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132203200320 = 2632545903889
BaseRepresentation
bin111101100011111101…
…1001011111101000000
3110122020110122102021200
41323013323023331000
54131223004402240
6140422221221200
712360055442622
oct1730773137500
9418213572250
10132203200320
1151081295144
1221756701800
13c60b486a69
146581d3ac12
15368b4b3930
hex1ec7ecbf40

132203200320 has 84 divisors (see below), whose sum is σ = 454723934340. Its totient is φ = 35254185984.

The previous prime is 132203200301. The next prime is 132203200343. The reversal of 132203200320 is 23002302231.

It is a happy number.

132203200320 is a `hidden beast` number, since 1 + 3 + 2 + 20 + 320 + 0 + 320 = 666.

132203200320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40044812544 + 92158387776 = 200112^2 + 303576^2 .

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 = 132203200293 and 132203200302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22949065 + ... + 22954824.

Almost surely, 2132203200320 is an apocalyptic number.

132203200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132203200320 is an abundant number, since it is smaller than the sum of its proper divisors (322520734020).

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

132203200320 is a wasteful number, since it uses less digits than its factorization.

132203200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45903912 (or 45903899 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 132203200320 its reverse (23002302231), we get a palindrome (155205502551).

The spelling of 132203200320 in words is "one hundred thirty-two billion, two hundred three million, two hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 45903889 91807778 137711667 183615556 229519445 275423334 367231112 413135001 459038890 550846668 688558335 734462224 826270002 918077780 1101693336 1377116670 1468924448 1652540004 1836155560 2065675005 2203386672 2754233340 2937848896 3305080008 3672311120 4131350010 4406773344 5508466680 6610160016 7344622240 8262700020 8813546688 11016933360 13220320032 14689244480 16525400040 22033866720 26440640064 33050800080 44067733440 66101600160 132203200320