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130273343200 = 255271121323643
BaseRepresentation
bin111100101010011100…
…1010111011011100000
3110110020222021112000001
41321110321113123200
54113244433440300
6135502521505344
712261203101210
oct1712471273340
9413228245001
10130273343200
11502809a6a00
12212b8342254
13c3916cb280
14643b900240
1535c6d5916a
hex1e54e576e0

130273343200 has 864 divisors, whose sum is σ = 449644220928. Its totient is φ = 35795865600.

The previous prime is 130273343191. The next prime is 130273343201. The reversal of 130273343200 is 2343372031.

It is a super-2 number, since 2×1302733432002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130273343201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202602079 + ... + 202602721.

It is an arithmetic number, because the mean of its divisors is an integer number (520421552).

Almost surely, 2130273343200 is an apocalyptic number.

130273343200 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 130273343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224822110464).

130273343200 is an abundant number, since it is smaller than the sum of its proper divisors (319370877728).

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

130273343200 is a wasteful number, since it uses less digits than its factorization.

130273343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The spelling of 130273343200 in words is "one hundred thirty billion, two hundred seventy-three million, three hundred forty-three thousand, two hundred".