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12013113223132 = 22753223229158519
BaseRepresentation
bin1010111011010000010101…
…0110001010011111011100
31120112102221111220212012021
42232310011112022133130
53033310323441120012
641314425323545524
72346630100404520
oct256640526123734
946472844825167
1012013113223132
11391180726249a
12142027b38b2a4
13691aa7384a08
142d761b3bbd80
1515c74e28a007
hexaed0558a7dc

12013113223132 has 96 divisors (see below), whose sum is σ = 24696858009600. Its totient is φ = 5006693382912.

The previous prime is 12013113223127. The next prime is 12013113223141. The reversal of 12013113223132 is 23132231131021.

It is a junction number, because it is equal to n+sod(n) for n = 12013113223097 and 12013113223106.

It is a congruent number.

It is an unprimeable number.

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, 75704169 + ... + 75862687.

It is an arithmetic number, because the mean of its divisors is an integer number (257258937600).

Almost surely, 212013113223132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013113223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348429004800).

12013113223132 is an abundant number, since it is smaller than the sum of its proper divisors (12683744786468).

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

12013113223132 is a wasteful number, since it uses less digits than its factorization.

12013113223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159035 (or 159033 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12013113223132 its reverse (23132231131021), we get a palindrome (35145344354153).

The spelling of 12013113223132 in words is "twelve trillion, thirteen billion, one hundred thirteen million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 53 106 212 223 229 371 446 458 742 892 916 1484 1561 1603 3122 3206 6244 6412 11819 12137 23638 24274 47276 48548 51067 82733 84959 102134 158519 165466 169918 204268 317038 330932 339836 357469 634076 714938 1109633 1429876 2219266 2706551 4438532 5413102 8401507 10826204 16803014 18945857 33606028 35349737 36300851 37891714 58810549 70699474 72601702 75783428 117621098 141398948 145203404 235242196 247448159 254105957 494896318 508211914 989792636 1016423828 1873536061 1923945103 3747072122 3847890206 7494144244 7695780412 8095089773 13114752427 13467615721 16190179546 26229504854 26935231442 32380359092 52459009708 53870462884 56665628411 113331256822 226662513644 429039757969 858079515938 1716159031876 3003278305783 6006556611566 12013113223132