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12035135224353 = 3532412153145879
BaseRepresentation
bin1010111100100010010111…
…1101011011101000100001
31120121112210021012102200010
42233020211331123220201
53034140424104134403
641332510443515133
72351336604335643
oct257104575335041
946545707172603
1012035135224353
1139200880959aa
1214245a6528aa9
13693ba693ac77
142d870a048893
1515d0dc7b2603
hexaf225f5ba21

12035135224353 has 32 divisors (see below), whose sum is σ = 16425196381440. Its totient is φ = 7835679221760.

The previous prime is 12035135224339. The next prime is 12035135224381. The reversal of 12035135224353 is 35342253153021.

It is not a de Polignac number, because 12035135224353 - 221 = 12035133127201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12035135224393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82427868 + ... + 82573746.

It is an arithmetic number, because the mean of its divisors is an integer number (513287386920).

Almost surely, 212035135224353 is an apocalyptic number.

It is an amenable number.

12035135224353 is a deficient number, since it is larger than the sum of its proper divisors (4390061157087).

12035135224353 is a wasteful number, since it uses less digits than its factorization.

12035135224353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148329.

The product of its (nonzero) digits is 324000, while the sum is 39.

Adding to 12035135224353 its reverse (35342253153021), we get a palindrome (47377388377374).

The spelling of 12035135224353 in words is "twelve trillion, thirty-five billion, one hundred thirty-five million, two hundred twenty-four thousand, three hundred fifty-three".

Divisors: 1 3 53 159 241 723 2153 6459 12773 38319 114109 145879 342327 437637 518873 1556619 7731587 23194761 27500269 35156839 82500807 105470517 314077487 942232461 1863312467 5589937401 16646106811 49938320433 75692674367 227078023101 4011711741451 12035135224353