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130680673200 = 24325271123103199
BaseRepresentation
bin111100110110100101…
…1001101001110110000
3110111022100202000201100
41321231023031032300
54120113223020300
6140011152204400
712304250252220
oct1715513151660
9414270660640
10130680673200
115046a918a70
12213b0839700
13c427c0803c
146479a52080
1535ec9b9700
hex1e6d2cd3b0

130680673200 has 1440 divisors, whose sum is σ = 598704537600. Its totient is φ = 25592371200.

The previous prime is 130680673159. The next prime is 130680673229. The reversal of 130680673200 is 2376086031.

It is a happy number.

130680673200 is a `hidden beast` number, since 1 + 306 + 80 + 6 + 73 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 656686701 + ... + 656686899.

It is an arithmetic number, because the mean of its divisors is an integer number (415767040).

Almost surely, 2130680673200 is an apocalyptic number.

130680673200 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 130680673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299352268800).

130680673200 is an abundant number, since it is smaller than the sum of its proper divisors (468023864400).

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

130680673200 is a wasteful number, since it uses less digits than its factorization.

130680673200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 130680673200 in words is "one hundred thirty billion, six hundred eighty million, six hundred seventy-three thousand, two hundred".