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132313430313 = 3327449178531
BaseRepresentation
bin111101100111001111…
…1101011100100101001
3110122112011001200102000
41323032133223210221
54131434214232223
6140441200001213
712362564413101
oct1731637534451
9418464050360
10132313430313
1151128533609
1221787600209
13c62826c9cc
146592832201
153695ed9543
hex1ece7eb929

132313430313 has 16 divisors (see below), whose sum is σ = 196028136000. Its totient is φ = 88205245920.

The previous prime is 132313430299. The next prime is 132313430387. The reversal of 132313430313 is 313034313231.

132313430313 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 343 + 0 + 313 = 666.

It is not a de Polignac number, because 132313430313 - 217 = 132313299241 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (132313430713) 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 15 ways as a sum of consecutive naturals, for example, 651858 + ... + 830388.

It is an arithmetic number, because the mean of its divisors is an integer number (12251758500).

Almost surely, 2132313430313 is an apocalyptic number.

It is an amenable number.

132313430313 is a deficient number, since it is larger than the sum of its proper divisors (63714705687).

132313430313 is a wasteful number, since it uses less digits than its factorization.

132313430313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205989 (or 205983 counting only the distinct ones).

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

Adding to 132313430313 its reverse (313034313231), we get a palindrome (445347743544).

The spelling of 132313430313 in words is "one hundred thirty-two billion, three hundred thirteen million, four hundred thirty thousand, three hundred thirteen".

Divisors: 1 3 9 27 27449 82347 178531 247041 535593 741123 1606779 4820337 4900497419 14701492257 44104476771 132313430313