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13320233110311 = 3471316591094299
BaseRepresentation
bin1100000111010101101111…
…0000110100101100100111
31202011101211221121001111120
43001311123300310230213
53221214314134012221
644155121451305023
72543232536206611
oct301653360645447
952141757531446
1013320233110311
114276096373266
1215b167314b173
1375812856c83a
143409ba3addb1
151817532ab5c6
hexc1d5bc34b27

13320233110311 has 32 divisors (see below), whose sum is σ = 18304399872000. Its totient is φ = 8611775084640.

The previous prime is 13320233110273. The next prime is 13320233110343. The reversal of 13320233110311 is 11301133202331.

It is not a de Polignac number, because 13320233110311 - 226 = 13320166001447 is a prime.

It is a super-2 number, since 2×133202331103112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320233110361) by changing a digit.

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, 11625240 + ... + 12719538.

It is an arithmetic number, because the mean of its divisors is an integer number (572012496000).

Almost surely, 213320233110311 is an apocalyptic number.

13320233110311 is a deficient number, since it is larger than the sum of its proper divisors (4984166761689).

13320233110311 is a wasteful number, since it uses less digits than its factorization.

13320233110311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095139.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13320233110311 its reverse (11301133202331), we get a palindrome (24621366312642).

The spelling of 13320233110311 in words is "thirteen trillion, three hundred twenty billion, two hundred thirty-three million, one hundred ten thousand, three hundred eleven".

Divisors: 1 3 47 131 141 393 659 1977 6157 18471 30973 86329 92919 258987 1094299 3282897 4057463 12172389 51432053 143353169 154296159 430059507 721143041 2163429123 6737598943 20212796829 33893722927 94469738371 101681168781 283409215113 4440077703437 13320233110311