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2111303100220 = 2252923112731883
BaseRepresentation
bin11110101110010011011…
…110001010011100111100
321110211122100021011210021
4132232103132022130330
5234042422043201340
64253530320421524
7305352026150356
oct36562336123474
97424570234707
102111303100220
11744442616426
122a12271778a4
13124130a133a2
147428ab600d6
1539dbe6c8e4a
hex1eb9378a73c

2111303100220 has 144 divisors (see below), whose sum is σ = 4777494478848. Its totient is φ = 782858684160.

The previous prime is 2111303100161. The next prime is 2111303100253. The reversal of 2111303100220 is 220013031112.

It is a junction number, because it is equal to n+sod(n) for n = 2111303100194 and 2111303100203.

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, 66204399 + ... + 66236281.

It is an arithmetic number, because the mean of its divisors is an integer number (33177044992).

Almost surely, 22111303100220 is an apocalyptic number.

2111303100220 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 2111303100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388747239424).

2111303100220 is an abundant number, since it is smaller than the sum of its proper divisors (2666191378628).

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

2111303100220 is a wasteful number, since it uses less digits than its factorization.

2111303100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32108 (or 32077 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2111303100220 its reverse (220013031112), we get a palindrome (2331316131332).

The spelling of 2111303100220 in words is "two trillion, one hundred eleven billion, three hundred three million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 127 145 155 254 290 310 508 580 620 635 841 899 1270 1682 1798 2540 3364 3596 3683 3937 4205 4495 7366 7874 8410 8990 14732 15748 16820 17980 18415 19685 26071 31883 36830 39370 52142 63766 73660 78740 104284 106807 114173 127532 130355 159415 213614 228346 260710 318830 427228 456692 521420 534035 570865 637660 924607 988373 1068070 1141730 1849214 1976746 2136140 2283460 3311017 3698428 3953492 4049141 4623035 4941865 6622034 8098282 9246070 9883730 13244068 16196564 16555085 18492140 19767460 20245705 26813603 28662817 33110170 40491410 53627206 57325634 66220340 80982820 107254412 114651268 117425089 125523371 134068015 143314085 234850178 251046742 268136030 286628170 469700356 502093484 536272060 573256340 587125445 627616855 831221693 1174250890 1255233710 1662443386 2348501780 2510467420 3324886772 3405327581 3640177759 4156108465 6810655162 7280355518 8312216930 13621310324 14560711036 16624433860 17026637905 18200888795 34053275810 36401777590 68106551620 72803555180 105565155011 211130310022 422260620044 527825775055 1055651550110 2111303100220