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132300313353 = 32131959514311
BaseRepresentation
bin111101100110110110…
…1101001001100001001
3110122111020101021022200
41323031231221030021
54131422340011403
6140440010510413
712362345052165
oct1731555511411
9418436337280
10132300313353
115112109464a
1221783135409
13c6256294b0
146590bb9ca5
153694c97ca3
hex1ecdb69309

132300313353 has 24 divisors (see below), whose sum is σ = 216632095680. Its totient is φ = 77130545760.

The previous prime is 132300313309. The next prime is 132300313363. The reversal of 132300313353 is 353313003231.

132300313353 is a `hidden beast` number, since 1 + 3 + 2 + 300 + 3 + 1 + 3 + 353 = 666.

It is not a de Polignac number, because 132300313353 - 213 = 132300305161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132300313363) 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, 29754933 + ... + 29759378.

It is an arithmetic number, because the mean of its divisors is an integer number (9026337320).

Almost surely, 2132300313353 is an apocalyptic number.

132300313353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132300313353 is a deficient number, since it is larger than the sum of its proper divisors (84331782327).

132300313353 is a wasteful number, since it uses less digits than its factorization.

132300313353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59514349 (or 59514346 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 27.

Adding to 132300313353 its reverse (353313003231), we get a palindrome (485613316584).

The spelling of 132300313353 in words is "one hundred thirty-two billion, three hundred million, three hundred thirteen thousand, three hundred fifty-three".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 2223 59514311 178542933 535628799 773686043 1130771909 2321058129 3392315727 6963174387 10176947181 14700034817 44100104451 132300313353