Search a number
-
+
132210330332112 = 243231269397277331
BaseRepresentation
bin11110000011111010011101…
…110001100110101111010000
3122100010011222020111001211100
4132003322131301212233100
5114312113224031111422
61145104330503544400
736563611143426054
oct3603723561465720
9570104866431740
10132210330332112
11391430a483566a
12129b32b815b100
1358a04c43b3b76
14249102aabdc64
1510441628a97ac
hex783e9dc66bd0

132210330332112 has 240 divisors, whose sum is σ = 384327839301120. Its totient is φ = 42382768665600.

The previous prime is 132210330332111. The next prime is 132210330332117. The reversal of 132210330332112 is 211233033012231.

132210330332112 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 0 + 330 + 3 + 321 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132210330332111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476585287 + ... + 476862617.

It is an arithmetic number, because the mean of its divisors is an integer number (1601365997088).

Almost surely, 2132210330332112 is an apocalyptic number.

132210330332112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132210330332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192163919650560).

132210330332112 is an abundant number, since it is smaller than the sum of its proper divisors (252117508969008).

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

132210330332112 is a wasteful number, since it uses less digits than its factorization.

132210330332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278042 (or 278033 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132210330332112 its reverse (211233033012231), we get a palindrome (343443363344343).

The spelling of 132210330332112 in words is "one hundred thirty-two trillion, two hundred ten billion, three hundred thirty million, three hundred thirty-two thousand, one hundred twelve".