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132305415320 = 23513219571807
BaseRepresentation
bin111101100111000000…
…1000110110010011000
3110122111120222110220102
41323032001012302120
54131430141242240
6140440312114532
712362436321551
oct1731601066230
9418446873812
10132305415320
1151123a59851
1221784995a48
13c6266c4800
146591747328
153695454815
hex1ece046c98

132305415320 has 48 divisors (see below), whose sum is σ = 322347677760. Its totient is φ = 48851227776.

The previous prime is 132305415301. The next prime is 132305415331. The reversal of 132305415320 is 23514503231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9779144 + ... + 9792663.

It is an arithmetic number, because the mean of its divisors is an integer number (6715576620).

Almost surely, 2132305415320 is an apocalyptic number.

132305415320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132305415320 is an abundant number, since it is smaller than the sum of its proper divisors (190042262440).

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

132305415320 is a wasteful number, since it uses less digits than its factorization.

132305415320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19571844 (or 19571827 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 132305415320 its reverse (23514503231), we get a palindrome (155819918551).

The spelling of 132305415320 in words is "one hundred thirty-two billion, three hundred five million, four hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 19571807 39143614 78287228 97859035 156574456 195718070 254433491 391436140 508866982 782872280 1017733964 1272167455 2035467928 2544334910 3307635383 5088669820 6615270766 10177339640 13230541532 16538176915 26461083064 33076353830 66152707660 132305415320