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132020121332313 = 334889634123419
BaseRepresentation
bin11110000001001001010100…
…011011110110101001011001
3122022110000000020200201122000
4132001021110123312221121
5114301004202030113223
61144441112332551213
736544065451544124
oct3601112433665131
9568400006621560
10132020121332313
113907a467809875
1212982473622509
1358885a0696646
142485b450b93bb
15103e22dcac543
hex7812546f6a59

132020121332313 has 8 divisors (see below), whose sum is σ = 195585364936800. Its totient is φ = 88013414221524.

The previous prime is 132020121332237. The next prime is 132020121332321. The reversal of 132020121332313 is 313233121020231.

132020121332313 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 0 + 12 + 1 + 332 + 313 = 666.

It is not a de Polignac number, because 132020121332313 - 222 = 132020117138009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4889634123419 = 132020121332313 / (1 + 3 + 2 + 0 + 2 + 0 + 1 + 2 + 1 + 3 + 3 + 2 + 3 + 1 + 3).

It is not an unprimeable number, because it can be changed into a prime (132020121332413) 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 7 ways as a sum of consecutive naturals, for example, 2444817061683 + ... + 2444817061736.

It is an arithmetic number, because the mean of its divisors is an integer number (24448170617100).

Almost surely, 2132020121332313 is an apocalyptic number.

It is an amenable number.

132020121332313 is a deficient number, since it is larger than the sum of its proper divisors (63565243604487).

132020121332313 is an equidigital number, since it uses as much as digits as its factorization.

132020121332313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889634123428 (or 4889634123422 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132020121332313 its reverse (313233121020231), we get a palindrome (445253242352544).

The spelling of 132020121332313 in words is "one hundred thirty-two trillion, twenty billion, one hundred twenty-one million, three hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 27 4889634123419 14668902370257 44006707110771 132020121332313