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12230320311 = 32111923282697
BaseRepresentation
bin10110110001111101…
…11110000010110111
31011120100111122102100
423120332332002313
5200021430222221
65341334113143
7612036002346
oct133076760267
934510448370
1012230320311
115206773740
122453aab7b3
1311cbaa6831
14840453b5d
154b8ab8926
hex2d8fbe0b7

12230320311 has 48 divisors (see below), whose sum is σ = 21168426240. Its totient is φ = 6716856960.

The previous prime is 12230320261. The next prime is 12230320321. The reversal of 12230320311 is 11302303221.

12230320311 is a `hidden beast` number, since 1 + 2 + 2 + 30 + 320 + 311 = 666.

It is not a de Polignac number, because 12230320311 - 26 = 12230320247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230320321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98086 + ... + 184611.

It is an arithmetic number, because the mean of its divisors is an integer number (441008880).

Almost surely, 212230320311 is an apocalyptic number.

12230320311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12230320311 is a deficient number, since it is larger than the sum of its proper divisors (8938105929).

12230320311 is a wasteful number, since it uses less digits than its factorization.

12230320311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282756 (or 282753 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12230320311 its reverse (11302303221), we get a palindrome (23532623532).

The spelling of 12230320311 in words is "twelve billion, two hundred thirty million, three hundred twenty thousand, three hundred eleven".

Divisors: 1 3 9 11 19 23 33 57 69 99 171 207 209 253 437 627 759 1311 1881 2277 3933 4807 14421 43263 282697 848091 2544273 3109667 5371243 6502031 9329001 16113729 19506093 27987003 48341187 58518279 59083673 71522341 123538589 177251019 214567023 370615767 531753057 643701069 1111847301 1358924479 4076773437 12230320311