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10330011212103 = 32111719378730947
BaseRepresentation
bin1001011001010010010010…
…1001100001100101000111
31100120112120020112211001200
42112110210221201211013
52323221330332241403
633545312554353543
72114214210354102
oct226244451414507
940515506484050
1010330011212103
113322a2a032150
1211aa037a2b8b3
1359c1677766ab
14279d91d97739
1512da921e2ca3
hex96524a61947

10330011212103 has 96 divisors (see below), whose sum is σ = 18632541507840. Its totient is φ = 5431346887680.

The previous prime is 10330011212089. The next prime is 10330011212107. The reversal of 10330011212103 is 30121211003301.

10330011212103 is a `hidden beast` number, since 1 + 0 + 330 + 0 + 1 + 121 + 210 + 3 = 666.

It is not a de Polignac number, because 10330011212103 - 25 = 10330011212071 is a prime.

It is a super-3 number, since 3×103300112121033 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330011212107) 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 95 ways as a sum of consecutive naturals, for example, 3182325 + ... + 5548622.

It is an arithmetic number, because the mean of its divisors is an integer number (194088974040).

Almost surely, 210330011212103 is an apocalyptic number.

10330011212103 is a deficient number, since it is larger than the sum of its proper divisors (8302530295737).

10330011212103 is a wasteful number, since it uses less digits than its factorization.

10330011212103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8731037 (or 8731034 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10330011212103 its reverse (30121211003301), we get a palindrome (40451222215404).

The spelling of 10330011212103 in words is "ten trillion, three hundred thirty billion, eleven million, two hundred twelve thousand, one hundred three".

Divisors: 1 3 9 11 17 19 33 37 51 57 99 111 153 171 187 209 323 333 407 561 627 629 703 969 1221 1683 1881 1887 2109 2907 3553 3663 5661 6327 6919 7733 10659 11951 20757 23199 31977 35853 62271 69597 107559 131461 394383 1183149 8730947 26192841 78578523 96040417 148426099 165887993 288121251 323045039 445278297 497663979 864363753 969135117 1335834891 1492991937 1632687089 1824767923 2820095881 2907405351 3553495429 4898061267 5474303769 5491765663 6137855741 8460287643 10660486287 14694183801 16422911307 16475296989 18413567223 25380862929 31021054691 31981458861 49425890967 55240701669 60409422293 67516413151 93063164073 104343547597 181228266879 202549239453 279189492219 313030642791 543684800637 607647718359 939091928373 1147779023567 3443337070701 10330011212103