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111020200001220 = 223553275312681443
BaseRepresentation
bin11001001111100011100111…
…100101010111111011000100
3112120002102112121211120221110
4121033203213211113323010
5104022423332200014340
61032041550434245020
732245642023453456
oct3117434745277304
9476072477746843
10111020200001220
1132413447678a74
1210550560426770
1349c42104cc633
141d5b5990522d6
15cc7d5454e680
hex64f8e7957ec4

111020200001220 has 96 divisors (see below), whose sum is σ = 316836849151872. Its totient is φ = 29036241215488.

The previous prime is 111020200001213. The next prime is 111020200001237. The reversal of 111020200001220 is 22100002020111.

It is a super-3 number, since 3×1110202000012203 (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 111020200001196 and 111020200001205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2413819 + ... + 15095261.

It is an arithmetic number, because the mean of its divisors is an integer number (3300383845332).

Almost surely, 2111020200001220 is an apocalyptic number.

111020200001220 is a gapful number since it is divisible by the number (10) 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 111020200001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158418424575936).

111020200001220 is an abundant number, since it is smaller than the sum of its proper divisors (205816649150652).

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

111020200001220 is a wasteful number, since it uses less digits than its factorization.

111020200001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684261 (or 12684259 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 111020200001220 its reverse (22100002020111), we get a palindrome (133120202021331).

The spelling of 111020200001220 in words is "one hundred eleven trillion, twenty billion, two hundred million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 2753 3180 5506 8259 11012 13765 16518 27530 33036 41295 55060 82590 145909 165180 291818 437727 583636 729545 875454 1459090 1750908 2188635 2918180 4377270 8754540 12681443 25362886 38044329 50725772 63407215 76088658 126814430 152177316 190221645 253628860 380443290 672116479 760886580 1344232958 2016349437 2688465916 3360582395 4032698874 6721164790 8065397748 10081747185 13442329580 20163494370 34912012579 40326988740 69824025158 104736037737 139648050316 174560062895 209472075474 349120125790 418944150948 523680188685 698240251580 1047360377370 1850336666687 2094720754740 3700673333374 5551010000061 7401346666748 9251683333435 11102020000122 18503366666870 22204040000244 27755050000305 37006733333740 55510100000610 111020200001220