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132312031101 = 32175316316689
BaseRepresentation
bin111101100111001101…
…0010101111101111101
3110122112001102121001100
41323032122111331331
54131433334443401
6140441110003313
712362546464545
oct1731632257575
9418461377040
10132312031101
1151127768338
1221787046539
13c627b9cb83
14659258a325
153695d0eb86
hex1ece695f7d

132312031101 has 24 divisors (see below), whose sum is σ = 206177694840. Its totient is φ = 81452906496.

The previous prime is 132312031091. The next prime is 132312031171. The reversal of 132312031101 is 101130213231.

It can be written as a sum of positive squares in 4 ways, for example, as 21389062500 + 110922968601 = 146250^2 + 333051^2 .

It is not a de Polignac number, because 132312031101 - 218 = 132311768957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132312031171) 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, 8150236 + ... + 8166453.

It is an arithmetic number, because the mean of its divisors is an integer number (8590737285).

Almost surely, 2132312031101 is an apocalyptic number.

It is an amenable number.

132312031101 is a deficient number, since it is larger than the sum of its proper divisors (73865663739).

132312031101 is a wasteful number, since it uses less digits than its factorization.

132312031101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16316765 (or 16316762 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132312031101 its reverse (101130213231), we get a palindrome (233442244332).

The spelling of 132312031101 in words is "one hundred thirty-two billion, three hundred twelve million, thirty-one thousand, one hundred one".

Divisors: 1 3 9 17 51 53 153 159 477 901 2703 8109 16316689 48950067 146850201 277383713 832151139 864784517 2496453417 2594353551 7783060653 14701336789 44104010367 132312031101