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12326225230134 = 23231281678111593
BaseRepresentation
bin1011001101011110110001…
…0001101011100100110110
31121122101010211101212010100
42303113230101223210312
53103423102124331014
642114331212534530
72411353231505634
oct263275421534466
947571124355110
1012326225230134
113a22582886712
121470aa3a81446
136b548684103a
14308841ac4354
15165977b23009
hexb35ec46b936

12326225230134 has 96 divisors (see below), whose sum is σ = 27672906463488. Its totient is φ = 3961125504000.

The previous prime is 12326225229911. The next prime is 12326225230181. The reversal of 12326225230134 is 43103252262321.

12326225230134 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 622 + 5 + 23 + 0 + 1 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063241442 + ... + 1063253034.

It is an arithmetic number, because the mean of its divisors is an integer number (288259442328).

Almost surely, 212326225230134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12326225230134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13836453231744).

12326225230134 is an abundant number, since it is smaller than the sum of its proper divisors (15346681233354).

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

12326225230134 is a wasteful number, since it uses less digits than its factorization.

12326225230134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18694 (or 18691 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12326225230134 its reverse (43103252262321), we get a palindrome (55429477492455).

The spelling of 12326225230134 in words is "twelve trillion, three hundred twenty-six billion, two hundred twenty-five million, two hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 281 558 562 843 1686 2529 5058 6781 8711 11593 13562 17422 20343 23186 26133 34779 40686 52266 61029 69558 78399 104337 122058 156798 208674 210211 359383 420422 630633 718766 1078149 1261266 1891899 1905461 2156298 3234447 3257633 3783798 3810922 5716383 6468894 6515266 9772899 11432766 17149149 19545798 29318697 34298298 58637394 59069291 78612133 100986623 118138582 157224266 177207873 201973246 235836399 302959869 354415746 471672798 531623619 605919738 707509197 908879607 1063247238 1415018394 1817759214 2436976123 4873952246 7310928369 14621856738 21932785107 22090009373 43865570214 44180018746 66270028119 132540056238 198810084357 397620168714 684790290563 1369580581126 2054370871689 4108741743378 6163112615067 12326225230134