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132330311300 = 225211374383911
BaseRepresentation
bin111101100111110000…
…0000100111010000100
3110122120022211022202202
41323033200010322010
54132003024430200
6140443001454032
712363161041565
oct1731740047204
9418508738682
10132330311300
1151137013540
12217911a1318
13c62b900565
146594b8816c
1536977211d5
hex1ecf804e84

132330311300 has 288 divisors, whose sum is σ = 333542651904. Its totient is φ = 45130176000.

The previous prime is 132330311293. The next prime is 132330311327. The reversal of 132330311300 is 3113033231.

It is a super-2 number, since 2×1323303113002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145257845 + ... + 145258755.

It is an arithmetic number, because the mean of its divisors is an integer number (1158134208).

Almost surely, 2132330311300 is an apocalyptic number.

132330311300 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 132330311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166771325952).

132330311300 is an abundant number, since it is smaller than the sum of its proper divisors (201212340604).

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

132330311300 is a wasteful number, since it uses less digits than its factorization.

132330311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 132330311300 its reverse (3113033231), we get a palindrome (135443344531).

The spelling of 132330311300 in words is "one hundred thirty-two billion, three hundred thirty million, three hundred eleven thousand, three hundred".