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132313322133 = 3245732169541
BaseRepresentation
bin111101100111001111…
…1010001001010010101
3110122112010212012000100
41323032133101022111
54131434202302013
6140441153404313
712362563452516
oct1731637211225
9418463765010
10132313322133
115112846a303
1221787569699
13c6282326b5
146592804a0d
153695eb7473
hex1ece7d1295

132313322133 has 12 divisors (see below), whose sum is σ = 191537453068. Its totient is φ = 88015861440.

The previous prime is 132313322087. The next prime is 132313322147. The reversal of 132313322133 is 331223313231.

132313322133 is a `hidden beast` number, since 1 + 323 + 1 + 3 + 322 + 13 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87366354084 + 44946968049 = 295578^2 + 212007^2 .

It is not a de Polignac number, because 132313322133 - 26 = 132313322069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132313322097 and 132313322106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313322153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16080658 + ... + 16088883.

Almost surely, 2132313322133 is an apocalyptic number.

It is an amenable number.

132313322133 is a deficient number, since it is larger than the sum of its proper divisors (59224130935).

132313322133 is a wasteful number, since it uses less digits than its factorization.

132313322133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32170004 (or 32170001 counting only the distinct ones).

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

Adding to 132313322133 its reverse (331223313231), we get a palindrome (463536635364).

The spelling of 132313322133 in words is "one hundred thirty-two billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 457 1371 4113 32169541 96508623 289525869 14701480237 44104440711 132313322133