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12334201011 = 32114171127337
BaseRepresentation
bin10110111110010110…
…01111100010110011
31011211120222022221200
423133023033202303
5200230023413021
65355524422243
7614436656466
oct133713174263
934746868850
1012334201011
11525a375860
122482847983
1312174787c2
148501752dd
154c2c88126
hex2df2cf8b3

12334201011 has 96 divisors (see below), whose sum is σ = 20409532416. Its totient is φ = 7112448000.

The previous prime is 12334201003. The next prime is 12334201027. The reversal of 12334201011 is 11010243321.

12334201011 is a `hidden beast` number, since 1 + 233 + 420 + 1 + 0 + 11 = 666.

It is not a de Polignac number, because 12334201011 - 23 = 12334201003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12334201031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36599835 + ... + 36600171.

It is an arithmetic number, because the mean of its divisors is an integer number (212599296).

Almost surely, 212334201011 is an apocalyptic number.

12334201011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12334201011 is a deficient number, since it is larger than the sum of its proper divisors (8075331405).

12334201011 is a wasteful number, since it uses less digits than its factorization.

12334201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12334201011 its reverse (11010243321), we get a palindrome (23344444332).

The spelling of 12334201011 in words is "twelve billion, three hundred thirty-four million, two hundred one thousand, eleven".

Divisors: 1 3 9 11 33 41 71 99 123 127 213 337 369 381 451 639 781 1011 1143 1353 1397 2343 2911 3033 3707 4059 4191 5207 7029 8733 9017 11121 12573 13817 15621 23927 26199 27051 32021 33363 41451 42799 46863 57277 71781 81153 96063 99187 124353 128397 151987 171831 215343 263197 288189 297561 369697 385191 455961 470789 515493 789591 892683 981007 1109091 1367883 1412367 1754759 2368773 2943021 3038729 3327273 4066667 4237101 5264277 8829063 9116187 10791077 12200001 15792831 19302349 27348561 32373231 33426019 36600003 57907047 97119693 100278057 124587889 173721141 300834171 373763667 1121291001 1370466779 4111400337 12334201011