Search a number
-
+
2221020122120 = 2355328310693463
BaseRepresentation
bin100000010100011111000…
…111011000110000001000
321212022211201012101011222
4200110133013120300020
5242342122122401440
64420153401141212
7316314643354652
oct40243707306010
97768751171158
102221020122120
11786a24a58938
122ba54718a808
131315976c2217
14796d85216d2
153cb91a262b5
hex2051f1d8c08

2221020122120 has 128 divisors (see below), whose sum is σ = 5115831955200. Its totient is φ = 867502531584.

The previous prime is 2221020122099. The next prime is 2221020122201. The reversal of 2221020122120 is 212210201222.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641355509 + ... + 641358971.

It is an arithmetic number, because the mean of its divisors is an integer number (39967437150).

Almost surely, 22221020122120 is an apocalyptic number.

2221020122120 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 2221020122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557915977600).

2221020122120 is an abundant number, since it is smaller than the sum of its proper divisors (2894811833080).

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

2221020122120 is a wasteful number, since it uses less digits than its factorization.

2221020122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4879 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2221020122120 its reverse (212210201222), we get a palindrome (2433230323342).

The spelling of 2221020122120 in words is "two trillion, two hundred twenty-one billion, twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 283 424 530 566 1060 1069 1132 1415 2120 2138 2264 2830 3463 4276 5345 5660 6926 8552 10690 11320 13852 14999 17315 21380 27704 29998 34630 42760 56657 59996 69260 74995 113314 119992 138520 149990 183539 226628 283285 299980 302527 367078 453256 566570 599960 605054 734156 917695 980029 1133140 1210108 1468312 1512635 1835390 1960058 2266280 2420216 3025270 3670780 3701947 3920116 4900145 6050540 7341560 7403894 7840232 9800290 12101080 14807788 16033931 18509735 19600580 29615576 32067862 37019470 39201160 51941537 64135724 74038940 80169655 103883074 128271448 148077880 160339310 196203191 207766148 259707685 320678620 392406382 415532296 519415370 641357240 784812764 981015955 1038830740 1047651001 1569625528 1962031910 2077661480 2095302002 3924063820 4190604004 5238255005 7848127640 8381208008 10476510010 20953020020 41906040040 55525503053 111051006106 222102012212 277627515265 444204024424 555255030530 1110510061060 2221020122120