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132142432200 = 233521319166973
BaseRepresentation
bin111101100010001001…
…1010111111111001000
3110122002020022002002120
41323010103113333020
54131111430312300
6140412210531240
712355420066242
oct1730423277710
9418066262076
10132142432200
115104aa5a159
122173a296b20
13c5cb9cb2ac
146577c3d092
153685ead3a0
hex1ec44d7fc8

132142432200 has 96 divisors (see below), whose sum is σ = 409954564800. Its totient is φ = 35211055360.

The previous prime is 132142432153. The next prime is 132142432211. The reversal of 132142432200 is 2234241231.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 707914 + ... + 874886.

It is an arithmetic number, because the mean of its divisors is an integer number (4270360050).

Almost surely, 2132142432200 is an apocalyptic number.

132142432200 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 132142432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204977282400).

132142432200 is an abundant number, since it is smaller than the sum of its proper divisors (277812132600).

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

132142432200 is a wasteful number, since it uses less digits than its factorization.

132142432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168311 (or 168302 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 132142432200 its reverse (2234241231), we get a palindrome (134376673431).

The spelling of 132142432200 in words is "one hundred thirty-two billion, one hundred forty-two million, four hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1319 2638 3957 5276 6595 7914 10552 13190 15828 19785 26380 31656 32975 39570 52760 65950 79140 98925 131900 158280 166973 197850 263800 333946 395700 500919 667892 791400 834865 1001838 1335784 1669730 2003676 2504595 3339460 4007352 4174325 5009190 6678920 8348650 10018380 12522975 16697300 20036760 25045950 33394600 50091900 100183800 220237387 440474774 660712161 880949548 1101186935 1321424322 1761899096 2202373870 2642848644 3303560805 4404747740 5285697288 5505934675 6607121610 8809495480 11011869350 13214243220 16517804025 22023738700 26428486440 33035608050 44047477400 66071216100 132142432200