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2100220330120 = 2351117503955721
BaseRepresentation
bin11110100011111110111…
…000110000000010001000
321102210000222002010022121
4132203332320300002020
5233402222401030440
64244454454301024
7304510263153313
oct36437670600210
97383028063277
102100220330120
1173a7756951a0
1229b053657774
131230858c8863
1473918ca597a
153997173a34a
hex1e8fee30088

2100220330120 has 128 divisors (see below), whose sum is σ = 5459507827200. Its totient is φ = 718636441600.

The previous prime is 2100220330081. The next prime is 2100220330181. The reversal of 2100220330120 is 210330220012.

It is a junction number, because it is equal to n+sod(n) for n = 2100220330094 and 2100220330103.

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 31 ways as a sum of consecutive naturals, for example, 37663860 + ... + 37719580.

It is an arithmetic number, because the mean of its divisors is an integer number (42652404900).

Almost surely, 22100220330120 is an apocalyptic number.

2100220330120 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 2100220330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729753913600).

2100220330120 is an abundant number, since it is smaller than the sum of its proper divisors (3359287497080).

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

2100220330120 is a wasteful number, since it uses less digits than its factorization.

2100220330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60799 (or 60795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2100220330120 its reverse (210330220012), we get a palindrome (2310550550132).

The spelling of 2100220330120 in words is "two trillion, one hundred billion, two hundred twenty million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 5039 7480 10078 20156 25195 40312 50390 55429 55721 85663 100780 110858 111442 171326 201560 221716 222884 277145 278605 342652 428315 443432 445768 554290 557210 612931 685304 856630 942293 947257 1108580 1114420 1225862 1713260 1884586 1894514 2217160 2228840 2451724 3064655 3426520 3769172 3789028 4711465 4736285 4903448 6129310 7538344 7578056 9422930 9472570 10419827 12258620 18845860 18945140 20839654 24517240 37691720 37890280 41679308 52099135 83358616 104198270 208396540 280778119 416793080 561556238 1123112476 1403890595 2246224952 2807781190 3088559309 4773228023 5615562380 6177118618 9546456046 11231124760 12354237236 15442796545 19092912092 23866140115 24708474472 30885593090 38185824184 47732280230 52505508253 61771186180 95464560460 105011016506 123542372360 190929120920 210022033012 262527541265 420044066024 525055082530 1050110165060 2100220330120