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132134002101 = 3289509324089
BaseRepresentation
bin111101100001111001…
…1001101110110110101
3110122001122102210011200
41323003303031312311
54131102301031401
6140411310123113
712355255325553
oct1730363156665
9418048383150
10132134002101
1151046221532
12217374b0499
13c5ca03917a
146576a86bd3
153685395686
hex1ec3ccddb5

132134002101 has 24 divisors (see below), whose sum is σ = 193384503000. Its totient is φ = 86928179712.

The previous prime is 132134002081. The next prime is 132134002123. The reversal of 132134002101 is 101200431231.

132134002101 is a `hidden beast` number, since 1 + 321 + 340 + 0 + 2 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22936799601 + 109197202500 = 151449^2 + 330450^2 .

It is not a de Polignac number, because 132134002101 - 27 = 132134001973 is a prime.

It is a super-2 number, since 2×1321340021012 (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 (132134002501) 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, 245665 + ... + 569753.

It is an arithmetic number, because the mean of its divisors is an integer number (8057687625).

Almost surely, 2132134002101 is an apocalyptic number.

It is an amenable number.

132134002101 is a deficient number, since it is larger than the sum of its proper divisors (61250500899).

132134002101 is a wasteful number, since it uses less digits than its factorization.

132134002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324693 (or 324690 counting only the distinct ones).

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

Adding to 132134002101 its reverse (101200431231), we get a palindrome (233334433332).

The spelling of 132134002101 in words is "one hundred thirty-two billion, one hundred thirty-four million, two thousand, one hundred one".

Divisors: 1 3 9 89 267 509 801 1527 4581 45301 135903 324089 407709 972267 2916801 28843921 86531763 164961301 259595289 494883903 1484651709 14681555789 44044667367 132134002101