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11133834805830 = 23511197125010299
BaseRepresentation
bin1010001000000100110001…
…0001001100001001000110
31110102101101002110020120210
42202001030101030021012
52424404043202241310
635402451343540250
72226251543232522
oct242011421141106
943371332406523
1011133834805830
113602918542460
1212b998a8ba686
13629bba92b559
142a6c48072d82
1514493b011820
hexa204c44c246

11133834805830 has 128 divisors (see below), whose sum is σ = 31116814848000. Its totient is φ = 2521038038400.

The previous prime is 11133834805829. The next prime is 11133834805837. The reversal of 11133834805830 is 3850843833111.

It is a self number, because there is not a number n which added to its sum of digits gives 11133834805830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133834805837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12059980 + ... + 12950319.

It is an arithmetic number, because the mean of its divisors is an integer number (243100116000).

Almost surely, 211133834805830 is an apocalyptic number.

11133834805830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11133834805830 is an abundant number, since it is smaller than the sum of its proper divisors (19982980042170).

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

11133834805830 is a wasteful number, since it uses less digits than its factorization.

11133834805830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25010410.

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 11133834805830 in words is "eleven trillion, one hundred thirty-three billion, eight hundred thirty-four million, eight hundred five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 71 95 110 114 142 165 190 209 213 285 330 355 418 426 570 627 710 781 1045 1065 1254 1349 1562 2090 2130 2343 2698 3135 3905 4047 4686 6270 6745 7810 8094 11715 13490 14839 20235 23430 29678 40470 44517 74195 89034 148390 222585 445170 25010299 50020598 75030897 125051495 150061794 250102990 275113289 375154485 475195681 550226578 750308970 825339867 950391362 1375566445 1425587043 1650679734 1775731229 2375978405 2751132890 2851174086 3551462458 4126699335 4751956810 5227152491 5327193687 7127935215 8253398670 8878656145 10454304982 10654387374 14255870430 15681457473 17757312290 19533043519 26135762455 26635968435 31362914946 33738893351 39066087038 52271524910 53271936870 58599130557 67477786702 78407287365 97665217595 101216680053 117198261114 156814574730 168694466755 195330435190 202433360106 292995652785 337388933510 371127826861 506083400265 585991305570 742255653722 1012166800530 1113383480583 1855639134305 2226766961166 3711278268610 5566917402915 11133834805830