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132123313112 = 2374189646573
BaseRepresentation
bin111101100001100101…
…0011100001111011000
3110122000220022201122012
41323003022130033120
54131042032004422
6140410245045052
712355065426410
oct1730312341730
9418026281565
10132123313112
115104019075a
12217339b6788
13c5c7a65b1b
1465754a3640
1536844834e2
hex1ec329c3d8

132123313112 has 64 divisors (see below), whose sum is σ = 293285966400. Its totient is φ = 54622402560.

The previous prime is 132123313111. The next prime is 132123313117. The reversal of 132123313112 is 211313321231.

It is a super-2 number, since 2×1321233131122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132123313111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118943 + ... + 527630.

It is an arithmetic number, because the mean of its divisors is an integer number (4582593225).

Almost surely, 2132123313112 is an apocalyptic number.

It is an amenable number.

132123313112 is an abundant number, since it is smaller than the sum of its proper divisors (161162653288).

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

132123313112 is a wasteful number, since it uses less digits than its factorization.

132123313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646716 (or 646712 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

Adding to 132123313112 its reverse (211313321231), we get a palindrome (343436634343).

The spelling of 132123313112 in words is "one hundred thirty-two billion, one hundred twenty-three million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 41 56 82 89 164 178 287 328 356 574 623 712 1148 1246 2296 2492 3649 4984 7298 14596 25543 29192 51086 102172 204344 646573 1293146 2586292 4526011 5172584 9052022 18104044 26509493 36208088 53018986 57544997 106037972 115089994 185566451 212075944 230179988 371132902 402814979 460359976 742265804 805629958 1484531608 1611259916 2359344877 3222519832 4718689754 9437379508 16515414139 18874759016 33030828278 66061656556 132123313112