Search a number
-
+
2000210122020 = 22351115719303321
BaseRepresentation
bin11101000110110101110…
…100000101010100100100
321002012220002020011012010
4131012311310011110210
5230232412242401040
64130514524354220
7264340033340505
oct35066564052444
97065802204163
102000210122020
11701314517650
122837a23a5970
13116807c53926
146cb4c748bac
153706b685e80
hex1d1b5d05524

2000210122020 has 96 divisors (see below), whose sum is σ = 6148648550016. Its totient is φ = 481810867200.

The previous prime is 2000210122007. The next prime is 2000210122049. The reversal of 2000210122020 is 202210120002.

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 = 2000210121987 and 2000210122005.

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, 9548041 + ... + 9755280.

It is an arithmetic number, because the mean of its divisors is an integer number (64048422396).

Almost surely, 22000210122020 is an apocalyptic number.

2000210122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000210122020 is an abundant number, since it is smaller than the sum of its proper divisors (4148438427996).

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

2000210122020 is a wasteful number, since it uses less digits than its factorization.

2000210122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19303501 (or 19303499 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2000210122020 its reverse (202210120002), we get a palindrome (2202420242022).

The spelling of 2000210122020 in words is "two trillion, two hundred ten million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 628 660 785 942 1570 1727 1884 2355 3140 3454 4710 5181 6908 8635 9420 10362 17270 20724 25905 34540 51810 103620 19303321 38606642 57909963 77213284 96516605 115819926 193033210 212336531 231639852 289549815 386066420 424673062 579099630 637009593 849346124 1061682655 1158199260 1274019186 2123365310 2548038372 3030621397 3185047965 4246730620 6061242794 6370095930 9091864191 12122485588 12740191860 15153106985 18183728382 30306213970 33336835367 36367456764 45459320955 60612427940 66673670734 90918641910 100010506101 133347341468 166684176835 181837283820 200021012202 333368353670 400042024404 500052530505 666736707340 1000105061010 2000210122020