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113232000300 = 2235217611133221
BaseRepresentation
bin110100101110100100…
…1110011010100101100
3101211021022222121021220
41221131021303110230
53323344343002200
6124003522423340
711115665056566
oct1513511632454
9354238877256
10113232000300
114402656a841
1219b41201b50
13a8a6c91013
1456a253c336
152e2ac174a0
hex1a5d27352c

113232000300 has 288 divisors, whose sum is σ = 355806851904. Its totient is φ = 27697152000.

The previous prime is 113232000241. The next prime is 113232000313. The reversal of 113232000300 is 3000232311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113232000300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35152690 + ... + 35155910.

It is an arithmetic number, because the mean of its divisors is an integer number (1235440458).

Almost surely, 2113232000300 is an apocalyptic number.

113232000300 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 113232000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177903425952).

113232000300 is an abundant number, since it is smaller than the sum of its proper divisors (242574851604).

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

113232000300 is a wasteful number, since it uses less digits than its factorization.

113232000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 113232000300 its reverse (3000232311), we get a palindrome (116232232611).

The spelling of 113232000300 in words is "one hundred thirteen billion, two hundred thirty-two million, three hundred", and thus it is an aban number.