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132303432420 = 223256011122279
BaseRepresentation
bin111101100110111100…
…1100010101011100100
3110122111110020201212200
41323031321202223210
54131424134314140
6140440201414500
712362413422525
oct1731571425344
9418443221780
10132303432420
1151122924a95
122178419a430
13c62617c0b3
14659138c84c
1536951b2030
hex1ecde62ae4

132303432420 has 72 divisors (see below), whose sum is σ = 401390458560. Its totient is φ = 35274757440.

The previous prime is 132303432419. The next prime is 132303432479. The reversal of 132303432420 is 24234303231.

132303432420 is a `hidden beast` number, since 1 + 3 + 230 + 3 + 4 + 3 + 2 + 420 = 666.

It is a super-2 number, since 2×1323034324202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020841 + ... + 1143119.

It is an arithmetic number, because the mean of its divisors is an integer number (5574867480).

Almost surely, 2132303432420 is an apocalyptic number.

132303432420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132303432420 is an abundant number, since it is smaller than the sum of its proper divisors (269087026140).

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

132303432420 is a wasteful number, since it uses less digits than its factorization.

132303432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128305 (or 128300 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 132303432420 its reverse (24234303231), we get a palindrome (156537735651).

The spelling of 132303432420 in words is "one hundred thirty-two billion, three hundred three million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6011 12022 18033 24044 30055 36066 54099 60110 72132 90165 108198 120220 122279 180330 216396 244558 270495 360660 366837 489116 540990 611395 733674 1081980 1100511 1222790 1467348 1834185 2201022 2445580 3668370 4402044 5502555 7336740 11005110 22010220 735019069 1470038138 2205057207 2940076276 3675095345 4410114414 6615171621 7350190690 8820228828 11025286035 13230343242 14700381380 22050572070 26460686484 33075858105 44101144140 66151716210 132303432420