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11045642101065 = 3451113293650927
BaseRepresentation
bin1010000010111100001110…
…0100101110000101001001
31110002221201210022122110000
42200233003210232011021
52421432433334213230
635254144204113213
72220010210506345
oct240570344560511
943087653278400
1011045642101065
113579481008aa0
1212a4877235809
136217a4381a50
142a287d1ca625
151424c867eb60
hexa0bc392e149

11045642101065 has 160 divisors (see below), whose sum is σ = 23341361573376. Its totient is φ = 4926624560640.

The previous prime is 11045642101063. The next prime is 11045642101141. The reversal of 11045642101065 is 56010124654011.

11045642101065 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 5 + 642 + 1 + 0 + 1 + 0 + 6 + 5 = 666.

It is not a de Polignac number, because 11045642101065 - 21 = 11045642101063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11045642101063) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 16643632 + ... + 17294558.

Almost surely, 211045642101065 is an apocalyptic number.

11045642101065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11045642101065 is an abundant number, since it is smaller than the sum of its proper divisors (12295719472311).

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

11045642101065 is a wasteful number, since it uses less digits than its factorization.

11045642101065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651261 (or 651252 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 11045642101065 its reverse (56010124654011), we get a palindrome (67055766755076).

The spelling of 11045642101065 in words is "eleven trillion, forty-five billion, six hundred forty-two million, one hundred one thousand, sixty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 195 293 297 351 405 429 495 585 715 879 891 1053 1287 1465 1485 1755 2145 2637 3223 3809 3861 4395 4455 5265 6435 7911 9669 11427 11583 13185 16115 19045 19305 23733 29007 34281 39555 41899 48345 57135 57915 87021 102843 118665 125697 145035 171405 209495 261063 308529 377091 435105 514215 628485 650927 1131273 1305315 1542645 1885455 1952781 3254635 3393819 5656365 5858343 7160197 8462051 9763905 16969095 17575029 21480591 25386153 29291715 35800985 42310255 52725087 64441773 76158459 87875145 93082561 107402955 126930765 190721611 193325319 228475377 263625435 279247683 322208865 380792295 465412805 572164833 579975957 685426131 837743049 953608055 966626595 1142376885 1396238415 1716494499 2097937721 2479380943 2513229147 2860824165 2899879785 3427130655 4188715245 5149483497 6293813163 7438142829 7539687441 8582472495 10489688605 12396904715 12566145735 15448450491 18881439489 22314428487 25747417485 27273190373 31469065815 37190714145 37698437205 56644318467 66943285461 77242252455 81819571119 94407197445 111572142435 136365951865 169932955401 200829856383 245458713357 283221592335 334716427305 409097855595 736376140071 849664777005 1004149281915 1227293566785 2209128420213 3681880700355 11045642101065