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2120233200330 = 2357191459364213
BaseRepresentation
bin11110110110100111101…
…111110010101011001010
321111200200200211021011210
4132312213233302223022
5234214214144402310
64302004403433550
7306116232562560
oct36664757625312
97450620737153
102120233200330
11748205404853
122a2ab99858b6
13124c24b5b5ab
1474896b7ba30
153a243699820
hex1eda7bf2aca

2120233200330 has 128 divisors (see below), whose sum is σ = 6125788108800. Its totient is φ = 458802226944.

The previous prime is 2120233200271. The next prime is 2120233200331. The reversal of 2120233200330 is 330023320212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2120233200297 and 2120233200306.

It is not an unprimeable number, because it can be changed into a prime (2120233200331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5639304 + ... + 6003516.

It is an arithmetic number, because the mean of its divisors is an integer number (47857719600).

Almost surely, 22120233200330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120233200330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062894054400).

2120233200330 is an abundant number, since it is smaller than the sum of its proper divisors (4005554908470).

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

2120233200330 is a wasteful number, since it uses less digits than its factorization.

2120233200330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365708.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2120233200330 its reverse (330023320212), we get a palindrome (2450256520542).

The spelling of 2120233200330 in words is "two trillion, one hundred twenty billion, two hundred thirty-three million, two hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1459 1995 2918 3990 4377 7295 8754 10213 14590 20426 21885 27721 30639 43770 51065 55442 61278 83163 102130 138605 153195 166326 194047 277210 306390 364213 388094 415815 582141 728426 831630 970235 1092639 1164282 1821065 1940470 2185278 2549491 2910705 3642130 5098982 5463195 5821410 6920047 7648473 10926390 12747455 13840094 15296946 20760141 25494910 34600235 38242365 41520282 48440329 69200470 76484730 96880658 103800705 145320987 207601410 242201645 290641974 484403290 531386767 726604935 1062773534 1453209870 1594160301 2656933835 3188320602 3719707369 5313867670 7439414738 7970801505 10096348573 11159122107 15941603010 18598536845 20192697146 22318244214 30289045719 37197073690 50481742865 55795610535 60578091438 70674440011 100963485730 111591221070 141348880022 151445228595 212023320033 302890457190 353372200055 424046640066 706744400110 1060116600165 2120233200330