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11032355034225 = 3252747149035529
BaseRepresentation
bin1010000010001010101110…
…0110100101010001110001
31110001200102210100201022100
42200202223212211101301
52421223230342043400
635244105520131013
72216030020346220
oct240425346452161
943050383321270
1011032355034225
113573882893018
1212a2189466a69
1362046768cc15
142a1d7c696cb7
15141e9be26100
hexa08ab9a5471

11032355034225 has 72 divisors (see below), whose sum is σ = 23063546338560. Its totient is φ = 4936056687360.

The previous prime is 11032355034191. The next prime is 11032355034289. The reversal of 11032355034225 is 52243055323011.

11032355034225 is a `hidden beast` number, since 1 + 10 + 3 + 235 + 50 + 342 + 25 = 666.

It is not a de Polignac number, because 11032355034225 - 210 = 11032355033201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11032355034225.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 74443740 + ... + 74591789.

It is an arithmetic number, because the mean of its divisors is an integer number (320327032480).

Almost surely, 211032355034225 is an apocalyptic number.

11032355034225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11032355034225 is an abundant number, since it is smaller than the sum of its proper divisors (12031191304335).

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

11032355034225 is a wasteful number, since it uses less digits than its factorization.

11032355034225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149035599 (or 149035591 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 11032355034225 in words is "eleven trillion, thirty-two billion, three hundred fifty-five million, thirty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 47 63 75 105 141 175 225 235 315 329 423 525 705 987 1175 1575 1645 2115 2961 3525 4935 8225 10575 14805 24675 74025 149035529 447106587 745177645 1043248703 1341319761 2235532935 3129746109 3725888225 5216243515 6706598805 7004669863 9389238327 11177664675 15648730545 21014009589 26081217575 33532994025 35023349315 46946191635 49032689041 63042028767 78243652725 105070047945 147098067123 175116746575 234730958175 245163445205 315210143835 441294201369 525350239725 735490335615 1225817226025 1576050719175 2206471006845 3677451678075 11032355034225