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132112102320 = 2432511313714543
BaseRepresentation
bin111101100001001111…
…1101011001110110000
3110122000010020011022200
41323002133223032300
54131031144233240
6140405204503200
712354601225032
oct1730237531660
9418003204280
10132112102320
1151034923940
12217300aab00
13c5c563c113
146573bc5c52
1536834bb930
hex1ec27eb3b0

132112102320 has 480 divisors, whose sum is σ = 513162584064. Its totient is φ = 30154291200.

The previous prime is 132112102313. The next prime is 132112102349. The reversal of 132112102320 is 23201211231.

132112102320 is a `hidden beast` number, since 1 + 321 + 1 + 21 + 0 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132112102293 and 132112102302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9076969 + ... + 9091511.

Almost surely, 2132112102320 is an apocalyptic number.

132112102320 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 132112102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256581292032).

132112102320 is an abundant number, since it is smaller than the sum of its proper divisors (381050481744).

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

132112102320 is a wasteful number, since it uses less digits than its factorization.

132112102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14641 (or 14632 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132112102320 its reverse (23201211231), we get a palindrome (155313313551).

It can be divided in two parts, 132112 and 102320, that added together give a palindrome (234432).

The spelling of 132112102320 in words is "one hundred thirty-two billion, one hundred twelve million, one hundred two thousand, three hundred twenty".