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132310001320 = 235719191130211
BaseRepresentation
bin111101100111001001…
…0100110011010101000
3110122111220121110201021
41323032102212122220
54131432330020240
6140440554302224
712362523312040
oct1731622463250
9418456543637
10132310001320
1151126601332
1221786427974
13c62763c013
1465921bc720
153695a5d54a
hex1ece4a66a8

132310001320 has 128 divisors (see below), whose sum is σ = 360010137600. Its totient is φ = 42750547200.

The previous prime is 132310001311. The next prime is 132310001353. The reversal of 132310001320 is 23100013231.

It is a junction number, because it is equal to n+sod(n) for n = 132310001294 and 132310001303.

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 31 ways as a sum of consecutive naturals, for example, 951015 + ... + 1081225.

It is an arithmetic number, because the mean of its divisors is an integer number (2812579200).

Almost surely, 2132310001320 is an apocalyptic number.

132310001320 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 132310001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180005068800).

132310001320 is an abundant number, since it is smaller than the sum of its proper divisors (227700136280).

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

132310001320 is a wasteful number, since it uses less digits than its factorization.

132310001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130439 (or 130435 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 132310001320 its reverse (23100013231), we get a palindrome (155410014551).

The spelling of 132310001320 in words is "one hundred thirty-two billion, three hundred ten million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 191 266 280 380 382 532 665 760 764 955 1064 1330 1337 1528 1910 2660 2674 3629 3820 5320 5348 6685 7258 7640 10696 13370 14516 18145 25403 26740 29032 36290 50806 53480 72580 101612 127015 130211 145160 203224 254030 260422 508060 520844 651055 911477 1016120 1041688 1302110 1822954 2474009 2604220 3645908 4557385 4948018 5208440 7291816 9114770 9896036 12370045 17318063 18229540 19792072 24740090 24870301 34636126 36459080 49480180 49740602 69272252 86590315 98960360 99481204 124351505 138544504 173180630 174092107 198962408 248703010 346361260 348184214 472535719 497406020 692722520 696368428 870460535 945071438 994812040 1392736856 1740921070 1890142876 2362678595 3307750033 3481842140 3780285752 4725357190 6615500066 6963684280 9450714380 13231000132 16538750165 18901428760 26462000264 33077500330 66155000660 132310001320