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132331233213 = 32175316319057
BaseRepresentation
bin111101100111110001…
…1100101111110111101
3110122120101120011101200
41323033203211332331
54132003243430323
6140443033330113
712363201631434
oct1731743457675
9418511504350
10132331233213
1151137593153
1221791566939
13c62bb6407a
146594d4811b
153697854443
hex1ecf8e5fbd

132331233213 has 24 divisors (see below), whose sum is σ = 206207616888. Its totient is φ = 81464727552.

The previous prime is 132331233197. The next prime is 132331233259. The reversal of 132331233213 is 312332133231.

132331233213 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 312 + 332 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40402206009 + 91929027204 = 201003^2 + 303198^2 .

It is not a de Polignac number, because 132331233213 - 24 = 132331233197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132331234213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8151420 + ... + 8167637.

It is an arithmetic number, because the mean of its divisors is an integer number (8591984037).

Almost surely, 2132331233213 is an apocalyptic number.

It is an amenable number.

132331233213 is a deficient number, since it is larger than the sum of its proper divisors (73876383675).

132331233213 is a wasteful number, since it uses less digits than its factorization.

132331233213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16319133 (or 16319130 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 132331233213 its reverse (312332133231), we get a palindrome (444663366444).

The spelling of 132331233213 in words is "one hundred thirty-two billion, three hundred thirty-one million, two hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 53 153 159 477 901 2703 8109 16319057 48957171 146871513 277423969 832271907 864910021 2496815721 2594730063 7784190189 14703470357 44110411071 132331233213