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132310330521600 = 211352711192979257
BaseRepresentation
bin11110000101010111100110…
…010000000011100000000000
3122100110202002102111001000010
4132011113212100003200000
5114320233024103142400
61145222305435024520
736604051222134030
oct3605274620034000
9570422072431003
10132310330521600
1139181550290070
1212a0a765b9b140
1358a9a6cc5b91a
142495bd5b8d8c0
151046a66b30450
hex7855e6403800

132310330521600 has 4608 divisors, whose sum is σ = 603681361920000. Its totient is φ = 24732971827200.

The previous prime is 132310330521563. The next prime is 132310330521617. The reversal of 132310330521600 is 6125033013231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 383 ways as a sum of consecutive naturals, for example, 514826188672 + ... + 514826188928.

It is an arithmetic number, because the mean of its divisors is an integer number (131007240000).

Almost surely, 2132310330521600 is an apocalyptic number.

132310330521600 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 132310330521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301840680960000).

132310330521600 is an abundant number, since it is smaller than the sum of its proper divisors (471371031398400).

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

132310330521600 is a wasteful number, since it uses less digits than its factorization.

132310330521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 132310330521600 its reverse (6125033013231), we get a palindrome (138435363534831).

The spelling of 132310330521600 in words is "one hundred thirty-two trillion, three hundred ten billion, three hundred thirty million, five hundred twenty-one thousand, six hundred".