Search a number
-
+
132312323223 = 32389201118793
BaseRepresentation
bin111101100111001101…
…1011101010010010111
3110122112001222102202200
41323032123131102113
54131433423320343
6140441120135543
712362552122323
oct1731633352227
9418461872680
10132312323223
1151127947863
12217871675b3
13c627c72b22
146592624983
153695d6b4d3
hex1ece6dd497

132312323223 has 24 divisors (see below), whose sum is σ = 191714586960. Its totient is φ = 87933029760.

The previous prime is 132312323203. The next prime is 132312323257. The reversal of 132312323223 is 322323213231.

132312323223 is a `hidden beast` number, since 1 + 3 + 2 + 312 + 323 + 2 + 23 = 666.

It is not a de Polignac number, because 132312323223 - 220 = 132311274647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132312323203) 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 23 ways as a sum of consecutive naturals, for example, 7031115 + ... + 7049907.

It is an arithmetic number, because the mean of its divisors is an integer number (7988107790).

Almost surely, 2132312323223 is an apocalyptic number.

132312323223 is a deficient number, since it is larger than the sum of its proper divisors (59402263737).

132312323223 is a wasteful number, since it uses less digits than its factorization.

132312323223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21199 (or 21196 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 132312323223 its reverse (322323213231), we get a palindrome (454635536454).

It can be divided in two parts, 132312 and 323223, that added together give a triangular number (455535 = T954).

The spelling of 132312323223 in words is "one hundred thirty-two billion, three hundred twelve million, three hundred twenty-three thousand, two hundred twenty-three".

Divisors: 1 3 9 389 1167 2011 3501 6033 18099 18793 56379 169137 782279 2346837 7040511 7310477 21931431 37792723 65794293 113378169 340134507 14701369247 44104107741 132312323223