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132114224234412 = 22327233110915594327
BaseRepresentation
bin11110000010100000111101…
…011001111011111110101100
3122022202222220102220110100100
4132002200331121323332230
5114304024412401000122
61144552234200431100
736553636431164310
oct3602407531737654
9568688812813310
10132114224234412
1139106367407a42
1212998756478490
135894419528a34
14248a510c75b40
1510418da438aac
hex78283d67bfac

132114224234412 has 576 divisors, whose sum is σ = 415238042419200. Its totient is φ = 34590286241280.

The previous prime is 132114224234411. The next prime is 132114224234441. The reversal of 132114224234412 is 214432422411231.

132114224234412 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 4 + 2 + 2 + 4 + 234 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132114224234411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30532520193 + ... + 30532524519.

It is an arithmetic number, because the mean of its divisors is an integer number (720899379200).

Almost surely, 2132114224234412 is an apocalyptic number.

132114224234412 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 132114224234412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207619021209600).

132114224234412 is an abundant number, since it is smaller than the sum of its proper divisors (283123818184788).

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

132114224234412 is a wasteful number, since it uses less digits than its factorization.

132114224234412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6061 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 132114224234412 its reverse (214432422411231), we get a palindrome (346546646645643).

The spelling of 132114224234412 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred twenty-four million, two hundred thirty-four thousand, four hundred twelve".