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132212322013112 = 2311171918130238501
BaseRepresentation
bin11110000011111100010100…
…011111010000111110111000
3122100010101010001011221112022
4132003330110133100332320
5114312131313413404422
61145105300252334012
736564011406432155
oct3603742437207670
9570111101157468
10132212322013112
1139143a27010020
12129b3773174308
1358a0750c07833
14249117941122c
15104422c677342
hex783f147d0fb8

132212322013112 has 256 divisors, whose sum is σ = 303214022092800. Its totient is φ = 53264563200000.

The previous prime is 132212322013073. The next prime is 132212322013127. The reversal of 132212322013112 is 211310223212231.

It is a super-3 number, since 3×1322123220131123 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 15552556862 + ... + 15552565362.

It is an arithmetic number, because the mean of its divisors is an integer number (1184429773800).

Almost surely, 2132212322013112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132212322013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151607011046400).

132212322013112 is an abundant number, since it is smaller than the sum of its proper divisors (171001700079688).

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

132212322013112 is a wasteful number, since it uses less digits than its factorization.

132212322013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11754 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 132212322013112 its reverse (211310223212231), we get a palindrome (343522545225343).

The spelling of 132212322013112 in words is "one hundred thirty-two trillion, two hundred twelve billion, three hundred twenty-two million, thirteen thousand, one hundred twelve".