Search a number
-
+
2013320330322 = 2371745720293041
BaseRepresentation
bin11101010011000011001…
…111100011110001010010
321010110201202101202000120
4131103003033203301102
5230441240001032242
64140523453531110
7265312645305240
oct35230317436122
97113652352016
102013320330322
11706931926144
12286240aa3a96
13117b17101732
146d6339a1790
15375876071ec
hex1d4c33e3c52

2013320330322 has 128 divisors (see below), whose sum is σ = 4887248970240. Its totient is φ = 539768586240.

The previous prime is 2013320330299. The next prime is 2013320330363. The reversal of 2013320330322 is 2230330233102.

It is a junction number, because it is equal to n+sod(n) for n = 2013320330292 and 2013320330301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 662057122 + ... + 662060162.

It is an arithmetic number, because the mean of its divisors is an integer number (38181632580).

Almost surely, 22013320330322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013320330322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443624485120).

2013320330322 is an abundant number, since it is smaller than the sum of its proper divisors (2873928639918).

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

2013320330322 is a wasteful number, since it uses less digits than its factorization.

2013320330322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 2013320330322 its reverse (2230330233102), we get a palindrome (4243650563424).

The spelling of 2013320330322 in words is "two trillion, thirteen billion, three hundred twenty million, three hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 457 714 914 1371 2029 2742 3041 3199 4058 6082 6087 6398 7769 9123 9597 12174 14203 15538 18246 19194 21287 23307 28406 34493 42574 42609 46614 51697 54383 63861 68986 85218 103394 103479 108766 127722 155091 163149 206958 241451 310182 326298 361879 482902 723758 724353 927253 1085637 1389737 1448706 1854506 2171274 2779474 2781759 4169211 5563518 6170189 6490771 8338422 9728159 12340378 12981542 15763301 18510567 19456318 19472313 23625529 29184477 31526602 37021134 38944626 43191323 47251058 47289903 58368954 70876587 86382646 94579806 104893213 110343107 129573969 141753174 165378703 209786426 220686214 259147938 314679639 330757406 331029321 496136109 629359278 662058642 734252491 992272218 1468504982 2202757473 2819776373 4405514946 5639552746 8459329119 16918658238 19738434611 39476869222 47936198341 59215303833 95872396682 118430607666 143808595023 287617190046 335553388387 671106776774 1006660165161 2013320330322