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132303003224 = 23723137749779
BaseRepresentation
bin111101100110111011…
…1111001111001011000
3110122111102102221010112
41323031313321321120
54131424032100344
6140440144303452
712362406654320
oct1731567717130
9418442387115
10132303003224
1151122661587
1221784011b88
13c62605b932
1465912ba280
153695129c9e
hex1ecddf9e58

132303003224 has 64 divisors (see below), whose sum is σ = 297992563200. Its totient is φ = 53840058624.

The previous prime is 132303003199. The next prime is 132303003227. The reversal of 132303003224 is 422300303231.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 132303003224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132303003227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198434 + ... + 551345.

It is an arithmetic number, because the mean of its divisors is an integer number (4656133800).

Almost surely, 2132303003224 is an apocalyptic number.

132303003224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132303003224 is an abundant number, since it is smaller than the sum of its proper divisors (165689559976).

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

132303003224 is a wasteful number, since it uses less digits than its factorization.

132303003224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749952 (or 749948 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 132303003224 its reverse (422300303231), we get a palindrome (554603306455).

The spelling of 132303003224 in words is "one hundred thirty-two billion, three hundred three million, three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 137 161 184 274 322 548 644 959 1096 1288 1918 3151 3836 6302 7672 12604 22057 25208 44114 88228 176456 749779 1499558 2999116 5248453 5998232 10496906 17244917 20993812 34489834 41987624 68979668 102719723 120714419 137959336 205439446 241428838 410878892 482857676 719038061 821757784 965715352 1438076122 2362553629 2876152244 4725107258 5752304488 9450214516 16537875403 18900429032 33075750806 66151501612 132303003224