13b2c4213bb942
144d7b68968260
1524d58646d450
hex124c9533bfdc

20120130011100 has 144 divisors (see below), whose sum is σ = 66547697619200. Its totient is φ = 4597702456320.

The previous prime is 20120130011057. The next prime is 20120130011159. The reversal of 20120130011100 is 111003102102.

It is a super-2 number, since 2×201201300111002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6935091 + ... + 9398709.

Almost surely, 220120130011100 is an apocalyptic number.

20120130011100 is a gapful number since it is divisible by the number (20) 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 20120130011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33273848809600).

20120130011100 is an abundant number, since it is smaller than the sum of its proper divisors (46427567608100).

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

20120130011100 is a wasteful number, since it uses less digits than its factorization.

20120130011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467532 (or 2467525 counting only the distinct ones).

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

Adding to 20120130011100 its reverse (111003102102), we get a palindrome (20231133113202).

The spelling of 20120130011100 in words is "twenty trillion, one hundred twenty billion, one hundred thirty million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3889 7778 11667 15556 19445 23334 27223 38890 46668 54446 58335 77780 81669 97225 108892 116670 136115 163338 194450 233340 272230 291675 326676 388900 408345 544460 583350 680575 816690 1166700 1361150 1633380 2041725 2463619 2722300 4083450 4927238 7390857 8166900 9854476 12318095 14781714 17245333 24636190 29563428 34490666 36954285 49272380 51735999 61590475 68981332 73908570 86226665 103471998 123180950 147817140 172453330 184771425 206943996 246361900 258679995 344906660 369542850 431133325 517359990 739085700 862266650 1034719980 1293399975 1724533300 2586799950 5173599900 9581014291 19162028582 28743042873 38324057164 47905071455 57486085746 67067100037 95810142910 114972171492 134134200074 143715214365 191620285820 201201300111 239525357275 268268400148 287430428730 335335500185 402402600222 479050714550 574860857460 670671000370 718576071825 804805200444 958101429100 1006006500555 1341342000740 1437152143650 1676677500925 2012013001110 2874304287300 3353355001850 4024026002220 5030032502775 6706710003700 10060065005550 20120130011100