Search a number
-
+
2042522331213 = 3713193725741411
BaseRepresentation
bin11101101110001111110…
…100010110100001001101
321020021002220010002102010
4131232033310112201031
5231431041204044323
64202153302051433
7300365415233130
oct35561764264115
97207086102363
102042522331213
11718257675681
1228ba30719b79
1311a7bc0645c0
1470c04042217
15381e6151c93
hex1db8fd1684d

2042522331213 has 128 divisors (see below), whose sum is σ = 3637789102080. Its totient is φ = 989196779520.

The previous prime is 2042522331197. The next prime is 2042522331257. The reversal of 2042522331213 is 3121332252402.

It is not a de Polignac number, because 2042522331213 - 24 = 2042522331197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042522331313) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 49302478 + ... + 49343888.

It is an arithmetic number, because the mean of its divisors is an integer number (28420227360).

Almost surely, 22042522331213 is an apocalyptic number.

It is an amenable number.

2042522331213 is a deficient number, since it is larger than the sum of its proper divisors (1595266770867).

2042522331213 is a wasteful number, since it uses less digits than its factorization.

2042522331213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41747.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 2042522331213 its reverse (3121332252402), we get a palindrome (5163854583615).

The spelling of 2042522331213 in words is "two trillion, forty-two billion, five hundred twenty-two million, three hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 7 13 19 21 37 39 57 91 111 133 247 257 259 273 399 481 703 741 771 777 1443 1729 1799 2109 3341 3367 4883 4921 5187 5397 9139 9509 10023 10101 14649 14763 23387 27417 28527 34181 41411 63479 63973 66563 70161 102543 123617 124233 180671 190437 191919 199689 289877 370851 444353 538343 542013 786809 865319 869631 1264697 1333059 1532207 1615029 2348723 2360427 2595957 3768401 3794091 4596621 5507663 7046169 10228517 10642627 10725449 11305203 16441061 16522989 19918691 29111933 30685551 31927881 32176347 49323183 59756073 71599619 74498389 87335799 138354151 139430837 202209913 203783531 214798857 223495167 378455129 393777199 415062453 418292511 606629739 611350593 968479057 1135365387 1181331597 1415469391 2628728869 2649185903 2756440393 2905437171 4246408173 5119103587 7481766781 7886186607 7947557709 8269321179 15357310761 18401102083 22445300343 35833725109 52372367467 55203306249 97262968153 107501175327 157117102401 291788904459 680840777071 2042522331213