Search a number
-
+
132132021300 = 223252233362929
BaseRepresentation
bin111101100001110101…
…1101010010000110100
3110122001111201011000200
41323003223222100310
54131101244140200
6140411155440500
712355232435616
oct1730353522064
9418044634020
10132132021300
1151045099304
12217368b6130
13c5c97c46b6
1465766ccdb6
153685103800
hex1ec3aea434

132132021300 has 108 divisors (see below), whose sum is σ = 414344587020. Its totient is φ = 35219543040.

The previous prime is 132132021269. The next prime is 132132021319. The reversal of 132132021300 is 3120231231.

132132021300 is a `hidden beast` number, since 1 + 3 + 21 + 320 + 21 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2043401616 + 130088619684 = 45204^2 + 360678^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2068236 + ... + 2131164.

Almost surely, 2132132021300 is an apocalyptic number.

132132021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132132021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207172293510).

132132021300 is an abundant number, since it is smaller than the sum of its proper divisors (282212565720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132132021300 is a wasteful number, since it uses less digits than its factorization.

132132021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65282 (or 65272 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132132021300 its reverse (3120231231), we get a palindrome (135252252531).

The spelling of 132132021300 in words is "one hundred thirty-two billion, one hundred thirty-two million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2333 4666 6999 9332 11665 13998 20997 23330 27996 34995 41994 46660 58325 62929 69990 83988 104985 116650 125858 139980 174975 188787 209970 233300 251716 314645 349950 377574 419940 524925 566361 629290 699900 755148 943935 1049850 1132722 1258580 1573225 1887870 2099700 2265444 2831805 3146450 3775740 4719675 5663610 6292900 9439350 11327220 14159025 18878700 28318050 56636100 146813357 293626714 440440071 587253428 734066785 880880142 1321320213 1468133570 1761760284 2202200355 2642640426 2936267140 3670333925 4404400710 5285280852 6606601065 7340667850 8808801420 11011001775 13213202130 14681335700 22022003550 26426404260 33033005325 44044007100 66066010650 132132021300