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132303003300 = 2232521334932401
BaseRepresentation
bin111101100110111011…
…1111001111010100100
3110122111102102221020100
41323031313321322210
54131424032101200
6140440144304100
712362406654456
oct1731567717244
9418442387210
10132303003300
1151122661646
1221784012030
13c62605b990
1465912ba2d6
153695129d00
hex1ecddf9ea4

132303003300 has 216 divisors, whose sum is σ = 447889605800. Its totient is φ = 32472576000.

The previous prime is 132303003263. The next prime is 132303003323. The reversal of 132303003300 is 3300303231.

132303003300 is a `hidden beast` number, since 1 + 3 + 2 + 30 + 300 + 330 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6357510756 + 125945492544 = 79734^2 + 354888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4067100 + ... + 4099500.

Almost surely, 2132303003300 is an apocalyptic number.

132303003300 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 132303003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223944802900).

132303003300 is an abundant number, since it is smaller than the sum of its proper divisors (315586602500).

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

132303003300 is a wasteful number, since it uses less digits than its factorization.

132303003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32783 (or 32773 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 132303003300 its reverse (3300303231), we get a palindrome (135603306531).

The spelling of 132303003300 in words is "one hundred thirty-two billion, three hundred three million, three thousand, three hundred".