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132120322320 = 243572326313001
BaseRepresentation
bin111101100001011111…
…1000010000100010000
3110122000200200210001010
41323002333002010100
54131040300303240
6140410101010520
712355031132040
oct1730277020420
9418020623033
10132120322320
1151039528728
12217329b3a40
13c5c725971c
146574d25720
153684092280
hex1ec2fc2110

132120322320 has 320 divisors, whose sum is σ = 490329759744. Its totient is φ = 28773888000.

The previous prime is 132120322309. The next prime is 132120322333. The reversal of 132120322320 is 23223021231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10155820 + ... + 10168820.

Almost surely, 2132120322320 is an apocalyptic number.

132120322320 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 132120322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245164879872).

132120322320 is an abundant number, since it is smaller than the sum of its proper divisors (358209437424).

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

132120322320 is a wasteful number, since it uses less digits than its factorization.

132120322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13310 (or 13304 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132120322320 its reverse (23223021231), we get a palindrome (155343343551).

The spelling of 132120322320 in words is "one hundred thirty-two billion, one hundred twenty million, three hundred twenty-two thousand, three hundred twenty".