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12003102113022 = 23223534631181507
BaseRepresentation
bin1010111010101011000010…
…1000110011110011111110
31120111111002211020202212100
42232222300220303303332
53033124323120104042
641310052103045530
72346124026360546
oct256526050636376
946444084222770
1012003102113022
11390853a24a279
12141a3467408a6
13690b702a7617
142d6d4b9a6326
1515c36543524c
hexaeab0a33cfe

12003102113022 has 96 divisors (see below), whose sum is σ = 27709217123328. Its totient is φ = 3746754019008.

The previous prime is 12003102113021. The next prime is 12003102113071. The reversal of 12003102113022 is 22031120130021.

12003102113022 is a `hidden beast` number, since 1 + 200 + 310 + 2 + 1 + 130 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12003102112986 and 12003102113004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003102113021) 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, 9568393 + ... + 10749899.

It is an arithmetic number, because the mean of its divisors is an integer number (288637678368).

Almost surely, 212003102113022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003102113022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13854608561664).

12003102113022 is an abundant number, since it is smaller than the sum of its proper divisors (15706115010306).

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

12003102113022 is a wasteful number, since it uses less digits than its factorization.

12003102113022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182054 (or 1182051 counting only the distinct ones).

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

Adding to 12003102113022 its reverse (22031120130021), we get a palindrome (34034222243043).

The spelling of 12003102113022 in words is "twelve trillion, three billion, one hundred two million, one hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 463 477 926 954 1219 1389 2438 2778 3657 4167 7314 8334 10649 10971 21298 21942 24539 31947 49078 63894 73617 95841 147234 191682 220851 441702 564397 1128794 1181507 1693191 2363014 3386382 3544521 5079573 7089042 10159146 10633563 21267126 27174661 54349322 62619871 81523983 125239742 163047966 187859613 244571949 375719226 489143898 547037741 563578839 1094075482 1127157678 1440257033 1641113223 2880514066 3282226446 4320771099 4923339669 8641542198 9846679338 12581868043 12962313297 25163736086 25924626594 28993000273 37745604129 57986000546 75491208258 86979000819 113236812387 173958001638 226473624774 260937002457 521874004914 666839006279 1333678012558 2000517018837 4001034037674 6001551056511 12003102113022