Search a number
-
+
11041133041302 = 23713791447176899
BaseRepresentation
bin1010000010101011011011…
…0100000001011010010110
31110002112002112201200021120
42200222312310001122112
52421344220024310202
635252120531224410
72216460366233460
oct240526664013226
943075075650246
1011041133041302
11357757783a721
1212a3a19148106
13621236155650
142a2572403130
151423128a20bc
hexa0ab6d01696

11041133041302 has 128 divisors (see below), whose sum is σ = 27541377024000. Its totient is φ = 2873083913856.

The previous prime is 11041133041297. The next prime is 11041133041313. The reversal of 11041133041302 is 20314033114011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62326449 + ... + 62503347.

It is an arithmetic number, because the mean of its divisors is an integer number (215167008000).

Almost surely, 211041133041302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11041133041302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770688512000).

11041133041302 is an abundant number, since it is smaller than the sum of its proper divisors (16500243982698).

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

11041133041302 is a wasteful number, since it uses less digits than its factorization.

11041133041302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178450.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11041133041302 its reverse (20314033114011), we get a palindrome (31355166155313).

The spelling of 11041133041302 in words is "eleven trillion, forty-one billion, one hundred thirty-three million, forty-one thousand, three hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 79 91 158 182 237 273 474 546 553 1027 1106 1447 1659 2054 2894 3081 3318 4341 6162 7189 8682 10129 14378 18811 20258 21567 30387 37622 43134 56433 60774 112866 114313 131677 176899 228626 263354 342939 353798 395031 530697 685878 790062 800191 1061394 1238293 1486069 1600382 2299687 2400573 2476586 2972138 3714879 4458207 4599374 4801146 6899061 7429758 8916414 10402483 13798122 13975021 16097809 20804966 27950042 31207449 32195618 41925063 48293427 62414898 83850126 96586854 97825147 181675273 195650294 255972853 293475441 363350546 511945706 545025819 586950882 767918559 1090051638 1271726911 1535837118 1791809971 2543453822 3327647089 3583619942 3815180733 5375429913 6655294178 7630361466 9982941267 10750859826 19965882534 20221855387 23293529623 40443710774 46587059246 60665566161 69880588869 121331132322 139761177738 141552987709 262884120031 283105975418 424658963127 525768240062 788652360093 849317926254 1577304720186 1840188840217 3680377680434 5520566520651 11041133041302