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11051305641234 = 23653373383417
BaseRepresentation
bin1010000011010001010100…
…1001011010010100010010
31110010111100111021022000000
42200310111021122110102
52422031033221004414
635300522201310430
72220300441013305
oct240642511322422
943114314238000
1011051305641234
113580917a22601
1212a5997a95416
13622197825651
142a2c59454b3c
1514270a9a5b09
hexa0d1525a512

11051305641234 has 112 divisors (see below), whose sum is σ = 25390969053912. Its totient is φ = 3604564364544.

The previous prime is 11051305641223. The next prime is 11051305641269. The reversal of 11051305641234 is 43214650315011.

11051305641234 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 1 + 3 + 0 + 5 + 641 + 2 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10917242015625 + 134063625609 = 3304125^2 + 366147^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28631494 + ... + 29014910.

Almost surely, 211051305641234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11051305641234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12695484526956).

11051305641234 is an abundant number, since it is smaller than the sum of its proper divisors (14339663412678).

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

11051305641234 is an equidigital number, since it uses as much as digits as its factorization.

11051305641234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383863 (or 383848 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 11051305641234 its reverse (43214650315011), we get a palindrome (54265955956245).

The spelling of 11051305641234 in words is "eleven trillion, fifty-one billion, three hundred five million, six hundred forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 373 477 486 729 746 954 1119 1431 1458 2238 2862 3357 4293 6714 8586 10071 12879 19769 20142 25758 30213 38637 39538 59307 60426 77274 90639 118614 177921 181278 271917 355842 383417 533763 543834 766834 1067526 1150251 1601289 2300502 3202578 3450753 4803867 6901506 9607734 10352259 14411601 20321101 20704518 28823202 31056777 40642202 60963303 62113554 93170331 121926606 143014541 182889909 186340662 279510993 286029082 365779818 429043623 548669727 559021986 858087246 1097339454 1287130869 1646009181 2574261738 3292018362 3861392607 4938027543 7579770673 7722785214 9876055086 11584177821 14814082629 15159541346 22739312019 23168355642 29628165258 34752533463 45478624038 68217936057 69505066926 104257600389 136435872114 204653808171 208515200778 409307616342 613961424513 1227922849026 1841884273539 3683768547078 5525652820617 11051305641234