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132130120122 = 2327111326327883
BaseRepresentation
bin111101100001110010…
…0011010000110111010
3110122001101010120002200
41323003210122012322
54131100302320442
6140411051011030
712355210330050
oct1730344320672
9418041116080
10132130120122
115104400a990
1221736139a76
13c5c92aa240
1465763561d0
153684d7a34c
hex1ec391a1ba

132130120122 has 192 divisors, whose sum is σ = 385853884416. Its totient is φ = 31557962880.

The previous prime is 132130120091. The next prime is 132130120151. The reversal of 132130120122 is 221021031231.

132130120122 is a `hidden beast` number, since 1 + 321 + 301 + 20 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132130120095 and 132130120104.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4724793 + ... + 4752675.

It is an arithmetic number, because the mean of its divisors is an integer number (2009655648).

Almost surely, 2132130120122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132130120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192926942208).

132130120122 is an abundant number, since it is smaller than the sum of its proper divisors (253723764294).

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

132130120122 is a wasteful number, since it uses less digits than its factorization.

132130120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28185 (or 28182 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132130120122 its reverse (221021031231), we get a palindrome (353151151353).

It can be divided in two parts, 132130 and 120122, that added together give a palindrome (252252).

The spelling of 132130120122 in words is "one hundred thirty-two billion, one hundred thirty million, one hundred twenty thousand, one hundred twenty-two".