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132131134213 = 1319153214311
BaseRepresentation
bin111101100001110100…
…0010001101100000101
3110122001110001002011121
41323003220101230011
54131101032243323
6140411124433541
712355222052431
oct1730350215405
9418043032147
10132131134213
1151044642881
12217365488b1
13c5c95739b0
14657653b9c1
153684ecaa5d
hex1ec3a11b05

132131134213 has 8 divisors (see below), whose sum is σ = 143040070656. Its totient is φ = 121328626800.

The previous prime is 132131134193. The next prime is 132131134241. The reversal of 132131134213 is 312431131231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132131134213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131134013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26604673 + ... + 26609638.

It is an arithmetic number, because the mean of its divisors is an integer number (17880008832).

Almost surely, 2132131134213 is an apocalyptic number.

132131134213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132131134213 is a deficient number, since it is larger than the sum of its proper divisors (10908936443).

132131134213 is a wasteful number, since it uses less digits than its factorization.

132131134213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53214515.

The product of its digits is 1296, while the sum is 25.

Adding to 132131134213 its reverse (312431131231), we get a palindrome (444562265444).

The spelling of 132131134213 in words is "one hundred thirty-two billion, one hundred thirty-one million, one hundred thirty-four thousand, two hundred thirteen".

Divisors: 1 13 191 2483 53214311 691786043 10163933401 132131134213