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132312111100 = 2252132471571061
BaseRepresentation
bin111101100111001101…
…0101001011111111100
3110122112001120122210021
41323032122221133330
54131433400023400
6140441111421524
712362550250021
oct1731632513774
9418461518707
10132312111100
1151127812454
12217870848a4
13c627bca400
1465925ab548
153695d2871a
hex1ece6a97fc

132312111100 has 216 divisors, whose sum is σ = 319840653888. Its totient is φ = 47464934400.

The previous prime is 132312111097. The next prime is 132312111119. The reversal of 132312111100 is 1111213231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124704570 + ... + 124705630.

It is an arithmetic number, because the mean of its divisors is an integer number (1480743768).

Almost surely, 2132312111100 is an apocalyptic number.

132312111100 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 132312111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159920326944).

132312111100 is an abundant number, since it is smaller than the sum of its proper divisors (187528542788).

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

132312111100 is a wasteful number, since it uses less digits than its factorization.

132312111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 132312111100 its reverse (1111213231), we get a palindrome (133423324331).

The spelling of 132312111100 in words is "one hundred thirty-two billion, three hundred twelve million, one hundred eleven thousand, one hundred".