Search a number
-
+
332323212232011 = 3711133711779253919
BaseRepresentation
bin100101110001111110000011…
…1000001000000010101001011
31121120122210022001022210020010
41023203330013001000111023
5322024240414312411021
63134443102012203003
7126666362666260560
oct11343740701002513
91546583261283203
10332323212232011
1196985534725080
123133256b469463
1311357c37c43c50
145c0c75a54a867
152864751a57976
hex12e3f0704054b

332323212232011 has 128 divisors (see below), whose sum is σ = 611061689548800. Its totient is φ = 155035099215360.

The previous prime is 332323212232007. The next prime is 332323212232043. The reversal of 332323212232011 is 110232212323233.

It is not a de Polignac number, because 332323212232011 - 22 = 332323212232007 is a prime.

It is a super-2 number, since 2×3323232122320112 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332323212232011.

It is not an unprimeable number, because it can be changed into a prime (332323212230011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1308649510 + ... + 1308903428.

It is an arithmetic number, because the mean of its divisors is an integer number (4773919449600).

Almost surely, 2332323212232011 is an apocalyptic number.

332323212232011 is a deficient number, since it is larger than the sum of its proper divisors (278738477316789).

332323212232011 is a wasteful number, since it uses less digits than its factorization.

332323212232011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265769.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 332323212232011 its reverse (110232212323233), we get a palindrome (442555424555244).

The spelling of 332323212232011 in words is "three hundred thirty-two trillion, three hundred twenty-three billion, two hundred twelve million, two hundred thirty-two thousand, eleven".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 11779 15873 35337 37037 82453 111111 129569 153127 247359 253919 388707 435823 459381 761757 906983 1071889 1307469 1684397 1777433 2720949 2793109 3050761 3215667 3300947 4794053 5053191 5332299 5665699 8379327 9152283 9395003 9902841 11790779 14382159 16997097 19551763 23106629 28185009 33558371 35372337 36310417 39659893 58655289 62322689 65765021 69319887 100675113 103345033 108931251 118979679 122135039 186968067 197295063 254172919 310035099 366405117 436258823 723415231 762518757 854945273 1308776469 1343485429 2170245693 2564835819 2990911901 4030456287 8972735703 9404398003 20936383307 28213194009 32900030911 38881854713 62809149921 98700092733 110663740337 116645564139 230300216377 272172982991 331991221011 427700401843 690900649131 774646182359 816518948973 1217301143707 1283101205529 1438628624381 2323938547077 2993902812901 3651903431121 4315885873143 8521108005949 8981708438703 10070400370667 15824914868191 25563324017847 30211201112001 47474744604573 110774404077337 332323212232011