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132130310313120 = 2535766375925041
BaseRepresentation
bin11110000010101111111100…
…001101011101010010100000
3122022211112102111200220221020
4132002233330031131102200
5114304310333420004440
61145003454313125440
736555046156456050
oct3602577415352240
9568745374626836
10132130310313120
11391121715a5a69
121299b8a56b9880
135895ab10900c2
14248b1d9413560
15104202c7843d0
hex782bfc35d4a0

132130310313120 has 192 divisors, whose sum is σ = 475740866716416. Its totient is φ = 30196658257920.

The previous prime is 132130310313119. The next prime is 132130310313139. The reversal of 132130310313120 is 21313013031231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19337800 + ... + 25262840.

It is an arithmetic number, because the mean of its divisors is an integer number (2477817014148).

Almost surely, 2132130310313120 is an apocalyptic number.

132130310313120 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 132130310313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237870433358208).

132130310313120 is an abundant number, since it is smaller than the sum of its proper divisors (343610556403296).

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

132130310313120 is a wasteful number, since it uses less digits than its factorization.

132130310313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931703 (or 5931695 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 132130310313120 its reverse (21313013031231), we get a palindrome (153443323344351).

The spelling of 132130310313120 in words is "one hundred thirty-two trillion, one hundred thirty billion, three hundred ten million, three hundred thirteen thousand, one hundred twenty".