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132231000320 = 285127780897
BaseRepresentation
bin111101100100110010…
…1001111000100000000
3110122022101221210201022
41323021211033010000
54131302114002240
6140425053125012
712360543646316
oct1731145170400
9418271853638
10132231000320
1151095a52751
1221763a89768
13c61416b573
1465858d60b6
15368db559b5
hex1ec994f100

132231000320 has 72 divisors (see below), whose sum is σ = 316986516504. Its totient is φ = 52850327552.

The previous prime is 132231000313. The next prime is 132231000323. The reversal of 132231000320 is 23000132231.

It can be written as a sum of positive squares in 4 ways, for example, as 47023055104 + 85207945216 = 216848^2 + 291904^2 .

It is not an unprimeable number, because it can be changed into a prime (132231000323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1594112 + ... + 1675008.

It is an arithmetic number, because the mean of its divisors is an integer number (4402590507).

Almost surely, 2132231000320 is an apocalyptic number.

132231000320 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 132231000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158493258252).

132231000320 is an abundant number, since it is smaller than the sum of its proper divisors (184755516184).

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

132231000320 is an equidigital number, since it uses as much as digits as its factorization.

132231000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82195 (or 82181 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 132231000320 its reverse (23000132231), we get a palindrome (155231132551).

The spelling of 132231000320 in words is "one hundred thirty-two billion, two hundred thirty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1277 1280 2554 5108 6385 10216 12770 20432 25540 40864 51080 80897 81728 102160 161794 163456 204320 323588 326912 404485 408640 647176 808970 817280 1294352 1617940 1634560 2588704 3235880 5177408 6471760 10354816 12943520 20709632 25887040 51774080 103305469 103548160 206610938 413221876 516527345 826443752 1033054690 1652887504 2066109380 3305775008 4132218760 6611550016 8264437520 13223100032 16528875040 26446200064 33057750080 66115500160 132231000320