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132243343342231 = 112234119327122159
BaseRepresentation
bin11110000100011001001101…
…100000001111101010010111
3122100020100011222021202001211
4132010121031200033222113
5114313133331343422411
61145131430411202251
736566160220405012
oct3604311540175227
9570210158252054
10132243343342231
11391560a5815800
12129b9790146387
1358a3655a67194
14249287d35a379
151044e45c97221
hex78464d80fa97

132243343342231 has 96 divisors (see below), whose sum is σ = 156766247608320. Its totient is φ = 111191325696000.

The previous prime is 132243343342211. The next prime is 132243343342249.

132243343342231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132243343342231 - 29 = 132243343341719 is a prime.

It is a super-2 number, since 2×1322433433422312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132243343342211) 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 95 ways as a sum of consecutive naturals, for example, 5967918130 + ... + 5967940288.

It is an arithmetic number, because the mean of its divisors is an integer number (1632981745920).

Almost surely, 2132243343342231 is an apocalyptic number.

132243343342231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132243343342231 is a deficient number, since it is larger than the sum of its proper divisors (24522904266089).

132243343342231 is a wasteful number, since it uses less digits than its factorization.

132243343342231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22709 (or 22698 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

The spelling of 132243343342231 in words is "one hundred thirty-two trillion, two hundred forty-three billion, three hundred forty-three million, three hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 11 23 41 121 193 253 271 451 943 2123 2783 2981 4439 4961 6233 7913 10373 11111 22159 23353 32791 48829 52303 68563 87043 114103 122221 181999 243749 255553 509657 537119 575333 754193 908519 957473 1202969 1344431 2001989 2144423 2681239 2811083 4276687 5606227 6005089 6328663 9993709 13232659 20895937 22021879 23588653 30921913 47043557 49321729 61668497 66055979 98363801 109930799 138117047 145559249 175344167 229855307 246208649 259475183 517479127 542539019 726615769 1082001811 1158982177 1519287517 1928785837 2528408377 2708295139 4032915841 5662798927 5967929209 11902019921 12748803947 16712162687 21216644207 26656590071 29791246529 44362074251 47518269257 62290788197 140236843417 293222490781 487982816761 522700961827 685198670167 1092920192911 3225447398591 5749710580097 12022122122021 132243343342231