Search a number
-
+
21123301233034 = 27211137703195677
BaseRepresentation
bin1001100110110001001101…
…10111011101000110001010
32202210100221011220120000101
410303120212313131012022
510232041010103424114
6112531524410000014
74310052044662300
oct463304667350612
982710834816011
1021123301233034
116804383954310
122451a06a1600a
13ba2bc368b260
14530532228270
152696eb2ead74
hex133626ddd18a

21123301233034 has 96 divisors (see below), whose sum is σ = 43307555147136. Its totient is φ = 7595766622080.

The previous prime is 21123301233007. The next prime is 21123301233091. The reversal of 21123301233034 is 43033210332112.

It is a junction number, because it is equal to n+sod(n) for n = 21123301232993 and 21123301233011.

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 47 ways as a sum of consecutive naturals, for example, 107852004 + ... + 108047680.

It is an arithmetic number, because the mean of its divisors is an integer number (451120366116).

Almost surely, 221123301233034 is an apocalyptic number.

21123301233034 is an abundant number, since it is smaller than the sum of its proper divisors (22184253914102).

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

21123301233034 is a wasteful number, since it uses less digits than its factorization.

21123301233034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203420 (or 203413 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 21123301233034 its reverse (43033210332112), we get a palindrome (64156511565146).

The spelling of 21123301233034 in words is "twenty-one trillion, one hundred twenty-three billion, three hundred one million, two hundred thirty-three thousand, thirty-four".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1274 2002 7007 7703 14014 15406 53921 84733 100139 107842 169466 195677 200278 377447 391354 593131 700973 754894 1101529 1186262 1369739 1401946 2152447 2203058 2543801 2739478 4151917 4304894 4906811 5087602 7710703 8303834 9588173 9813622 15067129 15421406 17806607 19176346 27981811 30134258 35613214 53974921 55963622 105469903 107949842 124646249 195872677 210939806 249292498 391745354 1371108739 1507299931 2742217478 3014599862 10551099517 16580299241 19594899103 21102199034 33160598482 39189798206 73857696619 116062094687 137164293721 147715393238 215543890133 232124189374 274328587442 431087780266 812434662809 960150056047 1508807230931 1624869325618 1920300112094 3017614461862 10561650616517 21123301233034