Search a number
-
+
211100131120010 = 251121496431820983
BaseRepresentation
bin101111111111111010010100…
…010100111101001110001010
31000200102222100002122122222012
4233333322110110331032022
5210132131032031320020
62024550021134255522
762315324020133546
oct5777722424751612
91020388302578865
10211100131120010
1161299076714800
121b8147529575a2
1390a3870410b72
143a1b42d7cca26
1519612eb2337c5
hexbffe9453d38a

211100131120010 has 96 divisors (see below), whose sum is σ = 421121488233600. Its totient is φ = 76129867313280.

The previous prime is 211100131119989. The next prime is 211100131120033. The reversal of 211100131120010 is 10021131001112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115015979 + ... + 116836961.

It is an arithmetic number, because the mean of its divisors is an integer number (4386682169100).

Almost surely, 2211100131120010 is an apocalyptic number.

211100131120010 is a deficient number, since it is larger than the sum of its proper divisors (210021357113590).

211100131120010 is a wasteful number, since it uses less digits than its factorization.

211100131120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821804 (or 1821793 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 211100131120010 its reverse (10021131001112), we get a palindrome (221121262121122).

The spelling of 211100131120010 in words is "two hundred eleven trillion, one hundred billion, one hundred thirty-one million, one hundred twenty thousand, ten".

Divisors: 1 2 5 10 11 22 55 110 121 149 242 298 605 643 745 1210 1286 1490 1639 3215 3278 6430 7073 8195 14146 16390 18029 35365 36058 70730 77803 90145 95807 155606 180290 191614 389015 479035 778030 958070 1053877 1820983 2107754 3641966 5269385 9104915 10538770 11592647 18209830 20030813 23185294 40061626 57963235 100154065 115926470 200308130 220338943 271326467 440677886 542652934 1101694715 1170892069 1356632335 2203389430 2341784138 2713264670 2984591137 5854460345 5969182274 11708920690 12879812759 14922955685 25759625518 29845911370 32830502507 64399063795 65661005014 128798127590 141677940349 164152512535 174462918281 283355880698 328305025070 348925836562 708389701745 872314591405 1416779403490 1744629182810 1919092101091 3838184202182 9595460505455 19190921010910 21110013112001 42220026224002 105550065560005 211100131120010