Search a number
-
+
2112140442220 = 2252313982939847
BaseRepresentation
bin11110101111000101011…
…000010111101001101100
321110220210200212120001221
4132233011120113221230
5234101130423122340
64254145351513124
7305411544351604
oct36570530275154
97426720776057
102112140442220
11744832241906
122a141b6887a4
1312423533c023
147432a049c04
1539e1ce7a44a
hex1ebc5617a6c

2112140442220 has 96 divisors (see below), whose sum is σ = 4667380300800. Its totient is φ = 801321548544.

The previous prime is 2112140442163. The next prime is 2112140442233. The reversal of 2112140442220 is 222440412112.

It is a super-2 number, since 2×21121404422202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52986337 + ... + 53026183.

It is an arithmetic number, because the mean of its divisors is an integer number (48618544800).

Almost surely, 22112140442220 is an apocalyptic number.

2112140442220 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 2112140442220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333690150400).

2112140442220 is an abundant number, since it is smaller than the sum of its proper divisors (2555239858580).

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

2112140442220 is a wasteful number, since it uses less digits than its factorization.

2112140442220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40847 (or 40845 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 2112140442220 its reverse (222440412112), we get a palindrome (2334580854332).

The spelling of 2112140442220 in words is "two trillion, one hundred twelve billion, one hundred forty million, four hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 139 230 278 460 556 695 829 1390 1658 2780 3197 3316 4145 6394 8290 12788 15985 16580 19067 31970 38134 39847 63940 76268 79694 95335 115231 159388 190670 199235 230462 381340 398470 460924 576155 796940 916481 1152310 1832962 2304620 2650313 3665924 4582405 5300626 5538733 9164810 10601252 11077466 13251565 18329620 22154932 26503130 27693665 33033163 53006260 55387330 66066326 110774660 127390859 132132652 165165815 254781718 330331630 509563436 636954295 660663260 759762749 1273908590 1519525498 2547817180 3039050996 3798813745 4591609657 7597627490 9183219314 15195254980 18366438628 22958048285 45916096570 91832193140 105607022111 211214044222 422428088444 528035110555 1056070221110 2112140442220