Search a number
-
+
2122120101210 = 2353771106925189
BaseRepresentation
bin11110111000011000001…
…101101111110101011010
321111212120012100202120120
4132320120031233311122
5234232100221214320
64302515530334110
7306214054144404
oct36703015576532
97455505322516
102122120101210
11748a9352336a
122a334588a336
13125165a56aa5
14749d55d5b74
153a30416b440
hex1ee1836fd5a

2122120101210 has 128 divisors (see below), whose sum is σ = 5309584473600. Its totient is φ = 542319805440.

The previous prime is 2122120101203. The next prime is 2122120101221. The reversal of 2122120101210 is 121010212212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122120101210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84235296 + ... + 84260484.

It is an arithmetic number, because the mean of its divisors is an integer number (41481128700).

Almost surely, 22122120101210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122120101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654792236800).

2122120101210 is an abundant number, since it is smaller than the sum of its proper divisors (3187464372390).

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

2122120101210 is a wasteful number, since it uses less digits than its factorization.

2122120101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26376.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122120101210 its reverse (121010212212), we get a palindrome (2243130313422).

The spelling of 2122120101210 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 71 74 111 142 185 213 222 355 370 426 555 710 1065 1069 1110 2130 2138 2627 3207 5254 5345 6414 7881 10690 13135 15762 16035 25189 26270 32070 39405 39553 50378 75567 75899 78810 79106 118659 125945 151134 151798 197765 227697 237318 251890 377835 379495 395530 455394 593295 755670 758990 931993 1138485 1186590 1788419 1863986 2276970 2795979 2808263 3576838 4659965 5365257 5591958 5616526 8424789 8942095 9319930 10730514 13979895 14041315 16849578 17884190 26826285 26927041 27959790 28082630 42123945 53652570 53854082 66171503 80781123 84247890 132343006 134635205 161562246 198514509 269270410 330857515 397029018 403905615 661715030 807811230 992572545 996300517 1911819911 1985145090 1992601034 2988901551 3823639822 4981502585 5735459733 5977803102 9559099555 9963005170 11470919466 14944507755 19118199110 28677298665 29889015510 57354597330 70737336707 141474673414 212212010121 353686683535 424424020242 707373367070 1061060050605 2122120101210