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10003522521114 = 232171063275311171
BaseRepresentation
bin1001000110010010000001…
…1010000000100000011010
31022102022211200110212101100
42101210200122000200122
52302344203231133424
633135315500532230
72051505420313203
oct221444032004032
938368750425340
1010003522521114
1132075197432a1
1211568bb551076
13577435b7b945
1426825ccb05aa
151253342ecdc9
hex9192068081a

10003522521114 has 96 divisors (see below), whose sum is σ = 22981247662464. Its totient is φ = 3133988167680.

The previous prime is 10003522521107. The next prime is 10003522521119. The reversal of 10003522521114 is 41112522530001.

It is a happy number.

10003522521114 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 5 + 22 + 521 + 114 = 666.

It is a super-3 number, since 3×100035225211143 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10003522521119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895484749 + ... + 895495919.

It is an arithmetic number, because the mean of its divisors is an integer number (239387996484).

Almost surely, 210003522521114 is an apocalyptic number.

10003522521114 is an abundant number, since it is smaller than the sum of its proper divisors (12977725141350).

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

10003522521114 is a wasteful number, since it uses less digits than its factorization.

10003522521114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15012 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10003522521114 in words is "ten trillion, three billion, five hundred twenty-two million, five hundred twenty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1063 2126 2753 3189 5506 6378 8259 9567 11171 16518 18071 19134 22342 24777 33513 36142 46801 49554 54213 67026 93602 100539 108426 140403 162639 189907 201078 280806 325278 379814 421209 569721 842418 1139442 1709163 2926439 3418326 5852878 8779317 11874773 17558634 23749546 26337951 30753763 35624319 49749463 52675902 61507526 71248638 92261289 99498926 106872957 149248389 184522578 201871141 213745914 276783867 298496778 403742282 447745167 522813971 553567734 605613423 895490334 1045627942 1211226846 1568441913 1816840269 3136883826 3633680538 4705325739 9410651478 32691250069 65382500138 98073750207 196147500414 294221250621 555751251173 588442501242 1111502502346 1667253753519 3334507507038 5001761260557 10003522521114