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132231200200 = 235211269223439
BaseRepresentation
bin111101100100110010…
…1111111110111001000
3110122022102022221220021
41323021211333313020
54131302141401300
6140425101310224
712360545441131
oct1731145776710
9418272287807
10132231200200
1151096079940
1221763b65374
13c61420b538
146585948c88
15368db94d1a
hex1ec997fdc8

132231200200 has 96 divisors (see below), whose sum is σ = 336634704000. Its totient is φ = 47905107200.

The previous prime is 132231200159. The next prime is 132231200203. The reversal of 132231200200 is 2002132231.

It is not an unprimeable number, because it can be changed into a prime (132231200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480081 + ... + 703519.

It is an arithmetic number, because the mean of its divisors is an integer number (3506611500).

Almost surely, 2132231200200 is an apocalyptic number.

132231200200 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 132231200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168317352000).

132231200200 is an abundant number, since it is smaller than the sum of its proper divisors (204403503800).

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

132231200200 is a wasteful number, since it uses less digits than its factorization.

132231200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223735 (or 223726 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132231200200 its reverse (2002132231), we get a palindrome (134233332431).

The spelling of 132231200200 in words is "one hundred thirty-two billion, two hundred thirty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 269 275 440 538 550 1076 1100 1345 2152 2200 2690 2959 5380 5918 6725 10760 11836 13450 14795 23672 26900 29590 53800 59180 73975 118360 147950 223439 295900 446878 591800 893756 1117195 1787512 2234390 2457829 4468780 4915658 5585975 8937560 9831316 11171950 12289145 19662632 22343900 24578290 44687800 49156580 60105091 61445725 98313160 120210182 122891450 240420364 245782900 300525455 480840728 491565800 601050910 661156001 1202101820 1322312002 1502627275 2404203640 2644624004 3005254550 3305780005 5289248008 6010509100 6611560010 12021018200 13223120020 16528900025 26446240040 33057800050 66115600100 132231200200