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132343013133 = 3329199849349
BaseRepresentation
bin111101101000001000…
…0100001111100001101
3110122121012201122102000
41323100100201330031
54132014302410013
6140444134022513
712363404023302
oct1732020417415
9418535648360
10132343013133
11511431a9621
12217954a7a39
13c631429b36
1465967330a9
1536988ce973
hex1ed0421f0d

132343013133 has 32 divisors (see below), whose sum is σ = 203844000000. Its totient is φ = 84758135616.

The previous prime is 132343013111. The next prime is 132343013147. The reversal of 132343013133 is 331310343231.

132343013133 is a `hidden beast` number, since 1 + 3 + 2 + 343 + 0 + 1 + 313 + 3 = 666.

It is not a de Polignac number, because 132343013133 - 26 = 132343013069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132343013097 and 132343013106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132343013183) 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 31 ways as a sum of consecutive naturals, for example, 268858 + ... + 580491.

It is an arithmetic number, because the mean of its divisors is an integer number (6370125000).

Almost surely, 2132343013133 is an apocalyptic number.

It is an amenable number.

132343013133 is a deficient number, since it is larger than the sum of its proper divisors (71500986867).

132343013133 is a wasteful number, since it uses less digits than its factorization.

132343013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849586 (or 849580 counting only the distinct ones).

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

Adding to 132343013133 its reverse (331310343231), we get a palindrome (463653356364).

The spelling of 132343013133 in words is "one hundred thirty-two billion, three hundred forty-three million, thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 27 29 87 199 261 597 783 1791 5373 5771 17313 51939 155817 849349 2548047 7644141 22932423 24631121 73893363 169020451 221680089 507061353 665040267 1521184059 4563552177 4901593079 14704779237 44114337711 132343013133