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132323132240312 = 231321815039107309
BaseRepresentation
bin11110000101100011100001…
…010010101111000110111000
3122100111222010121011201200012
4132011203201102233012320
5114320440233323142222
61145232224024201052
736605013400013066
oct3605434122570670
9570458117151605
10132323132240312
1139186a1a546892
1212a11139309188
1358ab030228700
14249668c063036
1510470659671e2
hex7858e14af1b8

132323132240312 has 96 divisors (see below), whose sum is σ = 270199454616000. Its totient is φ = 60722180513280.

The previous prime is 132323132240293. The next prime is 132323132240317. The reversal of 132323132240312 is 213042231323231.

It is a super-2 number, since 2×1323231322403122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132323132240317) 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 23 ways as a sum of consecutive naturals, for example, 1233050114 + ... + 1233157422.

It is an arithmetic number, because the mean of its divisors is an integer number (2814577652250).

Almost surely, 2132323132240312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132323132240312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135099727308000).

132323132240312 is an abundant number, since it is smaller than the sum of its proper divisors (137876322375688).

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

132323132240312 is a wasteful number, since it uses less digits than its factorization.

132323132240312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112561 (or 112544 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 132323132240312 its reverse (213042231323231), we get a palindrome (345365363563543).

The spelling of 132323132240312 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, one hundred thirty-two million, two hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 181 338 362 676 724 1352 1448 2353 4706 5039 9412 10078 18824 20156 30589 40312 61178 65507 107309 122356 131014 214618 244712 262028 429236 524056 851591 858472 912059 1395017 1703182 1824118 2790034 3406364 3648236 5580068 6812728 7296472 11160136 11856767 18135221 19422929 23713534 36270442 38845858 47427068 72540884 77691716 94854136 145081768 154137971 155383432 252498077 308275942 504996154 540730051 616551884 1009992308 1081460102 1233103768 2019984616 2162920204 3282475001 4325840408 6564950002 7029490663 13129900004 14058981326 26259800008 28117962652 56235925304 91383378619 97872139231 182766757238 195744278462 365533514476 391488556924 731067028952 782977113848 1272337810003 2544675620006 5089351240012 10178702480024 16540391530039 33080783060078 66161566120156 132323132240312