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1211144332242 = 23135910113119891
BaseRepresentation
bin10001100111111101110…
…100111110001111010010
311021210011201201211211110
4101213331310332033102
5124320410422112432
62324220402154150
7153334166651415
oct21477564761722
94253151654743
101211144332242
11427709445929
12176889952956
138a2973a8540
1442896649b7c
1521788289dcc
hex119fdd3e3d2

1211144332242 has 128 divisors (see below), whose sum is σ = 2699684951040. Its totient is φ = 359929440000.

The previous prime is 1211144332207. The next prime is 1211144332247. The reversal of 1211144332242 is 2422334411121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1211144332247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60879117 + ... + 60899007.

It is an arithmetic number, because the mean of its divisors is an integer number (21091288680).

Almost surely, 21211144332242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211144332242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349842475520).

1211144332242 is an abundant number, since it is smaller than the sum of its proper divisors (1488540618798).

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

1211144332242 is a wasteful number, since it uses less digits than its factorization.

1211144332242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20200.

The product of its digits is 9216, while the sum is 30.

Adding to 1211144332242 its reverse (2422334411121), we get a palindrome (3633478743363).

The spelling of 1211144332242 in words is "one trillion, two hundred eleven billion, one hundred forty-four million, three hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 59 78 101 118 131 177 202 262 303 354 393 606 767 786 1313 1534 1703 2301 2626 3406 3939 4602 5109 5959 7729 7878 10218 11918 13231 15458 17877 19891 23187 26462 35754 39693 39782 46374 59673 77467 79386 100477 119346 154934 172003 200954 232401 258583 301431 344006 464802 516009 517166 602862 775749 780629 1032018 1173569 1551498 1561258 2008991 2341887 2347138 2605721 3520707 4017982 4683774 5211442 6026973 7041414 7817163 10148177 12053946 15256397 15634326 20296354 26116883 30444531 30512794 33874373 45769191 52233766 60889062 67748746 78350649 91538382 101623119 118530469 153737539 156701298 203246238 237060938 263177821 307475078 355591407 461212617 526355642 711182814 789533463 922425234 1540896097 1579066926 1998588007 3081792194 3421311673 3997176014 4622688291 5995764021 6842623346 9245376582 10263935019 11991528042 15527491439 20527870038 31054982878 46582474317 93164948634 201857388707 403714777414 605572166121 1211144332242